Dynamic Programming


Author: Richard Bellman
Publisher: Courier Corporation
ISBN: 0486317196
Category: Mathematics
Page: 366
View: 4938
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Introduction to mathematical theory of multistage decision processes takes a "functional equation" approach. Topics include existence and uniqueness theorems, optimal inventory equation, bottleneck problems, multistage games, Markovian decision processes, and more. 1957 edition.

Dynamic Programming

A Computational Tool
Author: Art Lew,Holger Mauch
Publisher: Springer Science & Business Media
ISBN: 3540370137
Category: Computers
Page: 379
View: 6461
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This book provides a practical introduction to computationally solving discrete optimization problems using dynamic programming. From the examples presented, readers should more easily be able to formulate dynamic programming solutions to their own problems of interest. We also provide and describe the design, implementation, and use of a software tool that has been used to numerically solve all of the problems presented earlier in the book.

Dynamic Programming

Foundations and Principles, Second Edition
Author: Moshe Sniedovich
Publisher: CRC Press
ISBN: 9781420014631
Category: Business & Economics
Page: 624
View: 1959
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Incorporating a number of the author’s recent ideas and examples, Dynamic Programming: Foundations and Principles, Second Edition presents a comprehensive and rigorous treatment of dynamic programming. The author emphasizes the crucial role that modeling plays in understanding this area. He also shows how Dijkstra’s algorithm is an excellent example of a dynamic programming algorithm, despite the impression given by the computer science literature. New to the Second Edition Expanded discussions of sequential decision models and the role of the state variable in modeling A new chapter on forward dynamic programming models A new chapter on the Push method that gives a dynamic programming perspective on Dijkstra’s algorithm for the shortest path problem A new appendix on the Corridor method Taking into account recent developments in dynamic programming, this edition continues to provide a systematic, formal outline of Bellman’s approach to dynamic programming. It looks at dynamic programming as a problem-solving methodology, identifying its constituent components and explaining its theoretical basis for tackling problems.

Iterative Dynamic Programming


Author: Rein Luus
Publisher: CRC Press
ISBN: 9781420036022
Category: Mathematics
Page: 344
View: 2211
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Dynamic programming is a powerful method for solving optimization problems, but has a number of drawbacks that limit its use to solving problems of very low dimension. To overcome these limitations, author Rein Luus suggested using it in an iterative fashion. Although this method required vast computer resources, modifications to his original scheme have made the computational procedure feasible. With iteration, dynamic programming becomes an effective optimization procedure for very high-dimensional optimal control problems and has demonstrated applicability to singular control problems. Recently, iterative dynamic programming (IDP) has been refined to handle inequality state constraints and noncontinuous functions. Iterative Dynamic Programming offers a comprehensive presentation of this powerful tool. It brings together the results of work carried out by the author and others - previously available only in scattered journal articles - along with the insight that led to its development. The author provides the necessary background, examines the effects of the parameters involved, and clearly illustrates IDP's advantages.

Dynamic Programming

Models and Applications
Author: Eric V. Denardo
Publisher: Courier Corporation
ISBN: 0486150852
Category: Technology & Engineering
Page: 240
View: 1075
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Introduction to sequential decision processes covers use of dynamic programming in studying models of resource allocation, methods for approximating solutions of control problems in continuous time, production control, more. 1982 edition.

Differential Dynamic Programming


Author: David H. Jacobson,David Q. Mayne
Publisher: Elsevier Publishing Company
ISBN: N.A
Category: Control theory
Page: 208
View: 584
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Pyramid Algorithms

