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SPIRES-BOOKS: FIND KEYWORD DISCRETE OPTIMIZATION *END*INIT* use /tmp/qspiwww.webspi1/1656.4 QRY 131.225.70.96 . find keyword discrete optimization ( in books using www Cover
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Call number:SPRINGER-2016-9783319411927:ONLINE Show nearby items on shelf
Title:Search and Optimization by Metaheuristics Techniques and Algorithms Inspired by Nature
Author(s): Ke-Lin Du
Date:2016
Size:1 online resource (40 p.)
Note:10.1007/978-3-319-41192-7
Contents:Preface -- Introduction -- Simulated Annealing -- Optimization by Recurrent Neural Networks -- Genetic Algorithms and Genetic Programming -- Evolutionary Strategies -- Differential Evolution -- Estimation of Distribution Algorithms -- Mimetic Algor ithms -- Topics in EAs -- Particle Swarm Optimization -- Artificial Immune Systems -- Ant Colony Optimization -- Tabu Search and Scatter Search -- Bee Metaheuristics -- Harmony Search -- Biomolecular Computing -- Quantum Computing -- Other Heuristics-Insp ired Optimization Methods -- Dynamic, Multimodal, and Constraint-Satisfaction Optimizations -- Multiobjective Optimization -- Appendix 1: Discrete Benchmark Functions -- Appendix 2: Test Functions -- Index
ISBN:9783319411927
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer simulation , Algorithms , Computer mathematics , Mathematical optimization , Computational intelligence , Mathematics , Computational Science and Engineering , Algorithms , Optimization , Simulation and Modeling , Computational Intelligence
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Call number:SPRINGER-2016-9783319389905:ONLINE Show nearby items on shelf
Title:Fundamentals and Advanced Techniques in Derivatives Hedging
Author(s): Bruno Bouchard
Date:2016
Size:1 online resource (280 p.)
Note:10.1007/978-3-319-38990-5
Contents:Part A. Fundamental theorems -- Discrete time models -- Continuous time models -- Optimal management and price selection -- Part B. Markovian models and PDE approach -- Delta hedging in complete market -- Super-replication and its practical limits -- Hedging under loss contraints -- Part C. Practical implementation in local and stochastic volatility models -- Local volatility models -- Stochastic volatility models -- References
ISBN:9783319389905
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Partial differential equations , Economics, Mathematical , Calculus of variations , Probabilities , Mathematics , Quantitative Finance , Probability Theory and Stochastic Processes , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2016-9783319301150:ONLINE Show nearby items on shelf
Title:Simulation-Driven Design by Knowledge-Based Response Correction Techniques
Author(s): Slawomir Koziel
Date:2016
Size:1 online resource (93 p.)
Note:10.1007/978-3-319-30115-0
Contents:Introduction -- Simulation-Driven Design -- Fundamentals of Numerical Optimization -- Introduction to Surrogate-Based Modeling and Surrogate-Based Optimization -- Design Optimization Using Response Correction Techniques -- Surrogate-Based Optimizat ion Using Parametric Response Correction -- Non-Parametric Response Correction Techniques -- Expedited Simulation-Driven Optimization Using Adaptively Adjusted Design Specification -- Surrogate-Assisted Design Optimization Using Response Features -- Enhan cing Response Correction Techniques by Adjoint Sensitivity -- Multi-Objective Optimization Using Variable-Fidelity Models and Response Correction -- Physics-Base Surrogate Models Using Response Correction -- Summary and Discussion -- References.
ISBN:9783319301150
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer mathematics , Mathematical models , Mathematical optimization , Mathematics , Discrete Optimization , Continuous Optimization , Mathematical Modeling and Industrial Mathematics , Computational Science and Engineering
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Call number:SPRINGER-2014-9783319070919:ONLINE Show nearby items on shelf
Title:Non-equilibrium Energy Transformation Processes [electronic resource] : Theoretical Description at the Level of Molecular Structures
Author(s): Viktor Holubec
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Various experimental techniques have been advanced in recent years to measure non-equilibrium energy transformations on themicroscopic scale of single molecules. In general, the systems studied inthecorrespondingexperiments are exposed to strong ther mal fluctuations and thus the relevant energetic variables such as work and heat become stochastic. This thesis addresses challenging theoretical problems in this active field ofcurrent research: 1) Exact analytical solutions of work and heat distribution s for isothermal non-equilibrium processes in suitable models are obtained 2) Corresponding solutions for cyclic processes involving two different heatreservoirs are found 3) Optimization of periodic driving protocols for such cyclic processes with respec t to maximal output power, efficiency, and minimal power fluctuations is studied. The exact solutions for work and heatdistributionsprovide areference for theoretical investigations of more complicated models,giving insight into the structure of the tail of work distributions andserving asvaluable test cases for simulations of the underlyingstochastic processes
Contents:Introduction
Discrete State Space Models
Continuous State Space Models
Heat Engines
Conclusion
ISBN:9783319070919
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Thermodynamics
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Call number:SPRINGER-2014-9783319020907:ONLINE Show nearby items on shelf
Title:Reduced Order Methods for Modeling and Computational Reduction [electronic resource]
Author(s): Alfio Quarteroni
Gianluigi Rozza
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasison real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications inengineering data assimilation, geometry registr ation, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics real-time visualization of physics-based simulations incomputer science the treatment of high-dimensional problems in state s pace, physical space, or parameter space the interactions between different model reduction and dimensionality reduction approaches the development of generalerror estimation frameworks which take into account both model and discretization effects. This b ook is primarily addressed to computational scientists interested in computational reduction techniques for large scale differentialproblems
Contents:1 W. H. A. Schilders, A. Lutowska: A novel approach to model order reduction for coupled multiphysics problems
2 A. C. Ionita, A. C. Antoulas: Case study. Parametrized Reduction using Reduced
Basis and the Loewner Framework
3 M. Bebendorf, Y. Maday, B. Stamm: Comparison of some reduced representation approximations
4 H. Antil, M. Heinkenschloss, D. C. Sorensen: Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric System
5 K. Urban, S. Volkwein, O. Zeeb: Greedy Sampling using Nonlinear Optimization
6 P. Benner, L. Feng:
ISBN:9783319020907
Series:eBooks
Series:SpringerLink
Series:MS&A - Modeling, Simulation and Applications, 2037-5255 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Computer science Mathematics , Engineering mathematics , Materials
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Call number:SPRINGER-2014-9781461495338:ONLINE Show nearby items on shelf
Title:Genericity in Nonlinear Analysis [electronic resource]
Author(s): Simeon Reich
Alexander J Zaslavski
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and importantproblems. Nonlinear analys is plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The textmay be used as supplementary material for gradu ate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and inthe mathematical sciences. Each chapter is self-contained proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topicspresented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods forminimization in a general Banach space, and the structure of minimal energy configurations with rational numbers i n the AubryMather theory
Contents:Preface
1. Introduction
2. Fixed Point Results and Convergence of Powers of Operators
3. Contractive Mappings
4. Dynamical Systems with Convex Lyapunov Functions
5. Relatively Nonexpansive Operators with Respect to Bregman Distances
6. Infinite Products
7.Best Approximation
8. Descent Methods
9. Set
Valued Mappings
References
Index
ISBN:9781461495338
Series:eBooks
Series:SpringerLink
Series:Developments in Mathematics, 1389-2177 : v34
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Operator theory , Mathematical optimization
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Call number:SPRINGER-2013-9788847028418:ONLINE Show nearby items on shelf
Title:Geometric Properties for Parabolic and Elliptic PDE's [electronic resource]
Author(s): Rolando Magnanini
Shigeru Sakaguchi
Angelo Alvino
Date:2013
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understoodquite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad andwell-established research area, with contributions tha t often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name afew. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulatingfuture developments and perspectives in this very active area of research
Note:Springer eBooks
Contents:Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations
Elvise Berchio, A family of Hardy
Rellich type inequalities involving the L2
norm of the Hessian matrices
Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains
Lorenzo Brasco and Rolando Magnanini, The heart of a convex set
Giulio Ciraolo, A viscosity equation for minimizers of a class of very degenerate elliptic functionals
Adele Ferone, Kato's inequality in the half space: an alternative proof and relative i
ISBN:9788847028418
Series:e-books
Series:SpringerLink (Online service)
Series:Springer INdAM Series, 2281-518X : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Discrete groups , Global differential geometry , Mathematical optimization
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Call number:SPRINGER-2013-9783642324604:ONLINE Show nearby items on shelf
Title:Traffic Flow Dynamics [electronic resource] : Data, Models and Simulation
Author(s): Martin Treiber
Arne Kesting
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specializedmonographs, accessible to a b road readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineeringand, more generally, also at students and professi onals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The mainpart, after presenting different categories of traffic data, is devoted t o a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopicmany-particle models in which each particle corresponds to a vehicle and its driver.Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way.Finally, thetheoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transpor tation systems, traffic operations management, and a detailed physics-based model for fuelconsumption and emissions
Note:Springer eBooks
Contents:Introduction
Part I Traffic Data: Trajectroy and Floating
Car Data
Cross
Sectional Data
Representations of Cross
Sectional Data
Spatiotemporal Reconstruction of the Traffic State
Part II Traffic Flow Modeling: General Aspects
Continuity Equation
The Lighthill
Whitham
Richards Model
Macroscopic Models with Dynamic Velocity
Elementary Car
Following Models
Car
Following Models based on Driving Strategies
Modeling Human Aspects of Driving Behavior
Cellular Automata
Lane
Changing and other Discrete
Choice Situations
Stability Analysis
Calibration and Val
ISBN:9783642324604
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical optimization , Engineering , Operations research
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Call number:SPRINGER-2013-9783319002002:ONLINE Show nearby items on shelf
Title:Discrete Geometry and Optimization [electronic resource]
Author(s): Karoly Bezdek
Antoine Deza
Yinyu Ye
