学術論文

基本情報

氏名 丹羽 啓一
氏名(カナ) ニワ ケイイチ
氏名(英語) Niwa Keiichi

著書,学術論文等の名称

Multiobjective Two-Level Integer Programming through Genetic Algorithms

単著・共著の別

共著

発行又は発表の年月

2010/12

発行予定

 

発行所,発表雑誌等又は発表学会等の名称

Joint 5th International Conference on Soft Computing and Intelligent Systems and 11th International Symposium on Advanced Intelligent Systems Conference Proceedings

巻・号

 

掲載ページ

1038~1043

概要

In this paper we consider a multiobjective two-level integer programming problem in which there is not cordination between the decision maker at the upper level and the decision maker at the lower level. The decision maker at the upper level has an objective function and the decision maker at the lower level has multiple objective functions. The decision maker at the upper level must take account of multiple rational responses of the decision maker at the lower level in the problem. We examine two kinds of situations based on anticipation of the decision maker at the upper level; an optimistic anticipation and a pessimistic anticipation. Mathematical programming problems for obtaining the Stackelberg solutions based on two kinds of anticipation are formulated and three kinds of computational methods for obtaining the Stackelberg solutions are proposed. We carry out numerical experiments in order to demonstrate feasibility and effectiveness of the proposed methods.