Operations Research/Computer Science Interfaces Series

Cooperative and Noncooperative Multi-Level Programming

Authors: Sakawa, Masatoshi, Nishizaki, Ichiro

  • Presents the latest advances in the new field of multi-level mathematical programming problems in fuzzy, multi-objective, and uncertain environments
  • Provides mathematical models that can be used to solve real-world problems in large organization settings, including corporate, political, economic, and social situations
  • Cutting-edge research that combines for the first time cooperative and non-cooperative game theory
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eBook $149.00
price for USA (gross)
  • ISBN 978-1-4419-0676-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-1-4419-0675-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA
  • ISBN 978-1-4614-1719-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

 

About the authors

Masatoshi Sakawa was born in Matsuyama, Japan on 11 August 1947. He received B.E., M.E., and D.E. degrees in applied mathematics and physics at Kyoto University in 1970, 1972, and 1975, respectively. From 1975 he was with Kobe University where, since 1981, he was an Associate Professor in the Department of Systems Engineering. From 1987 to 1990 he was a Professor in the Department of Computer Science at Iwate University. At present he is a Professor at Hiroshima University and is working with the Department of Artificial Complex Systems Engineering in the Graduate School of Engineering. He was an Honorary Visiting Professor at University of Manchester Institute of Science and Technology (UMIST), Computation Department, sponsored by the Japan Society for the Promotion of Science (JSPS) from March to December 1991. He was also a Visiting Professor at the Kyoto Institute of Economic Research, Kyoto University from April 1991 to March 1992.

His research and teaching activities are in the area of systems engineering, especially mathematical optimization, multiobjective decision making, fuzzy mathematical programming and game theory. In addition to over 300 articles in National and International Journals, he is an author and coauthor of 5 books in English and 14 books in Japanese, including the Springer titles Genetic Algorithms and Fuzzy Multiobjective Optimization; Fuzzy Sets and Interactive Multiobject Optimization; Large-Scale Interactive Fuzzy Multiobjective Programming: Decomposition Approaches; and, with Nishizaki, Fuzzy and Multiobjective Games for Conflict Resolution.

Ichiro Nishizaki was born in Osaka, Japan, in January, 1959. He received B.E. and M.E. degrees in systems engineering at Kobe University in 1982 and 1984, respectively, and he received the D.E. degree from Hiroshima University in 1993. From 1984 to 1990, he worked for Nippon Steel Corporation. From 1990 to 1993, he was a Research Associate at the Kyoto Institute of Economic Research, Kyoto University. From 1993 to 1996, he was an Associate Professor in the Faculty of Business Administration and Informatics at Setsunan University. From 1997 to 2001, he was an Associate Professor at Hiroshima University, and was working with the Department of Artificial Complex Systems Engineering in the Graduate School of Engineering. At present, he is a Professor in that department. His research and teaching activities are in the area of systems engineering, especially game theory, multiobjective decision making, and fuzzy mathematical programming. He is an author or coauthor of about eighty papers, one book in English (Springer: Fuzzy and Multiobjective Games for Conflict Resolution), and two books in Japanese.

Reviews

From the reviews:

“I am very glad to have reviewed this book and believe that it is a great addition to the linear programming and optimization community. Any researcher who has to deal with multi-level linear programming will find this book a valuable reference. It also can be a good collection for university libraries. Some elegant ideas inside the multi-level linear programming formulism, such as ambiguity of human judgments, uncertainty description of feature events in decision-making process, can open doors for future thorough and innovative research.” (C. Cai, Journal of the Operational Research Society, Vol. 62 (2), 2011)

“The book presents an in-depth study of bilevel programs making use of models and methods in this class and will satisfy readers interested in this area of mathematical programming. The book also contains many good examples … . The target audience of the book is upper-level undergraduate and graduate students and researchers in the area of operations research and mathematical programming. The book will also be of interest to practitioners using bilevel modeling and decision-making and decision makers in hierarchical organizations.” (Margaret M. Wiecek, Mathematical Reviews, Issue 2011 j)


Table of contents (5 chapters)

  • Introduction

    Sakawa, Masatoshi (et al.)

    Pages 1-9

  • Optimization Concepts and Computational Methods

    Sakawa, Masatoshi (et al.)

    Pages 11-24

  • Noncooperative Decision Making in Hierarchical Organizations

    Sakawa, Masatoshi (et al.)

    Pages 25-82

  • Cooperative Decision Making in Hierarchical Organizations

    Sakawa, Masatoshi (et al.)

    Pages 83-179

  • Some applications

    Sakawa, Masatoshi (et al.)

    Pages 181-237

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4419-0676-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-1-4419-0675-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA
  • ISBN 978-1-4614-1719-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Cooperative and Noncooperative Multi-Level Programming
Authors
Series Title
Operations Research/Computer Science Interfaces Series
Series Volume
48
Copyright
2009
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-1-4419-0676-2
DOI
10.1007/978-1-4419-0676-2
Hardcover ISBN
978-1-4419-0675-5
Softcover ISBN
978-1-4614-1719-4
Series ISSN
1387-666X
Edition Number
1
Number of Pages
X, 250
Number of Illustrations and Tables
19 b/w illustrations
Topics