Date:2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplaybetween these subjects. Th e purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 at the Fields Institute, Toronto, was to furtherstimulate the interaction between geometers and optimizers. This volume reflects the interplay between these areas. The inspiring Fejes Tth Lecture Series, delivered by Thomas Hales of the University of Pittsburgh, exemplified thisapproach. While these fields have recently witnessed a lot of activity a nd successes, many questions remain open. For example, Fields medalist Stephen Smale stated that the question of the existence of a strongly polynomial timealgorithm for linear optimization is one of the most important unsolved problems at the beginning o f the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections betweendifferent approaches, and features novel results and state-of-the-art surveys as well as open problems
Note:Springer eBooks
Contents:Preface
Discrete Geometry in Minkowski Spaces (Alonso, Martini, and Spirova)
Engineering Branch
and
Cut Algorithms for the Equicut Program (Anjos, Liers, Pardella, and Schmutzer)
An Approach to the Dodecahedral Conjecture Based on Bounds for Spherical Codes (Anstreicher)
On Minimal Tilings with Convex Cells Each Containing a Unit Ball (Bezdek)
On Volumes of Permutation Polytopes (Burggraf, De Loera, and Omar)
Monotone Paths in Planar Convex Subdivisions and Polytopes (Dumitrescu, Rote, and Toth)
Complexity of the Positive Semidefinite Matrix Completion Problem with a Rank
ISBN:9783319002002
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Communications, 1069-5265 : v69
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups
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Call number:SPRINGER-2013-9781461489870:ONLINE Show nearby items on shelf
Title:Modeling and Optimization: Theory and Applications [electronic resource] : Selected Contributions from the MOPTA 2012 Conference
Author(s): Luis F Zuluaga
Tams Terlaky
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume contains a selection of contributions that were presented at the Modeling and Optimization: Theory and Applications Conference (MOPTA) held at Lehigh University in Bethlehem, Pennsylvania, USA onJuly 30-August 1,2012. The conference broug ht together a diverse group of researchers and practitioners, working on both theoretical and practical aspects of continuous or discrete optimization.Topics presented included algorithms for solving convex,network, mixed-integer, nonlinear, and global op timization problems, and addressed the application of optimization techniques in finance, logistics, health, and other important fields. The contributions contained in this volumerepresent a sample of these topics and applications and illustrate the broad diversity of ideas discussed at the meeting
Note:Springer eBooks
Contents:Preface
1. M. F. Anjos, Recent Progress in Modeling Unit Commitment Problems
2. M. A. Lejeune, Portfolio Optimization with Combinatorial and Downside Return Constraints
3. R. R. Regis, An Initialization Strategy for High
Dimensional Surrogate
Based Expensive Black Box Optimization
4. H. Y. Benson U. Saglam, Smoothing and Regularization for Mixed
IntegerSecond
Order Cone Programming with Application in Portfolio Optimization
5. T. Terlaky D. Li, The Duality between the Perceptron Algorithm and the von Neumann Algorithm
ISBN:9781461489870
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v62
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operations research
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Call number:SPRINGER-2013-9781461442509:ONLINE Show nearby items on shelf
Title:Extremal Fuzzy Dynamic Systems [electronic resource] : Theory and Applications
Author(s): Gia Sirbiladze
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In this book the author presents a new approach to the study of weakly structurable dynamic systems. It differs from other approaches by considering time asa sourceof fuzzy uncertainty in dynamic systems. It begins with athorough introduction, where the general research domain, the problems, and ways of their solutions are discussed. The book then progresses systematically by first covering the theoretical aspects before tackling the applications. Inthe application section, a software library is desc ribed, which contains discrete EFDS identification methods elaborated during fundamental research of the book. Extremal Fuzzy Dynamic Systems will be of interest to theoreticiansinterested in modeling fuzzy processes, to researchers who use fuzzy statisti cs, as well as practitioners from different disciplines whose research interests include abnormal, extreme and monotone processes in nature and society.Graduate students could also find this book useful
Note:Springer eBooks
Contents:Fuzzy Measures and Fuzzy Statistics: Its Probability Representations
Extended Extremal Fuzzy Measures
Extended Extremal Fuzzy Measures on Compositional Product of Measurable Spaces
Modeling of Extremal and Controllable Extremal Fuzzy Processes
Identification of Fuzzy
Integral Models of Extremal fuzzy Processes
Optimization of Continuous Controllable Extremal Fuzzy Processes and the Choice of Decisions
Problems of States Estimation (Filtration) of Extremal Fuzzy Processes
Conclusions on the Parts I
VII
Algorithms and software for Discrete Possibilistic EFDS
Applicat
ISBN:9781461442509
Series:e-books
Series:SpringerLink (Online service)
Series:IFSR International Series on Systems Science and Engineering, 1574-0463 : v28
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Artificial intelligence , Computer simulation , Systems theory , Operations research
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Call number:SPRINGER-2013-9781447148173:ONLINE Show nearby items on shelf
Title:Polyhedral and Algebraic Methods in Computational Geometry [electronic resource]
Author(s): Michael Joswig
Thorsten Theobald
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementaryalgebraic geometry. The f irst part of the book studies classical problems and techniquesthat refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction ofVoronoi diagrams and Delone triangulations. The second p art of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Grbner bases and solving systems of polynomialequations. The theory is illustrated by applications in computer graphics, curve reconstr uction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry,optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineeringstudents who are interested in the applications of computational geometry
Note:Springer eBooks
Contents:Introduction and Overview
Geometric Fundamentals
Polytopes and Polyhedra
Linear Programming
Computation of Convex Hulls
Voronoi Diagrams
Delone Triangulations
Algebraic and Geometric Foundations
Grbner Bases and Buchbergers Algorithm
Solving Systems of Polynomial Equations Using Grbner Bases
Reconstruction of Curves
Plcker Coordinates and Lines in Space
Applications of Non
Linear Computational Geometry
Algebraic Structures
Separation Theorems
Algorithms and Complexity
Software
Notation
ISBN:9781447148173
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra Data processing , Algorithms , Geometry , Discrete groups
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Call number:SPRINGER-2013-9781441979971:ONLINE Show nearby items on shelf
Title:Handbook of Combinatorial Optimization [electronic resource]
Author(s): Panos M Pardalos
Ding-Zhu Du
Ronald L Graham
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The second edition of this 5-volume handbook is intended to be a basic yet comprehensive reference work in combinatorial optimization that will benefit newcomers and researchers for years to come. This multi-volumework dealswith several algorithmic a pproaches for discrete problems as well as with many combinatorial problems. The editors have brought together almost every aspect of this enormous field of combinatorial optimization, an area of research atthe intersection of applied mathematics, compute r science, and operations research and which overlaps with many other areas such as computation complexity, computational biology, VLSI design, communications networks, and managementscience. Aninternational team of 30-40 experts in the field form the edi torial board. The Handbook of Combinatorial Optimization, second edition is addressed to all scientists who use combinatorial optimization methods to model andsolve problems. Experts in the field as well as non-specialists will find the material stimulati ng and useful
Note:Springer eBooks
Contents:Introduction
Part 1. General Methodology
Analysis of Greedy Approximations
Guillotine Partition in Geometric Optimization
Mixed
Integer Nonlinear Optimization in Process Synthesis
Connection between Nonlinear Programming and Discrete Optimization
Interior Point Methods for Combinatorial Optimization
Fractional Combinatorial Optimization
Reformulation
Linearization Techniques for Discrete Optimization Problems
Grobner Bases in Integer Programming
Dynamical System Approaches to Combinatorial Optimization
Semidefinite Relaxation, Multivariate Norma Distribution an
ISBN:9781441979971
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics , Mathematical optimization
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Call number:SPRINGER-2012-9788847025387:ONLINE Show nearby items on shelf
Title:Financial Mathematics [electronic resource] : Theory and Problems for Multi-period Models
Author(s): Andrea Pascucci
Wolfgang J Runggaldier
Date:2012
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:With the Bologna Accords a bachelor-master-doctor curriculum has been introduced in various countries with the intention that students may enter the job market already at the bachelor level. Since financial Institutions providenon negligible job oppo rtunities also for mathematicians, and scientists in general, it appeared to be appropriate to have a financial mathematics course already at the bachelor level in mathematics. Most mathematical techniques in usein financial mathematics are related to con tinuous time models and require thus notions from stochastic analysis that bachelor students do in general not possess. Basic notions and methodologies in use in financial mathematics canhowever be transmitted to students also without the technicalities f rom stochastic analysis by using discrete time (multi-period) models for which general notions from Probability suffice and these are generally familiar to studentsnot only from science courses, but also from economics with quantitative curricula. There d o not exists many textbooks for multi-period models and the present volume is intended to fill in this gap. It deals with the basic topics infinancial mathematics and, for each topic, there is a theoretical section and a problem section. The latter includ es a great variety of possible problems with complete solution
Note:Springer eBooks
Contents:Pricing and hedging
Portfolio optimization
American options
Interest rates
ISBN:9788847025387
Series:e-books
Series:SpringerLink (Online service)
Series:Unitext, 2038-5714
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Economics
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Call number:SPRINGER-2012-9783034804363:ONLINE Show nearby items on shelf
Title:Mathematical Optimization of Water Networks [electronic resource]
Author(s): Alexander Martin
Kathrin Klamroth
Jens Lang
Gnter Leugering
Antonio Morsi
Martin Oberlack
Manfred Ostrowski
Roland Rosen
Date:2012
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particularrainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover, different types of decisions (continuous and discrete) have to be taken in the water management. Thenetworks have to be optimized in terms of topology and operation by targeting a variety of criteria. Criteria may for example be economic, social or ecological ones and may compete with each other. The development of complex modelsystems and their use for deriving optimal decisions in water management is taking place at a rapid pace. Simulation and optimization methods originating in Operations Research have been used for several decades usually with verylimited direct cooperation with applied mathematics. The research presented here aims at bridging this gap, thereby opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has beencarried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and di rect connection to the practice of water management has been established by involving application-orientedknow-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamictransportation systems and optimization as well as control of hybrid systems. Most of the presented research has been supported by the joint project Discret-continuous o ptimization of dynamic water systems of the federalministry of education and research (BMBF)
