Introduction to Dynamic Programming
eBook - PDF

Introduction to Dynamic Programming

International Series in Modern Applied Mathematics and Computer Science, Volume 1

  1. 300 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Dynamic Programming

International Series in Modern Applied Mathematics and Computer Science, Volume 1

About this book

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.

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Yes, you can access Introduction to Dynamic Programming by Leon Cooper,Mary W. Cooper, E. Y. Rodin in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2016
Print ISBN
9780080250649
eBook ISBN
9781483136622
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Introduction to Dynamic Programming
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Cliapter 1. Introduction
  7. Exercises—Chapter 1
  8. Chapter 2. Some Simple Examples
  9. Exercises—Chapter 2
  10. Chapter 3. Functional Equations: Basic Theory
  11. Exercise—Chapter 3
  12. Chapter 4. One-dimensional Dynamic Programming: Analytic Solutions
  13. Exercises—Chapter 4
  14. Chapter 5. One-dimensional Dynamic Programming: Computational Solutions
  15. Exercises—Chapter 5
  16. Chapter 6. Multidimensional Problems
  17. Exercises—Chapter 6
  18. Chapter 7. Reduction of State Dimensionality and Approximations
  19. Exercises—Chapter 7
  20. Chapter 8. Stochastic Processes and Dynamic Programming
  21. Exercises—Chapter 8
  22. Chapter 9. Dynamic Programming and the Calculus of Variations
  23. Exercises—Chapter 9
  24. Chapter 10. Applications of Dynamic Programming
  25. Appendix: Sets, Convexity, and n-Dimensional Geometry
  26. References
  27. Index