Mathematical Programming

Mathematical Programming

Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin, and the U. S. Army at Madison, September 11-13, 1972

1st Edition - January 1, 1973

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  • Editors: T. C. Hu, Stephen M. Robinson
  • eBook ISBN: 9781483260792

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Mathematical Programming provides information pertinent to the developments in mathematical programming. This book covers a variety of topics, including integer programming, dynamic programming, game theory, nonlinear programming, and combinatorial equivalence. Organized into nine chapters, this book begins with an overview of optimization of very large-scale planning problems that can be achieved on significant problems. This text then introduces non-stationary policies and determines certain operating characteristics of the optimal policy for a very long planning horizon. Other chapters consider the perfect graph theorem by defining some well-known integer-valued functions of an arbitrary graph. This book discusses as well integer programming that deals with the class of mathematical programming problems in which some or all of the variables are required to be integers. The final chapter deals with the basic theorem of game theory. This book is a valuable resource for readers who are interested in mathematical programming. Mathematicians will also find this book useful.

Table of Contents

  • Preface

    On the Need for a System Optimization Laboratory

    A Markov Decision Problem

    On the Perfect Graph Theorem

    A Survey of Integer Programming Emphasizing Computation and Relations Among Models

    The Group Problems and Subadditive Functions

    Cyclic Groups, Cutting Planes, Shortest Paths

    Use of Cyclic Group Methods in Branch and Bound

    Simplicial Approximation of an Equilibrium Point for Non-Cooperative N-Person Games

    On Balanced Games without Side Payments


Product details

  • No. of pages: 308
  • Language: English
  • Copyright: © Academic Press 1973
  • Published: January 1, 1973
  • Imprint: Academic Press
  • eBook ISBN: 9781483260792

About the Editors

T. C. Hu

Stephen M. Robinson

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