Note:Springer eBooks
Contents:Part I Optimization of Water Supply Networks
Modelling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems
Simulation and Continuous Optimization
Mixed Integer Optimizationof Water Supply Networks
Nonlinear and Mixed Integer Linear Programming
Part II Optimal Control of Sewer Networks
Optimal Control of Sewer Networks Problem Description
Modelling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows
Optimal Control of Sewer Networks Engineers View
Real
Time Control of Urban Drainage Systems
Performance
ISBN:9783034804363
Series:e-books
Series:SpringerLink (Online service)
Series:International Series of Numerical Mathematics : v162
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Mathematical optimization
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Call number:SPRINGER-2012-9781461442110:ONLINE Show nearby items on shelf
Title:Methods of Optimization and Systems Analysis for Problems of Transcomputational Complexity [electronic resource]
Author(s): Ivan V Sergienko
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This work presents lines of investigation and scientific achievements of the Ukrainian school of optimization theory and adjacent disciplines. These include the development ofapproaches to mathematical theories, methodologies,methods, and application systems for the solution of applied problems in economy, finances, energy saving, agriculture, biology, genetics, environmental protection, hardware and software engineering, information protection, decisionmaking, pattern recognition, self-adapting cont rol of complicated objects, personnel training, etc. The methods developed include sequential analysis of variants, nondifferential optimization, stochastic optimization, discreteoptimization, mathematical modeling, econometric modeling, solution of extre mum problems on graphs, construction of discrete images and combinatorial recognition, etc. Some of these methods became well known in the world's mathematicalcommunity and are now known as classic methods
Note:Springer eBooks
Contents:Preface
1. Science Was the Meaning of His Life
2. Optimization Methods and Their Efficient Use
3.Mathematical Modeling and Analysis of Complex Processes on Supercomputer Systems
4. Problems of Modeling and Analysis of Processes in Economic Cybernetics
5. Problems of Solving Complicated Combinatorial Problems
Afterward
References
Index
ISBN:9781461442110
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v72
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Computer vision , Mathematical optimization
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Call number:SPRINGER-2012-9781461439240:ONLINE Show nearby items on shelf
Title:Modeling and Optimization: Theory and Applications [electronic resource] : Selected Contributions from the MOPTA 2010 Conference
Author(s): Tams Terlaky
Frank E Curtis
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume contains a selection of contributions that were presented at the Modeling and Optimization: Theory and Applications Conference (MOPTA) held at Lehigh University in Bethlehem, Pennsylvania, USA on August 18-20, 2010.The conference brought together a diverse group of researchers and practitioners, working on both theoretical and practical aspects of continuous or discrete optimization.Topics presented included algorithms for solving convex,network, mixed-integer, nonlinear, and global optim ization problems, and addressed the application of optimization techniques in finance, logistics, health, and other important fields. The contributions contained in this volumerepresent a sample of these topics and applications and illustrate the broad di versity of ideas discussed at the meeting
Note:Springer eBooks
ISBN:9781461439240
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v21
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Engineering mathematics
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Call number:SPRINGER-2012-9781461419273:ONLINE Show nearby items on shelf
Title:Mixed Integer Nonlinear Programming [electronic resource]
Author(s): Jon Lee
Sven Leyffer
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set offeasible and optimal sol utions. Mixed-integer nonlinear programming (MINLP) problems combine the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discretevariables. MINLP is one of the most flexible modeling paradigms available for optimization but because its scope is so broad, in the most general cases it is hopelessly intractable. Nonetheless, an expanding body of researchers andpractitioners including chemical engineers, operations researchers, industrial engineers, mechanical engineers, economists, statisticians, computer scientists, operations managers, and mathematical programmers are interested insolving large-scale MINLP instances
Note:Springer eBooks
Contents:Foreword
Preface
Algorithms and software for convex mixed integer nonlinearprograms
Subgradient based outer approximation for mixed integer secondorder cone programming
Perspective reformulation and applications
Generalized disjunctive programming: A framework for formulation and alternative algorithms for MINLP optimization
Disjunctive cuts for nonconvex MINLP
Sequential quadratic programming methods
Using interior
point methods within an outer approximation framework for mixed integer nonlinear programming
Using expression graphs in optimization algorithms
Symmetry i
ISBN:9781461419273
Series:e-books
Series:SpringerLink (Online service)
Series:The IMA Volumes in Mathematics and its Applications, 0940-6573 : v154
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algorithms
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Call number:SPRINGER-2012-9780817683375:ONLINE Show nearby items on shelf
Title:Optimization, Control, and Applications of Stochastic Systems [electronic resource] : In Honor of Onsimo Hernndez-Lerma
Author(s): Daniel Hernndez-Hernndez
J. Adolfo Minjrez-Sosa
Date:2012
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Compiled in honor of Onsimo Hernndez-Lerma, this volume offers a broad presentation of the main concepts, techniques, and methodologies in the fields of optimization and control of stochastic systems. At the same time, thebook provides an overview of their wide-ranging applications and theoretical developments. These topics include various aspects of dynamic programming, discounted and average optimality criteria for discrete- and continuous-timecontrol processes, approximation algorithms, optimal sto pping, and games. The work comprises 18 carefully selected papers written by experts in their respective fields, and explores five major themes: * discrete-time Markov controlprocesses * several optimality criteria * applications in inventory systems and finance * stochastic optimal control problems for diffusion * optimization. This book will be a valuable resource for all practitioners, researchers,and professionals in applied mathematics and operations research who work in the areas of stochastic contr ol, mathematical finance, queueing theory,and inventory systems. It may also serve as a supplemental text for graduate coursesin optimal control and its applications
Note:Springer eBooks
Contents:1 On the Policy Iteration Algorithm for Non
degenerate Controlled Diffusions under the Ergodic Criterion
2 Discrete
Time Inventory Problems with Lead Time and Order
Time Constraint
3 Sample
Path Optimality in Average Markov Decision Chains
4 Approximation of Infinite Horizon Discounted Cost Markov
5 Reduction of Discounted Continuous
Time MDPs with Unbounded
6 Continuous
Time Controlled Jump Markov Processes on the Finite
7 Existence and Uniqueness of Solutions of SPDEs in Infinite Dimensions
8 A Constrained Optimization Problem with Applications to Constrained
9 Optima
ISBN:9780817683375
Series:e-books
Series:SpringerLink (Online service)
Series:Systems & Control: Foundations & Applications
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Mathematical optimization , Engineering mathematics
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Call number:SPRINGER-2012-9780387886190:ONLINE Show nearby items on shelf
Title:Sensors: Theory, Algorithms, and Applications [electronic resource]
Author(s): Vladimir L Boginski
Clayton W Commander
Panos M Pardalos
Yinyu Ye
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In recent years, technological advances have resulted in the rapid development of a new and exciting research direction the interdisciplinary use of sensors for data collection, systems analysis, and monitoring. These highlycalibrated sensors requir e precision engineering techniques that play an important role in analyzing and integrating large datasets. Sensor networks in particular represent a very active area of research, including work on problemssuch as sensor network localization andnetwork de sign. Application areas for sensors and sensor networks include environmental monitoring, military surveillance, computational neuroscience, seismic detection, and a great deal more. The fundamental problems of utilizing the collected data for efficient s ystem operation and decision making encompasses multiple research areas, including applied mathematics, optimization, signal/image processing, as well asemerging areas that require interdisciplinary techniques from several fields of research. Sensors: Th eory, Algorithms, and Applications brings together recent developments from researchers representing various fields fromengineering, mathematics, and computer science, along with application areas of biomedicine, transportation, and military systems. This volume is ideal for scientists, practitioners, and graduate students who are interested in theknowledge, ideas, and techniques involved in state-of-the-art sensor research
Note:Springer eBooks
Contents:Preface
On Enhancing Fault Tolerance of Virtual Backbone in a Wireless Sensor Network with Unidirectional Links (R. Tiwari, M.T. Thai)
Constrained Node Placement and Assignment in Mobile Backbone Networks (E.M. Craparo)
Canonical Dual Solutions to Sum of Fourth
Order Polynomials Minimization Problems with Applications to Sensor Network Localization (D.Y. Gao, N. Ruan, P.M. Pardalos)
Optimal Estimation of Multidimensional Data with Limited Measurements (W. MacKunis, J. W. Curtis, P.E.K. Berg
Yuen)
Informational Patterns in Discrete
Time Linear
Quadratic Dynamic Games (M. Pachter,
ISBN:9780387886190
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v61
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algorithms , Mathematical optimization , Electronics , Telecommunication , Systems engineering
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Call number:SPRINGER-2011-9783642183249:ONLINE Show nearby items on shelf
Title:Markov Decision Processes with Applications to Finance [electronic resource]
Author(s): Nicole Buerle
Ulrich Rieder
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The theory of Markov decision processes focuses on controlled Markov chains in discrete time. The authors establish the theory for general state and action spaces and at the same time show its application by means of numerousexamples, mostly taken fr om the fields of finance and operations research. By using a structural approach many technicalities (concerning measure theory) are avoided. They cover problems with finite and infinite horizons, as well aspartially observable Markov decision processes, piecewise deterministic Markov decision processes and stopping problems. The book presents Markov decision processes in action and includes various state-of-the-art applications with aparticular view towards finance. It is useful for upper-level undergrad uates, Master's students and researchers in both applied probability and finance, and provides exercises (without solutions).
