Advertisement

Cooperative and Noncooperative Multi-Level Programming

  • Ichiro Nishizaki
  • Masatoshi Sakawa

Part of the Operations Research/Computer Science Interfaces Series book series (ORCS, volume 48)

Table of contents

  1. Front Matter
    Pages 1-9
  2. Masatoshi Sakawa, Ichiro Nishizaki
    Pages 1-9
  3. Masatoshi Sakawa, Ichiro Nishizaki
    Pages 11-24
  4. Masatoshi Sakawa, Ichiro Nishizaki
    Pages 25-82
  5. Masatoshi Sakawa, Ichiro Nishizaki
    Pages 83-179
  6. Masatoshi Sakawa, Ichiro Nishizaki
    Pages 181-237
  7. Back Matter
    Pages 1-11

About this book

Introduction

This addition to the OPERATIONS RESEARCH/COMPUTER SCIENCE INTERFACES Series represents a sorely-needed advance in decision science and game theory literature. Drs. Sakawa and Nishizaki present their combined work in applying both cooperative and noncooperative game theory in the solving of real-world problems in fuzzy, multiobjective, and uncertain environments, and the potential applications of their approaches range from corporate environments to economics, applied mathematics, and policy decision making. Sakawa has gained recognition for his work on genetic algorithms, and shows in this book how they can be used when linear programming doesn’t suffice. Nishizaki has worked extensively in systems engineering, especially in game theory, multiobjective decision making and fuzzy mathematical programming, and is doing much to advance theory and practice in real-world decision science.

The monograph first provides a review of the optimization concepts that underlie the rest of the book: fuzzy programming; multiobjective programming; stochastic programming; and genetic algorithms. The authors then apply these concepts to noncooperative decision making in hierarchical organizations, using multiobjective and two-level linear programming, and then consider cooperative decision making in hierarchical organizations. They then present applications in a work force assignment problem; a transportation problem; and an inventory and production problem in supply chain management. After examining possible future directions in two-level programming, including use of metaheuristics and genetic algorithms to help manage large numbers of integer decision variables, they present conclusions.

 

Keywords

Stochastic Programming algorithm algorithms fuzzy game theory genetic algorithms linear optimization mathematical programming metaheuristic operations research optimization programming

Editors and affiliations

  • Ichiro Nishizaki
  • Masatoshi Sakawa

There are no affiliations available

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-0676-2
  • Copyright Information Springer-Verlag US 2009
  • Publisher Name Springer, Boston, MA
  • eBook Packages Business and Economics
  • Print ISBN 978-1-4419-0675-5
  • Online ISBN 978-1-4419-0676-2
  • Series Print ISSN 1387-666X
  • Buy this book on publisher's site