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A MATHEMATICAL PROGRAMMING MODEL FOR THE COEXISTENCE OF COMPETITIONS AND COOPERATIONS PROBLEMS
作者姓名:MENG  Zhiqing  HU  Qiying  DANG  Changyan
作者单位:[1]College of Business and Administration, Zhejiang University of Technology, Zhejiang 310032, China. [2]College of International Business & Management, Shanghai University, Shanghai 201800, China [3]Department of Manufacturing Engineering & Engineering Management, City University of Hong Kong, Kowloon, Hong Kong, China.
基金项目:This research is supported by the National Natural Science Foundation of China under grunt 70271021 and SRG7001150.
摘    要:We study in this paper a mathematical programming model for the coexistence of competitions and cooperations problems. We introduce a new solution concept, s-optimal solution for the problem, which always exists under compact and continuous conditions. It is shown that an s-optimal solution can be obtained by solving a nonlinear programming problem. Some examples are given to explain how to compute an s-optimal solution.

关 键 词:协作问题  共存系统  竞争系统  最优解  数学规划
收稿时间:2004-11-03
修稿时间:2004-11-032005-06-15

A MATHEMATICAL PROGRAMMING MODEL FOR THE COEXISTENCE OF COMPETITIONS AND COOPERATIONS PROBLEMS
MENG Zhiqing HU Qiying DANG Changyan.A MATHEMATICAL PROGRAMMING MODEL FOR THE COEXISTENCE OF COMPETITIONS AND COOPERATIONS PROBLEMS[J].Journal of Systems Science and Complexity,2005,18(4):556-563.
Authors:MENG;Zhiqing;HU;Qiying;DANG;Changyan
Abstract:We study in this paper a mathematical programming model for the coexistence of competitions and cooperations problems. We introduce a new solution concept, s-optimal solution for the problem, which always exists under compact and continuous conditions. It is shown that an s-optimal solution can be obtained by solving a nonlinear programming problem. Some examples are given to explain how to compute an s-optimal solution.
Keywords:Coexistence of competitions and cooperations problems  s-optimal solution  mathematical programming  
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