Note:Springer eBooks
Contents:Preface
1.Introduction and First Examples
Part I Finite Horizon Optimization Problems and Financial Markets
2.Theory of Finite Horizon Markov Decision Processes
3.The Financial Markets
4.Financial Optimization Problems
Part II Partially Observable Markov Decision Problems
5.Partially Observable Markov Decision Processes
6.Partially Observable Markov Decision Problems in Finance
Part III Infinite Horizon Optimization Problems
7.Theory of Infinite Horizon Markov Decision Processes
8.Piecewise Deterministic Markov Decision Processes
9.Optimization Problems in F
ISBN:9783642183249
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
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Call number:SPRINGER-2011-9781461402374:ONLINE Show nearby items on shelf
Title:Introduction to Stochastic Programming [electronic resource]
Author(s): John R Birge
Franois Louveaux
Date:2011
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The aim of stochastic programming is to find optimal decisions in problems which involve uncertain data. This field is currently developing rapidly with contributions from many disciplines including operations research,mathematics, and probability. A t the same time, it is now being applied in a wide variety of subjects ranging from agriculture to financial planning and from industrial engineering to computer networks. This textbook provides a firstcourse in stochastic programming suitable for student s with a basic knowledge of linear programming, elementary analysis, and probability. The authors aim to present a broad overview of the main themes and methods of the subject. Itsprime goal is to help students develop an intuition on how to model uncerta inty into mathematical problems, what uncertainty changes bring to the decision process, and what techniques help to manage uncertainty in solving the problems.In this extensively updated new edition there is more material on methods and examples includin g several new approaches for discrete variables, new results on risk measures in modeling and Monte Carlo sampling methods, a new chapter onrelationships to other methods including approximate dynamic programming, robust optimization and online methods. T he book is highly illustrated with chapter summaries and many examples and exercises. Students, researchers andpractitioners in operations research and the optimization area will find it particularly of interest. Review of First Edition: The discussion on modeling issues, the large number of examples used to illustrate the material, and thebreadth of the coverage make'Introduction to Stochastic Programming' an ideal textbook for the area. (Interfaces, 1998)
Note:Springer eBooks
Contents:Introduction and Examples
Uncertainty and Modeling Issues
Basic Properties and Theory
The Value of Information and the Stochastic Solution
Two
Stage Recourse Problems
Multistage Stochastic Programs
Stochastic Integer Programs
Evaluating and Approximating Expectations
Monte Carlo Methods
Multistage Approximations
Sample Distribution Functions
References
ISBN:9781461402374
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Operations Research and Financial Engineering, 1431-8598
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Mathematical statistics
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Call number:SPRINGER-2011-9781441996404:ONLINE Show nearby items on shelf
Title:Topics in Nonconvex Optimization [electronic resource] : Theory and Applications
Author(s): Shashi Kant Mishra
Date:2011
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvexoptimization problemsare frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science. Thiscontributed volume consists of selected contribu tions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts,theoretical developments, and applications from these researchers. Both theore tical and applied articles are contained in this volume which adds to the state of the art research in this field. Topics in Nonconvex Optimization issuitable for advanced graduate students and researchers in this area
Note:Springer eBooks
Contents:Some Equivalences among Nonlinear Complementarity Problems, Least
Element Problems and Variational Inequality Problems in Ordered Spaces. Qamrul Hasan Ansari and Jen
Chih Yao
Generalized Monotone Maps and Complementarity Problems. S. K. Neogy and A. K. Das
Optimality Conditions Without Continuity in Multivalued Optimization using Approximations as Generalized Derivatives. Phan Quoc Khanh and Nguyen Dinh Tuan
Variational Inequality and Complementarity Problem. Sudarsan Nanda
A Derivative for Semi
preinvex Functions and its Applications in Semi
preinvex Programming. Y.X. Zhao, S.Y
ISBN:9781441996404
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v50
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
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Call number:SPRINGER-2011-9780817681012:ONLINE Show nearby items on shelf
Title:A First Course in Statistics for Signal Analysis [electronic resource]
Author(s): Wojbor A Woyczynski
Date:2011
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
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Note:'A First Course in Statistics for Signal Analysis' is a small, dense, and inexpensive book that covers exactly what the title says: statistics for signal analysis. The book has much to recommend it. The author clearly understandsthe topics presented. The topics are covered in a rigorous manner, but not so rigorous as to be ostentatious. The sequence of topics is clearly targeted at the spectral properties of Gaussian stationary signals. Any student studyingtraditional communications and signal proces sing would benefit from an understanding of these topics...In summary, [the work] has much in its favor...This book is most appropriate for a graduate class in signal analysis. It also couldbe used as a secondary text in a statistics, signal processing, o r communications class. JASA> (Review of the First Edition) This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first,one-semester course in statistical signal analysis for a broad audience of students in en gineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationaryrandom signals, explained in a concise, yet fairly rigorous presentation. Topics and Features: Fourier series and transformsfundamentally important in random signal analysis and processingare developed from scratch, emphasizingthe time-domain vs. frequency-domain duality Basic concepts of probability theory, laws of large numbers, the central limit theorem, and s tatistical parametric inference procedures are presented so that no prior knowledge ofprobability and statistics is required the only prerequisite is a basic twothree semester calculus sequence Computer simulation algorithms of stationary random signals w ith a given power spectrum density Complementarybibliography for readers who wish to pursue the study of random signals in greater depth Many diverse examples and end-of-chapter problem
Note:Springer eBooks
Contents:Foreword to the Second Edition
Introduction
Notation
Description of Signals
Spectral Representation of Deterministic Signals: Fourier Series and Transforms
Random Quantities and Random Vectors
Stationary Signals
Power Spectra of Random Signals
Transmission of Stationary Signals through Linear Systems
Optimization of Signal
to
Noise Ratio in Linear Systems
Gaussian Signals, Covariance Matrices, and Sample Path Properties
Spectral Representation of Discrete
Time Stationary Signals and Their Computer Simulations
Solutions to Selected Exercises
Bibliographica
ISBN:9780817681012
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Fourier analysis , Mathematics , Mathematical statistics
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Call number:SPRINGER-2010-9783642140037:ONLINE Show nearby items on shelf
Title:Fractional Dynamics [electronic resource] : Applications of Fractional Calculus to Dynamics of Particles, Fields and Media
Author(s): Vasily E Tarasov
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systemswith long-time memory, no n-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of openquantum systems, the hydrodynamics and electrody namics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and appliedmathematics who are interested in electrodynamics, statistical and co ndensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E.Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute
Note:Springer eBooks
Contents:Fractional Continuous Models of Fractal Distributions
Fractional Integration and Fractals
Hydrodynamics of Fractal Media
Fractal Rigid Body Dynamics
Electrodynamics of Fractal Distributions of Charges and Fields
Ginzburg
Landau Equation for Fractal Media
Fokker
Planck Equation for Fractal Distributions of Probability
Statistical Mechanics of Fractal Phase Space Distributions
Fractional Dynamics and Long
Range Interactions
Fractional Dynamics of Media with Long
Range Interaction
Fractional Ginzburg
Landau Equation
Psi
Series Approach to Fractional Equations
F
ISBN:9783642140037
Series:e-books
Series:SpringerLink (Online service)
Series:Nonlinear Physical Science, 1867-8440 : v0
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical optimization , Engineering mathematics
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Call number:SPRINGER-2010-9783642129711:ONLINE Show nearby items on shelf
Title:Triangulations [electronic resource] : Structures for Algorithms and Applications
Author(s): Jess A Loera
Jrg Rambau
Francisco Santos
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Triangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents the first comprehensivetreatment of the theory of secondary polytopes and related topics. A central theme of the book is the use of the rich structure of the space of triangulations to solve computational problems (e.g., counting the number of triangulationsor finding optimal triangulations with respect to various criteria), and to establish connections to applications in algebra, computer science, combinatorics, and optimization. With many examples and exercises, and with nearly fivehundred illustrations, the book gently guides readers through the prope rties of the spaces of triangulations of structured (e.g., cubes, cyclic polytopes, lattice polytopes) and pathological (e.g., disconnected spaces oftriangulations) situations using only elementary principles
Note:Springer eBooks
Contents:1 Triangulations in Mathematics
2 Configurations, Triangulations, Subdivisions, and Flips
3 Life in two Dimensions
4 A Tool Box
5 Regular Triangulations and Secondary Polytopes
6 Some Interesting Configurations
7 Some Interesting Triangulations
8 Algorithmic Issues
9 Further Topics
Bibliography
Index
ISBN:9783642129711
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v25
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Computer science Mathematics , Algorithms , Combinatorics , Discrete groups
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Call number:SPRINGER-2010-9783642038228:ONLINE Show nearby items on shelf
Title:CATBox [electronic resource] : An Interactive Course in Combinatorial Optimization
Author(s): Winfried Hochstttler
Alexander Schliep
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Graph algorithms are easy to visualize and indeed there already exists a variety of packages and programs to animate the dynamics when solving problems from graph theory. Still, and somewhat surprisingly, it can be difficult tounderstand the ideas be hind the algorithm from the dynamic display alone. CATBox consists of a software system for animating graph algorithms and a course book which we developed simultaneously. The software system presents both thealgorithm and the graph and puts the user alwa ys in control of the actual code that is executed. He or she can set breakpoints, proceed in single steps and trace into subroutines. The graph, and additional auxiliary graphs likeresidual networks, are displayed and provide visual feedback. The course b ook, intended for readers at advanced undergraduate or graduate level, introduces the ideas and discusses the mathematical background necessary for understandingand verifying the correctness of the algorithms and their complexity. Computer exercises and e xamples replace the usual static pictures of algorithm dynamics. For this volume we have chosen solely algorithms for classical problems fromcombinatorial optimization, such as minimum spanning trees, shortest paths, maximum flows, minimum cost flows as w ell as weighted and unweighted matchings both for bipartite and non-bipartite graphs. We consider non-bipartite weightedmatching, in particular in the geometrical case, a highlight of combinatorial optimization. In order to enable the reader to fully enjo y the beauty of the primal-dual solution algorithm for weighted matching, we present allmathematical material not only from the point of view of graph theory, but also with an emphasis on linear programming and its duality. This yields insightful and aest hetically pleasing pictures for matchings, but also for minimumspanning trees. You can find more information at http://schliep.org/CATBox/
