
Introduction to Dynamic Programming
International Series in Modern Applied Mathematics and Computer Science, Volume 1
- 300 pages
- English
- PDF
- Available on iOS & Android
Introduction to Dynamic Programming
International Series in Modern Applied Mathematics and Computer Science, Volume 1
About this book
Introduction to Dynamic Programming provides information pertinent to the fundamental aspects of dynamic programming. This book considers problems that can be quantitatively formulated and deals with mathematical models of situations or phenomena that exists in the real world. Organized into 10 chapters, this book begins with an overview of the fundamental components of any mathematical optimization model. This text then presents the details of the application of dynamic programming to variational problems. Other chapters consider the application of dynamic programming to inventory theory, Markov processes, chemical engineering, optimal control theory, calculus of variations, and economics. This book discusses as well the approach to problem solving that is typical of dynamic programming. The final chapter deals with a number of actual applications of dynamic programming to practical problems. This book is a valuable resource for.graduate level students of mathematics, economics, statistics, business, operations research, industrial engineering, or other engineering fields.
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Information
Table of contents
- Front Cover
- Introduction to Dynamic Programming
- Copyright Page
- Table of Contents
- Preface
- Chapter 1. Introduction
- Chapter 2. Some Simple Examples
- Chapter 3. Functional Equations: Basic Theory
- Chapter 4. One-dimensional Dynamic Programming: Analytic Solutions
- Chapter 5. One-dimensional Dynamic Programming: Computational Solutions
- Chapter 6. Multidimensional Problems
- Chapter 7. Reduction of State Dimensionality and Approximations
- Chapter 8. Stochastic Processes and Dynamic Programming
- Chapter 9. Dynamic Programming and the Calculus of Variations
- Chapter 10. Applications of Dynamic Programming
- Appendix. Sets, Convexity, and n-Dimensional Geometry
- References
- Index