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Nonserial Dynamic Programming


Nonserial Dynamic Programming
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Nonserial Dynamic Programming


Nonserial Dynamic Programming
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Author : Bertele?
language : en
Publisher: Academic Press
Release Date : 1972-11-07

Nonserial Dynamic Programming written by Bertele? and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-11-07 with Computers categories.


Nonserial Dynamic Programming



Nonserial Dynamic Programming


Nonserial Dynamic Programming
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Author : Umberto Bertelè
language : en
Publisher:
Release Date : 1972

Nonserial Dynamic Programming written by Umberto Bertelè and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.




Heuristic Nonserial Dynamic Programming For Large Problems


Heuristic Nonserial Dynamic Programming For Large Problems
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Author : Michael A. Rosenman
language : en
Publisher:
Release Date : 1980

Heuristic Nonserial Dynamic Programming For Large Problems written by Michael A. Rosenman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Dynamic programming categories.


Dynamic programming is an extremely powerful optimization approach used for the solution of problems which can be formulated to exhibit a serial stage-state structure. However, many design problems are not serial but have highly connected interdependent structures. Existing methods for the solution of nonserial problems require the problem to possess a certain structure or limit the size of the problem due to storage and computational time requirements. The aim of this paper is to show that nonserial problems can be solved by the use of dynamic programming incorporating algorithms based on heuristics. Two such algorithms are developed using artificial intelligence concepts of estimating the likelihood of future results on present decisions. The algorithms are explained in detail. A small problem is solved and the results of testing them on large scale problems are given. The method is then used to solve a problem drawn from the literature.



Introduction To Dynamic Programming


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.



Dynamic Programming


Dynamic Programming
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Author : Moshe Sniedovich
language : en
Publisher: CRC Press
Release Date : 2010-09-10

Dynamic Programming written by Moshe Sniedovich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-10 with Business & Economics categories.


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.



Dynamic Programming And Its Applications


Dynamic Programming And Its Applications
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Author : Martin L. Puterman
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Dynamic Programming And Its Applications written by Martin L. Puterman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Dynamic Programming and Its Applications provides information pertinent to the theory and application of dynamic programming. This book presents the development and future directions for dynamic programming. Organized into four parts encompassing 23 chapters, this book begins with an overview of recurrence conditions for countable state Markov decision problems, which ensure that the optimal average reward exists and satisfies the functional equation of dynamic programming. This text then provides an extensive analysis of the theory of successive approximation for Markov decision problems. Other chapters consider the computational methods for deterministic, finite horizon problems, and present a unified and insightful presentation of several foundational questions. This book discusses as well the relationship between policy iteration and Newton's method. The final chapter deals with the main factors severely limiting the application of dynamic programming in practice. This book is a valuable resource for growth theorists, economists, biologists, mathematicians, and applied management scientists.



Mathematical Aspects Of Scheduling And Applications


Mathematical Aspects Of Scheduling And Applications
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Author : R. Bellman
language : en
Publisher: Elsevier
Release Date : 2014-05-20

Mathematical Aspects Of Scheduling And Applications written by R. Bellman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-20 with Business & Economics categories.


Mathematical Aspects of Scheduling and Applications addresses the perennial problem of optimal utilization of finite resources in the accomplishment of an assortment of tasks or objectives. The book provides ways to uncover the core of these problems, presents them in mathematical terms, and devises mathematical solutions for them. The book consists of 12 chapters. Chapter 1 deals with network problems, the shortest path problem, and applications to control theory. Chapter 2 stresses the role and use of computers based on the decision-making problems outlined in the preceding chapter. Chapter 3 classifies scheduling problems and their solution approaches. Chapters 4 to 6 discuss machine sequencing problems and techniques. Chapter 5 tackles capacity expansion problems and introduces the technique of embedded state space dynamic programming for reducing dimensionality so that larger problems can be solved. Chapter 6 then examines an important class of network problems with non-serial phase structures and exploits dimensionality reduction techniques, such as the pseudo-stage concept, branch compression, and optimal order elimination methods to solve large-scale, nonlinear network scheduling problems. Chapters 7 to 11 consider the flow-shop scheduling problem under different objectives and constraints. Chapter 12 discusses the job-shop-scheduling problem. The book will be useful to economists, planners, and graduate students in the fields of mathematics, operations research, management science, computer science, and engineering.



Dynamic Programming And Partial Differential Equations


Dynamic Programming And Partial Differential Equations
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Author : Angel
language : en
Publisher: Academic Press
Release Date : 1972-05-17

Dynamic Programming And Partial Differential Equations written by Angel and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-05-17 with Computers categories.


Dynamic Programming and Partial Differential Equations



Logic Based Methods For Optimization


Logic Based Methods For Optimization
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Author : John Hooker
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-28

Logic Based Methods For Optimization written by John Hooker 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 2011-09-28 with Mathematics categories.


A pioneering look at the fundamental role of logic in optimizationand constraint satisfaction While recent efforts to combine optimization and constraintsatisfaction have received considerable attention, little has beensaid about using logic in optimization as the key to unifying thetwo fields. Logic-Based Methods for Optimization develops for thefirst time a comprehensive conceptual framework for integratingoptimization and constraint satisfaction, then goes a step furtherand shows how extending logical inference to optimization allowsfor more powerful as well as flexible modeling and solutiontechniques. Designed to be easily accessible to industryprofessionals and academics in both operations research andartificial intelligence, the book provides a wealth of examples aswell as elegant techniques and modeling frameworks ready forimplementation. Timely, original, and thought-provoking,Logic-Based Methods for Optimization: * Demonstrates the advantages of combining the techniques inproblem solving * Offers tutorials in constraint satisfaction/constraintprogramming and logical inference * Clearly explains such concepts as relaxation, cutting planes,nonserial dynamic programming, and Bender's decomposition * Reviews the necessary technologies for software developersseeking to combine the two techniques * Features extensive references to important computationalstudies * And much more



Dynamic Programming


Dynamic Programming
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Author : Richard Ernest Bellman
language : en
Publisher:
Release Date : 1957

Dynamic Programming written by Richard Ernest Bellman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Dynamic programming categories.