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多目标规划问题的约束度分析 被引量:2

The constraint degree analysis of multi-objective programming problems
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摘要 对于多目标规划问题 ,提出了约束度的概念 ,基于此概念利用各个约束度序列可以刻划该规划系统的相容性。决策者可根据约束优化原则把原问题转化为弱约束的规划问题来求其非劣解。最后 ,用一个算例说明了这种方法的应用。 A new concept of so called“constraint degree”is introduced for a multi objective programming problems,on the basis of which the compatibility of the programming problems is described by all sequences of the constraint degree. According to the principle of the optimal constraint, the decision maker can find out its non inferior solution by transforming the original problem into a programming problem with weak constraint conditions. Finally, the application of this method is illustrated with a numerical example.
出处 《宝鸡文理学院学报(自然科学版)》 CAS 2001年第3期165-167,179,共4页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金 国家自然科学基金资助 (6 9972 0 6 ) 汉中师范学院科研基金资助
关键词 多目标规划 约束度 约束度序列 非劣解 multi objective programming constraint degree sequences of constraint non inferior
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参考文献3

  • 1滕传琳.管理运筹学[M].北京:中国铁道出版社,1987.
  • 2胡适耕,施保昌.最优化原理[M].武汉:华中理工大学出版社,1999.
  • 3DUBOIS Dider. FORTEMPS Philippe.Computing improved optimal solutions to max-min flexible constraint statisfaction problems[J]. European Journal of Operational Research, 1999,118:95-126.

同被引文献5

  • 1Derks J J M. On Linear Inequality Systems without Strongly Redundant Constraints[J]. European Journal of Operational Research, 1995, 81 :652 - 662.
  • 2Leon T, Liem V. A Fuzzy Method to Repair Infeasibility in Lineariy Constrained Problems[J]. Fuzzy Sets and Systems, 2001, 112:237 -243.
  • 3胡适耕 施保昌.最优化原理[M].武汉:华中理工大学出版社,1999..
  • 4Dider Dubois, Philippe Fortemps. Computing improved optimal solutions to max - min flexible constraint statisfaetion problems [ J ]. European Journal of Operational Research, 1999,118:95-126.
  • 5刘旺梅,韩旭里.一种求解多目标规划的新方法[J].系统工程与电子技术,2001,23(8):15-17. 被引量:2

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