Note:Springer eBooks
Contents:Discrete Problems from Applications
Basics, Notation and Data Structures
Minimum Spanning Trees
Linear Programming Duality
Shortest Paths
Maximal Flows
Minimum
Cost Flows
Matching
Weighted Matching
ISBN:9783642038228
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computational complexity , Combinatorics , Mathematical optimization , Operations research , Economics, Mathematical
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Call number:SPRINGER-2010-9781441971654:ONLINE Show nearby items on shelf
Title:Applied Probability [electronic resource]
Author(s): Kenneth Lange
Date:2010
Edition:Second
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduatestudents in applied ma thematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, andelementary probability theory. Chapter 1 revi ews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilisticapplications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented withappropriate sections from Chapters 1 and 2, there is sufficient material for a traditional se mester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, anddiffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besidesthe two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion ofbasic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientist s from a variety of backgrounds will find Applied Probability useful as areference. Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Departments of Biomathematics and Human Gene
Note:Springer eBooks
Contents:Basic Notions of Probability Theory
Calculation of Expectations
Convexity, Optimization, and Inequalities
Combinatorics
Combinatorial Optimization
Poisson Processes
Discrete
Time Markov Chains
Continuous
Time Markov Chains
Branching Processes
Martingales
Diffusion Processes
Asymptotic Methods
Numerical Methods
Poisson Approximation
Number Theory
Appendix: Mathematical Review
ISBN:9781441971654
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X : v0
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Computer science , Computer simulation , Biology Mathematics , Computer science Mathematics , Distribution (Probability theory) , Mathematical statistics
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Call number:SPRINGER-2010-9781441911056:ONLINE Show nearby items on shelf
Title:Hybrid Switching Diffusions [electronic resource] : Properties and Applications
Author(s): G. George Yin
Chao Zhu
Date:2010
Edition:First
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This book presents a comprehensive study of hybrid switching diffusion processes and their applications. The motivations for studying such processes originate from emerging and existing applications in wireless communications,signal processing, queue ing networks, production planning, biological systems, ecosystems, financial engineering, and modeling, analysis, and control and optimization of large-scale systems, under the influence of random environment.One of the distinct features of the processes under consideration is the coexistence of continuous dynamics and discrete events. This book is written for applied mathematicians, applied probabilists, systems engineers, controlscientists, operations researchers, and financial analysts. Selected materi als from the book may also be used in a graduate level course on stochastic processes and applications or a course on hybrid systems. A large part of the bookis concerned with the discrete event process depending on the continuous dynamics. In addition to the existence and uniqueness of solutions of switching diffusion equations, regularity, Feller and strong Feller properties, continuousand smooth dependence on initial data, recurrence, ergodicity, invariant measures, and stability are dealt with. Numeri cal methods for solutions of switching diffusions are developed algorithms for approximation to invariant measuresare investigated. Two-time-scale models are also examined. The results presented in the book are useful to researchers and practitioners who need to use stochastic models to deal with hybrid stochastic systems, and to treat real-worldproblems when continuous dynamics and discrete events are intertwined, in which the traditional approach using stochastic differential equations aloneis no longer adequate
Note:Springer eBooks
Contents:Preface
Introduction and Motivation
Switching Diffusion
Recurrence
Ergodicity
Numerical Approximation
Numerical Approximation to Invariant Measures
Stability
Stability of Switching ODE
Invariance Principles
Positive Recurrence: Multi
ergodic
class of Switching Processes
Stochastic Volatility Using Regime
switching Diffusions
Two
time
scale Switching Jump
diffusions
Appendix
References
ISBN:9781441911056
Series:e-books
Series:SpringerLink (Online service)
Series:Stochastic Modelling and Applied Probability, 0172-4568 : v63
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2010-9781441906304:ONLINE Show nearby items on shelf
Title:Mathematical Methods in Robust Control of Discrete-Time Linear Stochastic Systems [electronic resource]
Author(s): Vasile Dragan
Toader Morozan
Adrian-Mihail Stoica
Date:2010
Edition:First
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:In this monograph the authors develop a theory for the robust control of discrete-time stochastic systems, subjected to both independent random perturbations and to Markov chains. Such systems are widely used to providemathematical models for real pr ocesses in fields such as aerospace engineering, communications, manufacturing, finance and economy. The theory is a continuation of the authors work presented in their previous book entitledMathematical Methods in Robust Control of Linear Stochastic Syst ems published by Springer in 2006. Key features: - Provides a common unifying framework for discrete-time stochastic systems corrupted with both independent randomperturbations and with Markovian jumps which are usually treated separately in the control l iterature - Covers preliminary material on probability theory, independent random variables, conditional expectation and Markov chains -Proposes new numerical algorithms to solve coupled matrix algebraic Riccati equations - Leads the reader in a natural w ay to the original results through a systematic presentation - Presents new theoretical results with detailednumerical examples The monograph is geared to researchers and graduate students in advanced control engineering, applied mathematics, mathematical systems theory and finance. It is also accessible to undergraduate students with afundamental knowledge in the theory of stochastic systems
Note:Springer eBooks
Contents:Elements of probability theory
Discrete
time linear equations defined by positive operators
Mean square exponential stability
Structural properties of linear stochastic systems
Discrete
time Riccati equations of stochastic control
Linear quadratic optimization problems
Discrete
time stochastic optimal control
Robust stability and robust stabilization of discrete
time linear stochastic systems
ISBN:9781441906304
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Systems theory , Numerical analysis , Mathematical optimization , Distribution (Probability theory)
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Call number:SPRINGER-2010-9780387980980:ONLINE Show nearby items on shelf
Title:Real Analysis and Applications [electronic resource] : Theory in Practice
Author(s): Kenneth R Davidson
Allan P Donsig
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This new approach to real analysis stresses the use of the subject in applications, showing how the principles and theory of real analysis can be applied in various settings. Applications cover approximation by polynomials,discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. Each chapter has many useful exercises. The treatment of the basic theorycovers the real numbers, functions, and calculus, whi le emphasizing the role of normed vector spaces, and particularly of Rn. The applied chapters are mostly independent, giving the reader a choice of topics. This book is appropriatefor students with a prior knowledge of both calculus and linear algebra who want a careful development of both analysis and its use in applications. Review of the previous version of this book, Real Analysis with Real Applications: Awell balanced book! The first solid analysis course, with proofs, is central in the offerings of any math.-dept. ---and yet, the new books that hit the market don't always hit the mark: the balance between theory and applications,---between technical proofs and intuitive ideas, ---between classical and modern subjects, and between real life exercises vs. the ones that drill a new concept. The Davidson-Donsig book is outstanding, and it does hit the mark.Palle E. T. Jorgenson, Review from Amazon.com Kenneth R. Davidson is University Professor of Mathematics at the University of Waterloo. Allan P. Dons ig is Associate Professor of Mathematics at the University of Nebraska-Lincoln
Note:Springer eBooks
Contents:Preface
Review
The Real Numbers
Series
Topology of Rn
Functions
Differentiation and Integration
Norms and Inner Products
Limits of Functions
Metric Spaces
Approximation by Polynomials
Discrete Dynamical Systems
Differential Equations
Fourier Series and Physics
Fourier Series and Approximation
Wavelets
Convexity and Optimization
References
Index
ISBN:9780387980980
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics)
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Call number:SPRINGER-2009-9789048123315:ONLINE Show nearby items on shelf
Title:Nonlinear Solid Mechanics [electronic resource]
Author(s): Adnan Ibrahimbegovic
Date:2009
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
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Note:This volume provides insight into modelling and ultimate limit computation of complex structures, with their components represented by solid deformable bodies. The book examines practically all the important questions of currentinterests for nonlinea r solid mechanics: plasticity, damage, large deformations, contact, dynamics, instability, localisation and failure, discrete models, multi-scale, multi-physics and parallel computing, with special attention givento finite element solution methods. The pr esentation of topics is structured around different aspects of typical boundary value problems in nonlinear solid mechanics, which provides the best pedagogical approach while keeping the booksize reasonable despite its very broad contents. Other strong p oints are the exhaustive treatment of subjects, with each question studied from different angles of mechanics, mathematics and computation, as well as a successful mergerof scientific cultures and heritage from Europe and the USA. The book content and sty le is also the product of rich international experience in teaching Master and Doctoral level courses, as well as the courses organized forparticipants from industry (IPSI courses) in France, and similar courses in Germany and Italy. Every effort was made to make the contents accessible to non-specialists and users of computer programs. The original French editionpublished by Hermes Science - Lavoisier Paris in 2006 was nominated for the Roberval Award for University Textbooks in French
Note:Springer eBooks
Contents:Boundary value problem in linear and nonlinear elasticity
Inelastic behavior at small strains
Large displacements and deformations
Changing boundary conditions: contact problems
Dynamics and time
integration schemes
