| A MATHEMATICAL PROGRAMMING MODEL FOR THE COEXISTENCE OF COMPETITIONS AND COOPERATIONS PROBLEMS |
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| 引用本文： | MENG Zhiqing HU Qiying DANG Changyan. A MATHEMATICAL PROGRAMMING MODEL FOR THE COEXISTENCE OF COMPETITIONS AND COOPERATIONS PROBLEMS[J]. 系统科学与复杂性, 2005, 18(4): 556-563 |
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| 作者姓名： | MENG Zhiqing HU Qiying DANG Changyan |
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| 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. |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China under grunt 70271021 and SRG7001150. |
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| 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.
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| 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 |
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| 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 |
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| Authors: | MENG Zhiqing HU Qiying DANG Changyan |
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| 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. |
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| Keywords: | Coexistence of competitions and cooperations problems s-optimal solution mathematical programming. |
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