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Dynamic Programming

A Computational Tool

  • Lew Art
  • Holger Mauch

Part of the Studies in Computational Intelligence book series (SCI, volume 38)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Dynamic Programming

  3. Modeling of DP Problems

  4. Design and Implementation of DP Tool

    1. Front Matter
      Pages 245-245
    2. Pages 247-257
    3. Pages 259-269
    4. Pages 271-289
  5. Computational Results

    1. Front Matter
      Pages 292-292
    2. Pages 321-327
    3. Pages 329-337
  6. Back Matter
    Pages 339-379

About this book

Introduction

This book provides a practical introduction to computationally solving discrete optimization problems using dynamic programming. From the unusually numerous and varied 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, named DP2PN2Solver, that has been used to numerically solve all of the problems presented earlier in the book. This computational tool can be used by students to solve academic problems if this book is used in coursework, and by practitioners to solve many real-world problems if the state space is not too large.

Finally, this book is also a research monograph that describes a novel application of Petri net theory. DP2PN2Solver takes user input in the form of the DP functional equation for a problem, automatically constructs a Petri net model, called a Bellman net, as an internal computer representation for the DP problem, and then generates from the Bellman net the numerical solution for the DP problem. This solution can be obtained using Java, a spreadsheet, a Petri net tool, and other systems.

Keywords

Bellman Nets Computer Computer-Aided Design (CAD) Dynamics Programming Java Petri Nets model modeling optimization programming

Authors and affiliations

  • Lew Art
    • 1
  • Holger Mauch
    • 2
  1. 1.Department of Information and Computer SciencesUniversity of Hawaii at ManoaHI 96822HonoluluUSA
  2. 2.Department of Computer Science Natural Sciences CollegiumEckerd CollegeFL 33711Saint PetersburgUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-37014-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-37013-0
  • Online ISBN 978-3-540-37014-7
  • Series Print ISSN 1860-949X
  • Buy this book on publisher's site
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