Thermodynamics and solution methods for coupled problems
Geometric and material instabilities
Multi
scale modelling of inelastic behavior
ISBN:9789048123315
Series:e-books
Series:SpringerLink (Online service)
Series:Solid Mechanics and its Applications, 0925-0042 : v160
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Mathematical optimization , Engineering , Materials
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Call number:SPRINGER-2009-9783540850250:ONLINE Show nearby items on shelf
Title:Optimization and Multiobjective Control of Time-Discrete Systems [electronic resource] : Dynamic Networks and Multilayered Structures
Author(s): Stefan Pickl
Dmitrii Lozovanu
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:The study of discrete structures and networks becomes more and more important in decision theory. A relevant topic in modern control theory reflecting this fact is concerned with multiobjective control problems and dynamicalgames. The monograph prese nts recent developments and applications in the field of multiobjective control of time-discrete systems with a finite set of states. The dynamics of such systems is described by a directed graph in which eachvertex corresponds to a dynamic state and the edges correspond to transitions of the system moving from one state to another. This characterization allows us to formulate the considered control models on special dynamic networks.Suitable algorithms are derived exploiting multilayered structures. Game theoretical properties are characterized. A multilayered game on a network can be used to model a certain trading procedure of emission certificates within Kyotoprocess. Optimal economic behavior and equilibria can be determined
Note:Springer eBooks
ISBN:9783540850250
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Control engineering systems , System safety
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Call number:SPRINGER-2009-9783540693154:ONLINE Show nearby items on shelf
Title:Optimal Transportation Networks [electronic resource] : Models and Theory
Author(s): Marc Bernot
Vicent Caselles
Jean-Michel Morel
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. In contrast to the Monge-Kantorovitch problem, recent approaches model thebranched structure of such supply networks as minima of an energy functional whose essential feature is to favour wide roads. Such a branched structure is observable in ground transportation networks, in draining and irrigationsystems, in electrical power supply systems and in natu ral counterparts such as blood vessels or the branches of trees. These lectures provide mathematical proof of several existence, structure and regularity properties empiricallyobserved in transportation networks. The link with previous discrete physical m odels of irrigation and erosion models in geomorphology and with discrete telecommunication and transportation models is discussed. It will bemathematically proven that the majority fit in the simple model sketched in this volume
Note:Springer eBooks
Contents:1 Introduction: the models
2 The mathematical models
3 Traffic plans
4 The structure of optimal traffic plans
5 Operations on traffic plans
6 Traffic plans and distances between measures
7 The tree structure of optimal traffic plans and their approximation
8 Interior and boundary regularity
9 The equivalence of various models
10 Irrigability and dimension
11 The landscape of an optimal pattern
12 The Gilbert
Steiner problem
13 Dirac to Lebesgue segment: a case study
14 Application: embedded irrigation networks
15 Open problems
A Skorokhod Theorem
ISBN:9783540693154
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1955
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Operations research , Engineering economy
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Call number:SPRINGER-2009-9781402088391:ONLINE Show nearby items on shelf
Title:Optimization with PDE Constraints [electronic resource]
Author(s): Michael Hinze
Rene Pinnau
Michael Ulbrich
Stefan Ulbrich
Date:2009
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
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Note:This book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions and a state-of-the-art, non-smooth algorithmical framework. Furthermore, newstructure-exploiting d iscrete concepts and large scale, practically relevant applications are presented. The main focus is on the algorithmical and numerical treatment of pde constrained optimization problems on the infinitedimensional level. A particular emphasis is on simple constraints, such as pointwise bounds on controls and states. For these practically important situations, tailored Newton- and SQP-type solution algorithms are proposed and ageneral convergence framework is developed. This is complemented with the numeri cal analysis of structure-preserving Galerkin schemes for optimization problems with elliptic and parabolic equations. Finally, along with the optimizationof semiconductor devices and the optimization of glass cooling processes, two challenging applicatio ns of pde constrained optimization are presented. They demonstrate the scope of this emerging research field for future engineeringapplications
Note:Springer eBooks
Contents:Acknowledgements
1 Analytical Background and Optimality Theory
2 Optimization Methods in Banach Spaces
3 Discrete concepts
4 Applications
References
ISBN:9781402088391
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematical Modelling: Theory and Applications, 1386-2960 : v23
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Mathematical optimization
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Call number:SPRINGER-2009-9780387980966:ONLINE Show nearby items on shelf
Title:Optimization [electronic resource] : Structure and Applications
Author(s): Charles Pearce
Emma Hunt
Date:2009
Edition:1
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optimization: Structure and Applications presents selected contributions from renowned researchers in the fields of operations research and industrial engineering. The text is divided into two parts: the first focuses onmathematical structure, and th e second, on real-world applications. The book includes recent developments in several optimization-related topics such as decision theory, linear programming, turnpike theory, duality theory, convexanalysis, and queueing theory. The applications presente d include, but are not limited to, data imaging, network capacity allocation, water system management, and materials design. The 21 self-contained chapters in this volume aredevoted to the examination of modern trends and open problems in the field of opt imization. This book will be a valuable tool not only to specialists interested in the technical detail and various applications presented, but also toresearchers interested in building upon the books theoretical results
Note:Springer eBooks
Contents:List of Figures
List of Tables
Preface
Editors
Part I Optimization: Structure
On the nondifferentiability of cone
monotone functions in Banach spaces
Duality and a Farkas lemma for integer programs
Some nonlinear Lagrange and penalty functions for problems with a single constraint
Convergence of truncates in l1 optimal feedback control
Asymptotical stability of optimal paths in nonconvex problems
Pontryagin principle with a PDE
a unified approach
A turnpike property for discrete
time control systems
Mond
Weir duality
Computing in the fundamental matrix
ISBN:9780387980966
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v32
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
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Call number:SPRINGER-2009-9780387894942:ONLINE Show nearby items on shelf
Title:Analysis and Design of Discrete Part Production Lines [electronic resource]
Author(s): Diomidis Spinellis
Michael J Vidalis
Michael E. J O'Kelly
Chrissoleon T Papadopoulos
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Analysis and Design of Discrete Part Production Lines provides a complete overview of production systems, investigating several production line problems, and describing the best approaches to the analysis of production lineperformance. Written by exp erts in the field of production and manufacturing research, this book also presents numerous techniques that can be used to describe and model various types of production lines. Special Features: * Includesaccess to a supplementary web-based software pack age, providing algorithms and examples, developed by distinguished experts of the field. * Describes new results for evaluative techniques and design algorithms as well as several openproblems in production line optimization. * Presents in detail the theo ry and techniques that underlie production system management, design, and analysis, allowing the book to serve as an excellent introduction to newcomers in thefield. * Has potential for use in a graduate level course in industrial or manufacturing enginee ring, or in a business course with a manufacturing focus. * Contains appendices providing an overview of several mathematical techniquesemployed to design and evaluate production line models. This book is intended for researchers, production managers, and graduate students in industrial, mechanical, and systems engineering. Using the resources presented, consultants,engineers, and researchers will be able to design, evaluate, determine the behavior, and optimize the performance of both new and existing pr oduction lines
Note:Springer eBooks
Contents:Manufacturing Systems: Types and Modeling
Evaluative Models of Discrete Part Production Lines
The Design of Production Lines
Work
Load and Server Allocation Problems
The Buffer Allocation Problem
Double and Triple Optimization
Cost Considerations
ISBN:9780387894942
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v31
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Engineering design , Industrial engineering
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Call number:SPRINGER-2009-9780387766171:ONLINE Show nearby items on shelf
Title:Stochastic Control in Discrete and Continuous Time [electronic resource]
Author(s): Atle Seierstad
Date:2009
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book provides a comprehensive introduction to stochastic control problems in discrete and continuous time. The material is presented logically, beginning with the discrete-time case before proceeding to the stochasticcontinuous-time models. Cent ral themes are dynamic programming in discrete time and HJB-equations in continuous time. Topics covered include stochastic maximum principles for discrete time and continuous time, even for problems withterminal conditions. Numerous illustrative examples and exercises, with solutions at the end of the book, are included to enhance the understanding of the reader. By interlinking many fields in stochastic control, the material givesthe student the opportunity to see the connections between different field s and the underlying ideas that unify them. This text will benefit students in applied mathematics, economics, engineering, and related fields. Prerequisitesinclude a course in calculus and elementary probability theory. No knowledge of measure theory is assumed
Note:Springer eBooks
Contents:Preface
Stochastic Control over Discrete Time
The HJB Equation for Deterministic Control
Piecewise Deterministic Optimal Control Problems
Control of Diffusions
Appendix: Probability, Concepts, and Results
Solutions
References
Index
ISBN:9780387766171
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Mathematical optimization , Distribution (Probability theory) , Economics, Mathematical
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Call number:SPRINGER-2009-9780387094144:ONLINE Show nearby items on shelf
Title:Linear and Integer Programming vs Linear Integration and Counting [electronic resource] : A Duality Viewpoint
Author(s): Jean-Bernard Lasserre
