Introduction To Dynamic Programming
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Introduction To Dynamic Programming
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Author : Leon Cooper
language : en
Publisher: Elsevier
Release Date : 2016-06-06
Introduction To Dynamic Programming written by Leon Cooper and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
Introduction to Dynamic Programming introduces the reader to dynamic programming and presents the underlying mathematical ideas and results, as well as the application of these ideas to various problem areas. A large number of solved practical problems and computational examples are included to clarify the way dynamic programming is used to solve problems. A consistent notation is applied throughout the text for the expression of quantities such as state variables and decision variables. This monograph consists of 10 chapters and opens with an overview of dynamic programming as a particular approach to optimization, along with the basic components of any mathematical optimization model. The following chapters discuss the application of dynamic programming to variational problems; functional equations and the principle of optimality; reduction of state dimensionality and approximations; and stochastic processes and the calculus of variations. The final chapter looks at several actual applications of dynamic programming to practical problems, such as animal feedlot optimization and optimal scheduling of excess cash investment. This book should be suitable for self-study or for use as a text in a one-semester course on dynamic programming at the senior or first-year, graduate level for students of mathematics, statistics, operations research, economics, business, industrial engineering, or other engineering fields.
Introduction To Dynamic Programming
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Author : George L. Nemhauser
language : en
Publisher:
Release Date : 1966
Introduction To Dynamic Programming written by George L. Nemhauser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematics categories.
Basic theory; Basic computations; Computational refinements; Risk, uncertainty, and competition; Nonserial systems; Infinite-stage systems.
Introduction To Dynamic Programming
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Author : Jacobs
language : en
Publisher:
Release Date : 1973-01-01
Introduction To Dynamic Programming written by Jacobs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with categories.
Introduction To Stochastic Dynamic Programming
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Author : Sheldon M. Ross
language : en
Publisher: Academic Press
Release Date : 2014-07-10
Introduction To Stochastic Dynamic Programming written by Sheldon M. Ross and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
Introduction to Stochastic Dynamic Programming presents the basic theory and examines the scope of applications of stochastic dynamic programming. The book begins with a chapter on various finite-stage models, illustrating the wide range of applications of stochastic dynamic programming. Subsequent chapters study infinite-stage models: discounting future returns, minimizing nonnegative costs, maximizing nonnegative returns, and maximizing the long-run average return. Each of these chapters first considers whether an optimal policy need exist—providing counterexamples where appropriate—and then presents methods for obtaining such policies when they do. In addition, general areas of application are presented. The final two chapters are concerned with more specialized models. These include stochastic scheduling models and a type of process known as a multiproject bandit. The mathematical prerequisites for this text are relatively few. No prior knowledge of dynamic programming is assumed and only a moderate familiarity with probability— including the use of conditional expectation—is necessary.
Dynamic Programming
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Author : David K. Smith
language : en
Publisher: Prentice Hall
Release Date : 1991
Dynamic Programming written by David K. Smith and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Dynamic programming categories.
An Introduction To Dynamic Programming
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Author : O. L. R. Jacobs
language : en
Publisher:
Release Date : 1967
An Introduction To Dynamic Programming written by O. L. R. Jacobs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Dynamic programming categories.
Nonlinear And Dynamic Programming
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Author : S. Dano
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear And Dynamic Programming written by S. Dano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
This book is intended to provide an introductory text of Nonlinear and Dynamic Programming for students of managerial economics and operations research. The author also hopes that engineers, business executives, managers, and others responsible for planning of industrial operations may find it useful as a guide to the problems and methods treated, with a view to practical applications. The book may be considered as a sequel to the author's Linear Programming in Industry (1960, 4th revised and enlarged edition 1974), but it can be used independently by readers familiar with the elements of linear programming models and techniques. The two volumes con stitute an introduction to the methods of mathematical programming and their application to industrial optimization problems. The author feels that the vast and ever-increasing literature on mathematical programming has not rendered an introductory exposition super fluous. The general student often tends to feel somewhat lost if he goes straight to the special literature; he will be better equipped for tackling real problems and using computer systems if he has acquired some previous training in constructing small-scale programming models and applying standard algorithms for solving them by hand. The book is intended to provide this kind of training, keeping the mathematics at the necessary minimum. The text contains numerous exercises. The reader should work out these problems for himself and check with the answers given at the end of the book. The text is based on lectures given at the University of Copenhagen.
Dynamic Programming
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Author : David Kendall Smith
language : en
Publisher: Ellis Horwood
Release Date : 1991
Dynamic Programming written by David Kendall Smith and has been published by Ellis Horwood this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
An Elementary Introduction To Dynamic Programming
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Author : Brian Gluss
language : en
Publisher:
Release Date : 1972
An Elementary Introduction To Dynamic Programming written by Brian Gluss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Dynamic programming categories.
"When the Japanese landed at Rabaul on Friday 23 January 1942 it was the start of one of the fiercest campaigns of the war. On that day, with only a handful of badly trained troops led by inexperienced officers, with a civil administration torn with incompetence and jealousies, Australia faced its most serious threat yet. For Australia itself was one of the most important targets"--Jacket.
Approximate Dynamic Programming
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Author : Warren B. Powell
language : en
Publisher: John Wiley & Sons
Release Date : 2007-10-05
Approximate Dynamic Programming written by Warren B. Powell and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-05 with Mathematics categories.
A complete and accessible introduction to the real-world applications of approximate dynamic programming With the growing levels of sophistication in modern-day operations, it is vital for practitioners to understand how to approach, model, and solve complex industrial problems. Approximate Dynamic Programming is a result of the author's decades of experience working in large industrial settings to develop practical and high-quality solutions to problems that involve making decisions in the presence of uncertainty. This groundbreaking book uniquely integrates four distinct disciplines—Markov design processes, mathematical programming, simulation, and statistics—to demonstrate how to successfully model and solve a wide range of real-life problems using the techniques of approximate dynamic programming (ADP). The reader is introduced to the three curses of dimensionality that impact complex problems and is also shown how the post-decision state variable allows for the use of classical algorithmic strategies from operations research to treat complex stochastic optimization problems. Designed as an introduction and assuming no prior training in dynamic programming of any form, Approximate Dynamic Programming contains dozens of algorithms that are intended to serve as a starting point in the design of practical solutions for real problems. The book provides detailed coverage of implementation challenges including: modeling complex sequential decision processes under uncertainty, identifying robust policies, designing and estimating value function approximations, choosing effective stepsize rules, and resolving convergence issues. With a focus on modeling and algorithms in conjunction with the language of mainstream operations research, artificial intelligence, and control theory, Approximate Dynamic Programming: Models complex, high-dimensional problems in a natural and practical way, which draws on years of industrial projects Introduces and emphasizes the power of estimating a value function around the post-decision state, allowing solution algorithms to be broken down into three fundamental steps: classical simulation, classical optimization, and classical statistics Presents a thorough discussion of recursive estimation, including fundamental theory and a number of issues that arise in the development of practical algorithms Offers a variety of methods for approximating dynamic programs that have appeared in previous literature, but that have never been presented in the coherent format of a book Motivated by examples from modern-day operations research, Approximate Dynamic Programming is an accessible introduction to dynamic modeling and is also a valuable guide for the development of high-quality solutions to problems that exist in operations research and engineering. The clear and precise presentation of the material makes this an appropriate text for advanced undergraduate and beginning graduate courses, while also serving as a reference for researchers and practitioners. A companion Web site is available for readers, which includes additional exercises, solutions to exercises, and data sets to reinforce the book's main concepts.