A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling
Author: Ron Goldman
Publisher: Elsevier
ISBN: 9780080515472
Category: Computers
Page: 576
View: 1314
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Pyramid Algorithms presents a unique approach to understanding, analyzing, and computing the most common polynomial and spline curve and surface schemes used in computer-aided geometric design, employing a dynamic programming method based on recursive pyramids. The recursive pyramid approach offers the distinct advantage of revealing the entire structure of algorithms, as well as relationships between them, at a glance. This book-the only one built around this approach-is certain to change the way you think about CAGD and the way you perform it, and all it requires is a basic background in calculus and linear algebra, and simple programming skills. * Written by one of the world's most eminent CAGD researchers * Designed for use as both a professional reference and a textbook, and addressed to computer scientists, engineers, mathematicians, theoreticians, and students alike * Includes chapters on Bezier curves and surfaces, B-splines, blossoming, and multi-sided Bezier patches * Relies on an easily understood notation, and concludes each section with both practical and theoretical exercises that enhance and elaborate upon the discussion in the text * Foreword by Professor Helmut Pottmann, Vienna University of Technology

Handbook of Learning and Approximate Dynamic Programming


Author: Jennie Si,Andrew G. Barto,Warren B. Powell,Don Wunsch
Publisher: John Wiley & Sons
ISBN: 9780471660545
Category: Technology & Engineering
Page: 672
View: 2511
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A complete resource to Approximate Dynamic Programming (ADP), including on-line simulation code Provides a tutorial that readers can use to start implementing the learning algorithms provided in the book Includes ideas, directions, and recent results on current research issues and addresses applications where ADP has been successfully implemented The contributors are leading researchers in the field

Nonserial Dynamic Programming


Author: Bertele?
Publisher: Academic Press
ISBN: 0080956009
Category: Computers
Page: 234
View: 6116
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Nonserial Dynamic Programming

Approximate Dynamic Programming

Solving the Curses of Dimensionality
Author: Warren B. Powell
Publisher: John Wiley & Sons
ISBN: 9780470182956
Category: Mathematics
Page: 480
View: 3111
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Applied Dynamic Programming


Author: Richard E. Bellman,Stuart E Dreyfus
Publisher: Princeton University Press
ISBN: 1400874653
Category: Computers
Page: 390
View: 3293
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This comprehensive study of dynamic programming applied to numerical solution of optimization problems. It will interest aerodynamic, control, and industrial engineers, numerical analysts, and computer specialists, applied mathematicians, economists, and operations and systems analysts. Originally published in 1962. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Dynamic Programming

Sequential Scientific Management
Author: A. Kaufmann,R. Cruon
Publisher: Academic Press
ISBN: 0080955444
Category: Computers
Page: 277
View: 9207
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This work discusses the value of dynamic programming as a method of optimization for the sequential phenomena encountered in economic studies or in advanced technological programs such as those associated with space flights. The dynamic programs which are considered are defined for a deterministic universe, or one with probabilities; both categories are of equal importance in the practice of operations research or of scientific management.

Optimal Decisions

Dynamic Programming, Loss Functions, Knapsack Problem, Subset Sum Problem, Earley Parser, Optimal Design, Longest Common Subsequenc
Author: Source Wikipedia
Publisher: University-Press.org
ISBN: 9781230596020
Category:
Page: 76
View: 2867
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 74. Chapters: Dynamic programming, Loss functions, Knapsack problem, Subset sum problem, Earley parser, Optimal design, Longest common subsequence problem, Expected utility hypothesis, Forward-backward algorithm, Secretary problem, Viterbi algorithm, Bellman equation, Floyd-Warshall algorithm, Smith-Waterman algorithm, Levenshtein distance, Mean squared error, Markov decision process, Matrix chain multiplication, Longest increasing subsequence, Approximate string matching, Word wrap, Response surface methodology, Backward induction, Partially observable Markov decision process, Needleman-Wunsch algorithm, Stopping time, Curse of dimensionality, Regret, Bayesian experimental design, Longest common substring problem, Odds algorithm, Hamilton-Jacobi-Bellman equation, Hirschberg's algorithm, Optimal stopping, Optimal substructure, Cost-utility analysis, Sum of absolute differences, Maximum subarray problem, Optimal decision, Huber loss function, Utility maximization problem, Viscosity solution, Mean squared prediction error, Expenditure minimization problem, Taguchi loss function, Sum of absolute transformed differences, Generalized expected utility, Bitonic tour, Shortest common supersequence, Disorder problem, Hunt-McIlroy algorithm, Overlapping subproblem, Weak axiom of cost minimization, 0-1 loss function.