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:In this book the author analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, linear summation (or counting). The focus is on duality and the approach is rathernovel as it puts intege r programming in perspective with three associated problems, and permits one to define discrete analogues of well-known continuous duality concepts, and the rationale behind them. Also, the approach highlightsthe difference between the discrete and contin uous cases. Central in the analysis are the continuous and discrete Brion and Vergne's formulae for linear integration and counting. This approach provides some new insights on dualityconcepts for integer programs, and also permits to retrieve and shed ne w light on some well-known results. For instance, Gomory relaxations and the abstract superadditive dual of integer programs are re-interpreted in this algebraicapproach. This book will serve graduate students and researchers in applied mathematics, optim ization, operations research and computer science. Due to the substantial practical importance of some presented problems, researchers inother areas will also find this book useful
Note:Springer eBooks
Contents:Preface. Introduction
Part I. Linear Integration and Linear Programming. The Linear Integration Problem I. Comparing the Continuous Problems P and I
Part II. Linear Counting and Integer Programming
The Linear Counting Problem I(d). Relating the Discrete Problems P(d) and I(d) with P
Part III. Duality. Duality and Gomory Relaxations. Barvinoks Counting Algorithm and Gomory Relaxations. A Discrete Farkas Lemma. The Integer Hull of a Convex Rational Polytope. Duality and Superadditive Functions
Appendix: Legendre
Fenchel, Laplace, Cramer, and Z Transforms. References. Glossary
ISBN:9780387094144
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Operations Research and Financial Engineering, 1431-8598
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computational complexity , Discrete groups , Mathematical optimization , Operations research
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Call number:SPRINGER-2008-9783540740117:ONLINE Show nearby items on shelf
Title:Optimal Stopping Rules [electronic resource]
Author(s): Albert N Shiryaev
B Rozovskii
G Grimmett
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:Although three decades have passed since first publication of this book reprinted now as a result of popular demand, the content remains up-to-date and interesting for many researchers as is shown by the many references to it incurrent publications. The ground floor of Optimal Stopping Theory was constructed by A.Wald in his sequential analysis in connection with the testing of statistical hypotheses by non-traditional (sequential) methods. It was laterdiscovered that these methods have, in idea, a c lose connection to the general theory of stochastic optimization for random processes. The area of application of the Optimal Stopping Theory is very broad. It is sufficient at this pointto emphasise that its methods are well tailored to the study of Amer ican (-type) options (in mathematics of finance and financial engineering), where a buyer has the freedom to exercise an option at any stopping time. In this book, thegeneral theory of the construction of optimal stopping policies is developed for the cas e of Markov processes in discrete and continuous time. One chapter is devoted specially to the applications that address problems of the testing ofstatistical hypotheses, and quickest detection of the time of change of the probability characteristics of t he observable processes. The author, A.N.Shiryaev, is one of the leading experts of the field and gives an authoritativetreatment of a subject that, 30 years after original publication of this book, is proving increasingly important
Note:Springer eBooks
ISBN:9783540740117
Series:e-books
Series:SpringerLink (Online service)
Series:Stochastic Modelling and Applied Probability, 0172-4568 : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2008-9783540499596:ONLINE Show nearby items on shelf
Title:Implementing Models in Quantitative Finance: Methods and Cases [electronic resource]
Author(s): Gianluca Fusai
Andrea Roncoroni
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:This book puts numerical methods into action for the purpose of solving concrete problems arising in quantitative finance. Part one develops a comprehensive toolkit including Monte Carlo simulation, numerical schemes for partialdifferential equations , stochastic optimization in discrete time, copula functions, transform-based methods and quadrature techniques. The content originates from class notes written for courses on numerical methods for finance andexotic derivative pricing held by the authors at Bocconi University since the year 2000. Part two proposes eighteen self-contained cases covering model simulation, derivative valuation, dynamic hedging, portfolio selection, riskmanagement, statistical estimation and model calibration. It encompasses a wide variety of problems arising in markets for equity, interest rates, credit risk, energy and exotic derivatives. Each case introduces a problem, develops adetailed solution and illustrates empirical results. Proposed algorithms are implemented using either Matlab or Visual Basic for Applications in collaboration with contributors
Note:Springer eBooks
ISBN:9783540499596
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Finance
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Finance , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2008-9781848000032:ONLINE Show nearby items on shelf
Title:Stochastic Control in Insurance [electronic resource]
Author(s): Hanspeter Schmidli
Date:2008
Publisher:London : Springer London
Size:1 online resource
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Note:Stochastic control is one of the methods being used to find optimal decision-making strategies in fields such as operations research and mathematical finance. In recent years, stochastic control techniques have been applied tonon-life insurance probl ems, and in life insurance the theory has been further developed. This book provides a systematic treatment of optimal control methods applied to problems from insurance and investment, complete with detailedproofs. The theory is discussed and illustrated by way of examples, using concrete simple optimisation problems that occur in the actuarial sciences. The problems come from non-life insurance as well as life and pension insurance andalso cover the famous Merton problem from mathematical finance. Where ver possible, the proofs are probabilistic but in some cases well-established analytical methods are used. The book is directed towards graduate students andresearchers in actuarial science and mathematical finance who want to learn stochastic control wit hin an insurance setting, but it will also appeal to applied probabilists interested in the insurance applications and to practitionerswho want to learn more about how the method works. Readers should be familiar with basic probability theory and have a w orking knowledge of Brownian motion, Markov processes, martingales and stochastic calculus. Some knowledge ofmeasure theory will also be useful for following the proofs
Note:Springer eBooks
Contents:Stochastic Control in Discrete Time
Stochastic Control in Continuous Time
Problems in Life Insurance
Asymptotics of Controlled Risk Processes
Appendices
Stochastic Processes and Martingales
Markov Processes and Generators
Change of Measure Techniques
Risk Theory
The Black
Scholes Model
Life Insurance
References
Index
List of Principal Notation
ISBN:9781848000032
Series:e-books
Series:SpringerLink (Online service)
Series:Probability and Its Applications, 1431-7028
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Distribution (Probability theory) , Banks and banking
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Call number:SPRINGER-2008-9780817647957:ONLINE Show nearby items on shelf
Title:Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics [electronic resource] : A Tribute to Michael K. Sain
Author(s): Chang-Hee Won
Cheryl B Schrader
Anthony N Michel
Date:2008
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volumededicated to Michael K. Sain on the occasion of his seventieth birthdayis a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Written by experts intheir respective fields, th e chapters are thematically organized into four parts: * Part I focuses on statistical control theory, where the cost function is viewed as a random variable and performance is shaped through cost cumulants.In this respect, statistical control generalizes linear-quadratic-Gaussian and H-infinity control. * Part II addresses algebraic systems theory, reviewing the use of algebraic systems over semirings, modules of zeros for linearmultivariable systems, and zeros in linear time-delay systems. * Part III di scusses advances in dynamical systems characteristics. The chapters focus on the stability of a discontinuous dynamical system, approximate decentralized fixedmodes, direct optimal adaptive control, and stability of nonlinear systems with limited informat ion. * Part IV covers engineering education and includes a unique chapter on theology and engineering, one of Sain's latest researchinterests. The book will be a useful reference for researchers and graduate students in systems and control, algebraic syst ems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory,the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory
Note:Springer eBooks
Contents:Preface
Part I. Statistical Control
Survey of Statistical Control
Infinite Horizon Minimal Cost Variance Control
Discrete Time Statistical Control
Multi
objective Statistical Control
Cost Cumulant Games
Part II. Algebraic System Theory
Modules of Zeroes in Linear Multivariate Systems
Zeros in Linear Time
Delay Systems
Semimodule Morphic Systems
Part III. Dynamic System Characteristics
Discontinuous Dynamical Systems
Decentralized Control
Direct Optimal Adaptive Control
Nonlinear Dynamic Systems with Limited Information
Part IV. Engineering Applic
ISBN:9780817647957
Series:e-books
Series:SpringerLink (Online service)
Series:Systems & Control: Foundations & Applications
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Systems theory , Mathematical optimization
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Call number:SPRINGER-2008-9780817647575:ONLINE Show nearby items on shelf
Title:H-Optimal Control and Related Minimax Design Problems [electronic resource] : A Dynamic Game Approach
Author(s): Tamer Baar
Pierre Bernhard
Date:2008
Edition:Second Edition
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
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Note:I believe that the authors have written a first-class book which can be used for a second or third year graduate level course in the subject... Researchers working in the area will certainly use the book as a standardreference... Given how well the b ook is written and organized, it is sure to become one of the major texts in the subject in the years to come, and it is highly recommended to both researchers working in the field, and those who wantto learn about the subject. SIAM Review (Review of the First Edition) This book is devoted to one of the fastest developing fields in modern control theory---the so-called 'H-infinity optimal control theory'... In the authors'opinion 'the theory is now at a stage where it can easily be incorporated into a sec ond-level graduate course in a control curriculum'. It seems that this book justifies this claim. Mathematical Reviews (Review of the FirstEdition) This work is a perfect and extensive research reference covering the state-space techniques for solving lin ear as well as nonlinear H-infinity control problems. IEEE Transactions on Automatic Control (Review of theSecond Edition) The book, based mostly on recent work of the authors, is written on a good mathematical level. Many results in it are original, inte resting, and inspirational...The book can be recommended to specialists and graduatestudents working in the development of control theory or using modern methods for controller design. Mathematica Bohemica (Review of the Second Edition) This book is a sec ond edition of this very well-known text on H-infinitytheory...This topic is central to modern control and hence this definitive book is highly recommended to anyone who wishes to catch up with this important theoretical development in applied mathematics and control. Short BookReviews (Review of the Second Edition) The book can be recommended to mathematicians specializing in control theory and dynamic (differential) games. It
Note:Springer eBooks
Contents:A General Introduction to Minimax (H?
