Sakawa / Nishizaki Cooperative and Noncooperative Multi-Level Programming

1. Auflage 2009
ISBN: 978-1-4419-0676-2
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 250 Seiten

To derive rational and convincible solutions to practical decision making problems in complex and hierarchical human organizations, the decision making problems are formulated as relevant mathematical programming problems which are solved by developing optimization techniques so as to exploit characteristics or structural features of the formulated problems. In particular, for resolving con?ict in decision making in hierarchical managerial or public organizations, the multi level formula tion of the mathematical programming problems has been often employed together with the solution concept of Stackelberg equilibrium. However,weconceivethatapairoftheconventionalformulationandthesolution concept is not always suf?cient to cope with a large variety of decision making situations in actual hierarchical organizations. The following issues should be taken into consideration in expression and formulation of decision making problems. Informulationofmathematicalprogrammingproblems,itistacitlysupposedthat decisions are made by a single person while game theory deals with economic be havior of multiple decision makers with fully rational judgment. Because two level mathematical programming problems are interpreted as static Stackelberg games, multi level mathematical programming is relevant to noncooperative game theory; in conventional multi level mathematical programming models employing the so lution concept of Stackelberg equilibrium, it is assumed that there is no communi cation among decision makers, or they do not make any binding agreement even if there exists such communication. However, for decision making problems in such as decentralized large ?rms with divisional independence, it is quite natural to sup pose that there exists communication and some cooperativerelationship among the decision makers.

Autoren/Hrsg.

Sakawa, Masatoshi

Nishizaki, Ichiro

Inhaltsverzeichnis

1;Preface;6
2;Contents;8
3;Chapter 1 Introduction;11
3.1;1.1 Background;11
3.2;1.2 Description of contents;16
4;Chapter 2 Optimization Concepts and Computational Methods;20
4.1;2.1 Fuzzy programming;20
4.2;2.2 Multiobjective programming;22
4.3;2.3 Stochastic programming;26
4.4;2.4 Genetic algorithms;29
5;Chapter 3 Noncooperative Decision Making in Hierarchical Organizations;34
5.1;3.1 Historical background;34
5.2;3.2 Two-level linear programming;40
5.3;3.3 Two-level mixed zero-one programming;47
5.4;3.4 Two-level linear integer programming;59
5.5;3.5 Multiobjective two-level linear programming;68
5.6;3.6 Stochastic two-level linear programming;84
6;Chapter 4 Cooperative Decision Making in Hierarchical Organizations;92
6.1;4.1 Solution concept for cooperative decision making;92
6.2;4.2 Fuzzy two- and multi-level linear programming;95
6.3;4.3 Fuzzy two-level linear programming with fuzzy parameters;115
6.4;4.4 Fuzzy two-level linear fractional programming;123
6.5;4.5 Fuzzy decentralized two-level linear programming;130
6.6;4.6 Fuzzy two-level linear 0-1 programming;141
6.7;4.7 Fuzzy two-level nonlinear programming;148
6.8;4.8 Fuzzy multiobjective two-level linear programming;162
6.9;4.9 Fuzzy stochastic two-level linear programming;175
7;Chapter 5 Some applications;189
7.1;5.1 Two-level production and work force assignment problem;189
7.2;5.2 Decentralized two-level transportation problem;209
7.3;5.3 Two-level purchase problem for food retailing;231
8;References;246
9;Index;255