Dynamic Programming and the Calculus of Variations


Author: Dreyfus
Publisher: Academic Press
ISBN: 0080955274
Category: Computers
Page: 247
View: 6347
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Dynamic Programming and the Calculus of Variations

Dynamic Programming for Coding Interviews

A Bottom-Up approach to problem solving
Author: Meenakshi,Kamal Rawat
Publisher: Notion Press
ISBN: 194655670X
Category: Computers
Page: 142
View: 2325
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I wanted to compute 80th term of the Fibonacci series. I wrote the rampant recursive function, int fib(int n){ return (1==n || 2==n) ? 1 : fib(n-1) + fib(n-2); } and waited for the result. I wait… and wait… and wait… With an 8GB RAM and an Intel i5 CPU, why is it taking so long? I terminated the process and tried computing the 40th term. It took about a second. I put a check and was shocked to find that the above recursive function was called 204,668,309 times while computing the 40th term. More than 200 million times? Is it reporting function calls or scam of some government? The Dynamic Programming solution computes 100th Fibonacci term in less than fraction of a second, with a single function call, taking linear time and constant extra memory. A recursive solution, usually, neither pass all test cases in a coding competition, nor does it impress the interviewer in an interview of company like Google, Microsoft, etc. The most difficult questions asked in competitions and interviews, are from dynamic programming. This book takes Dynamic Programming head-on. It first explain the concepts with simple examples and then deep dives into complex DP problems.

Dynamic Programming

Applications to Agriculture and Natural Resources
Author: John O.S. Kennedy
Publisher: Springer Science & Business Media
ISBN: 9400941919
Category: Juvenile Nonfiction
Page: 344
View: 5920
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Humans interact with and are part of the mysterious processes of nature. Inevitably they have to discover how to manage the environment for their long-term survival and benefit. To do this successfully means learning something about the dynamics of natural processes, and then using the knowledge to work with the forces of nature for some desired outcome. These are intriguing and challenging tasks. This book describes a technique which has much to offer in attempting to achieve the latter task. A knowledge of dynamic programming is useful for anyone interested in the optimal management of agricultural and natural resources for two reasons. First, resource management problems are often problems of dynamic optimization. The dynamic programming approach offers insights into the economics of dynamic optimization which can be explained much more simply than can other approaches. Conditions for the optimal management of a resource can be derived using the logic of dynamic programming, taking as a starting point the usual economic definition of the value of a resource which is optimally managed through time. This is set out in Chapter I for a general resource problem with the minimum of mathematics. The results are related to the discrete maximum principle of control theory. In subsequent chapters dynamic programming arguments are used to derive optimality conditions for particular resources.

Dynamic Programming in Economics


Author: Cuong Van,Rose-Anne Dana
Publisher: Springer Science & Business Media
ISBN: 9781402074097
Category: Business & Economics
Page: 201
View: 8263
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Dynamic Programming in Economics is an outgrowth of a course intended for students in the first year PhD program and for researchers in Macroeconomics Dynamics. It can be used by students and researchers in Mathematics as well as in Economics. The purpose of Dynamic Programming in Economics is twofold: (a) to provide a rigorous, but not too complicated, treatment of optimal growth models in infinite discrete time horizon, (b) to train the reader to the use of optimal growth models and hence to help him to go further in his research. We are convinced that there is a place for a book which stays somewhere between the "minimum tool kit" and specialized monographs leading to the frontiers of research on optimal growth.

Dynamic programming

a practical introduction
Author: David K. Smith
Publisher: Prentice Hall
ISBN: N.A
Category: Computers
Page: 160
View: 3411
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Introduction to Dynamic Programming

International Series in Modern Applied Mathematics and Computer Science
Author: Leon Cooper,Mary W. Cooper
Publisher: Elsevier
ISBN: 1483136620
Category: Mathematics
Page: 300
View: 946
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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.