Optimal) Designs
Basic Elements of Static and Dynamic Games
The Discrete
Time Minimax Design Problem with Perfect
State Measurements
Continuous
Time Systems with Perfect
State Measurements
The Continuous
Time Problem with Imperfect
State Measurements
The Discrete
Time Problem with Imperfect
State Measurements
Minimax Estimators and Performance Levels
Robustness to Regular and Singular Perturbations
Appendix A: Conjugate Points and Existence of Value
Appendix B: Danskins Theorem
ISBN:9780817647575
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics, 2197-1803
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Mathematical optimization
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Call number:SPRINGER-2008-9780817646264:ONLINE Show nearby items on shelf
Title:Advances in Mathematical and Statistical Modeling [electronic resource]
Author(s): Roberto Minguez
Jose-Maria Sarabia
N Balakrishnan
Barry C Arnold
Date:2008
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Enrique Castillo is a leading figure in several mathematical, statistical, and engineering fields, having contributed seminal work in such areas as statistical modeling, extreme value analysis, multivariate distribution theory,Bayesian networks, neur al networks, functional equations, artificial intelligence, linear algebra, optimization methods, numerical methods, reliability engineering, as well as sensitivity analysis and its applications. Organized tohonor Castillo's significant contributions, thi s volume is an outgrowth of the International Conference on Mathematical and Statistical Modeling and covers recent advances in the field. Also presented are applications to safety,reliability and life-testing, financial modeling, quality control, general inference, as well as neural networks and computational techniques. The book is divided into nine major sections: * Distribution Theory and Applications *Probability and Statistics * Order Statistics and Analysis * Engineering Modeling * Extreme Value Th eory * Business and Economics Applications * Statistical Methods * Applied Mathematics * Discrete Distributions This comprehensivereference work will appeal to a diverse audience from the statistical, applied mathematics, engineering, and economics commun ities. Practitioners, researchers, and graduate students in mathematical and statistical modeling,optimization, and computing will benefit from this work
Note:Springer eBooks
Contents:Distribution Theory and Applications
Enrique Castillos Contributions to Conditional Specification
The Polygonal Distribution
Conditionally Specified Models: New Developments and Applications
Modelling of Insurance Claim Count with Hurdle Distribution for Panel Data
Distance Based Association and Multi
Sample Tests for General Multivariate Data
Probability and Statistics
Empirical Bayes Assessment of the Hyperparameters in Bayesian
Order Statistics and Analysis
Negative Mixtures Order Statistics and Systems
Models of Ordered Data and Products of Beta Random Vari
ISBN:9780817646264
Series:e-books
Series:SpringerLink (Online service)
Series:Statistics for Industry and Technology
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Computer science , Mathematical optimization , Mathematical statistics , Economics Statistics
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Call number:SPRINGER-2008-9780387766355:ONLINE Show nearby items on shelf
Title:Introduction to Applied Optimization [electronic resource]
Author(s): Urmila Diwekar
Date:2008
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This text presents a multi-disciplined view of optimization, providing students and researchers with a thorough examination of algorithms, methods, and tools from diverse areas of optimization without introducing excessivetheoretical detail. This sec ond edition includes additional topics, including global optimization and a real-world case study using important concepts from each chapter. Key Features: Provides well-written self-contained chapters,including problem sets and exercises, making it ideal for the classroom setting Introduces applied optimization to the hazardous waste blending problem Explores linear programming, nonlinear programming, discrete optimization, globaloptimization, optimization under uncertainty, multi-objective optimization, optimal control and stochastic optimal control Includes an extensive bibliography at the end of each chapter and an index GAMS files of case studies forChapters 2, 3, 4, 5, and 7 are linked to http://www.springer.com/math/book/978-0-387-76634-8 Solutions manual available upon adoptions. Introduction to Applied Optimization is intended for advanced undergraduate and graduate studentsand will benefit scientists from diverse areas, including engineers
Note:Springer eBooks
Contents:Linear Programming
Nonlinear Programming
Discrete Optimization
Optimization Under Uncertainty
Multiobjective Optimization
Optimal Control and Dynamic Optimization
ISBN:9780387766355
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v22
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemical engineering , Systems theory , Mathematical optimization , Engineering mathematics , Economics
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Call number:SPRINGER-2008-9780387758169:ONLINE Show nearby items on shelf
Title:Stochastic Control of Hereditary Systems and Applications [electronic resource]
Author(s): Mou-Hsiung Chang
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This research monograph develops the Hamilton-Jacobi-Bellman (HJB) theory through dynamic programming principle for a class of optimal control problems for stochastic hereditary differential systems. It is driven by a standardBrownian motion and with a bounded memory or an infinite but fading memory. The optimal control problems treated in this book include optimal classical control and optimal stopping with a bounded memory and over finite time horizon.This book can be used as an introduction for re searchers and graduate students who have a special interest in learning and entering the research areas in stochastic control theory with memories. Each chapter contains a summary.Mou-Hsiung Chang is a program manager at the Division of Mathematical Scien ces for the U.S. Army Research Office
Note:Springer eBooks
Contents:Preface
Introduction and Summary
Chapter 1. Stochastic Hereditary Differential Equations
Chapter 2. Stochastic Calculus
Chapter 3. Optimal Classical Control
Chapter 4. Optimal Stopping
Chapter 5. Discrete Approximations
Chapter 6. Option Pricing
Chapter 7. Hereditary Portfolio Optimization
References
List of Symbols
Index
ISBN:9780387758169
Series:e-books
Series:SpringerLink (Online service)
Series:Stochastic Modelling and Applied Probability, 0172-4568 : v59
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Distribution (Probability theory) , Mathematical statistics
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Call number:SPRINGER-2008-9780387732992:ONLINE Show nearby items on shelf
Title:Optimization in Medicine [electronic resource]
Author(s): Carlos J. S Alves
Panos M Pardalos
Luis Nunes Vicente
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optimization has become an essential tool in addressing the limitation of resources and need for better decision-making in the medical field. Both continuous and discrete mathematical techniques are playing an increasinglyimportant role in understand ing several fundamental problems in medicine. This volume presents a wide range of medical applications that can utilize mathematical computing. Examples include using an algorithm for considering the seedreconstruction problem in brachytherapy and using optimization-classification models to assist in the early prediction, diagnosis and detection of diseases. Discrete optimization techniques and measures derived from the theory ofnonlinear dynamics, with analysis of multi-electrode electroencephalographic (EEG) data, assist in predicting impending epileptic seizures. Mathematics in medicine can also be found in recent cancer research. Sophisticated mathematicalmodels and optimization algorithms have been used to generate treatment plans for radionuclide i mplant and external beam radiation therapy. Optimization techniques have also been used to automate the planning process in Gamma Knifetreatment, as well as to address a variety of medical image registration problems. This work grew out of a workshop on o ptimization which was held during the 2005 CIM Thematic Term on Optimization in Coimbra, Portugal. It provides anoverview of the state-of-the-art in optimization in medicine and will serve as an excellent reference for researchers in the medical computing community and for those working in applied mathematics and optimization
Note:Springer eBooks
Contents:The influence of dose grid resolution on beam selection strategies in radiotherapy treatment design
Decomposition of matrices and static multileaf collimators: a survey
Neuro
dynamic programming for fractionated radiotherapy planning
Randomized algorithms for mixed matching and covering in hypergraphs in 3D seed reconstruction in brachytherapy
Global optimization and spatial synchronization changes prior to epileptic seizures
Optimization
based predictive models in medicine and biology
Optimal reconstruction kernels in medical imaging
Optimal control in high intensity focu
ISBN:9780387732992
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v12
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Radiology, Medical , Mathematical optimization
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Call number:SPRINGER-2008-9780387369518:ONLINE Show nearby items on shelf
Title:Markov Decision Processes With Their Applications [electronic resource]
Author(s): Qiying Hu
Wuyi Yue
Date:2008
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve dynamic decision-making problems that are multi-period and occur in stochasticcircumstances. There are three basic branches in MDPs: discrete-time MDPs, continuous-time MDPs and semi-Markov decision processes. Starting from these three branches, many generalized MDPs models have been applied to various practicalproblems. These models include partially obse rvable MDPs, adaptive MDPs, MDPs in stochastic environments, and MDPs with multiple objectives, constraints or imprecise parameters. Markov Decision Processes With Their Applicationsexamines MDPs and their applications in the optimal control of discrete e vent systems (DESs), optimal replacement, and optimal allocations in sequential online auctions. The book presents four main topics that are used to study optimalcontrol problems: *a new methodology for MDPs with discounted total reward criterion *transfo rmation of continuous-time MDPs and semi-Markov decision processes into a discrete-time MDPs model, thereby simplifying the application ofMDPs *MDPs in stochastic environments, which greatly extends the area where MDPs can be applied *applications of MDPs in optimal control of discrete event systems, optimal replacement, and optimal allocation in sequential onlineauctions. This book is intended for researchers, mathematicians, advanced graduate students, and engineers who are interested in optimal control , operation research, communications, manufacturing, economics, and electronic commerce
Note:Springer eBooks
Contents:Discretetimemarkovdecisionprocesses: Total Reward
Discretetimemarkovdecisionprocesses: Average Criterion
Continuous Time Markov Decision Processes
Semi
Markov Decision Processes
Markovdecisionprocessesinsemi
Markov Environments
Optimal control of discrete event systems: I
Optimal control of discrete event systems: II
Optimal replacement under stochastic Environments
Optimalal location in sequential online Auctions
ISBN:9780387369518
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics : v14
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Operations research , Distribution (Probability theory) , Industrial engineering
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Call number:SPRINGER-2007-9783540735106:ONLINE Show nearby items on shelf
Title:Laplacian Eigenvectors of Graphs [electronic resource] : Perron-Frobenius and Faber-Krahn Type Theorems
Author(s): Trker Biyikou
Josef Leydold
Peter F Stadler
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There arefascinating subtle differences between the properties of solutions of Schrdinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) Geometric properties of (cost) functions defined on the vertexsets of graphs are of practical interest for heuristic optim ization algorithms. The observation that the cost functions of quite a few of the well-studied combinatorial optimization problems are eigenvectors of associated graphLaplacians has prompted the investigation of such eigenvectors. The volume investigates the structure of eigenvectors and looks at the number of their sign graphs (nodal domains), Perron components, graphs with extremal propertieswith respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology
Note:Springer eBooks
Contents:Graph Laplacians
Eigenfunctions and Nodal Domains
Nodal Domain Theorems for Special Graph Classes
Computational Experiments
Faber
Krahn Type Inequalities
ISBN:9783540735106
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1915
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Combinatorics
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