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具有广义凸的多目标规划 被引量：1

Multiobjective programming with generalized convexity
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摘要 在较弱凸性条件下,研究了多目标规划问题的解,无约束多目标规划在目标函数是一致凸条件下,其向量稳定点是弱有效解。约束多目标规划在目标函数和约束函数是一致凸条件下,其Kuhn-Tucker点是弱有效解。在应用上,向量稳定点和Kuhn-Tucker点分别为寻找无约束规划和约束规划的弱有效解提供了重要理论依据。 This paper obtained the stationary point of unconstrained multiobjective programming with weak efficient solution, and KuhnTucker point of constrained multiobjective programming with weak efficient solution. In application, vector stationary points and KuhnTucker points provide a very important theory foundation for seeking weak efficient solution of unconstrained and constrained multiobjective programming.
作者 李晓莉
机构地区 长安大学理学院
出处 《长安大学学报（自然科学版）》 EI CAS CSCD 北大核心 2003年第5期120-122,共3页 Journal of Chang’an University(Natural Science Edition)
关键词 向量稳定点 Kuhn-Tucker点 多目标规划 一致凸 弱有效解 vector stationary points Kuhn-Tucker points univexity multiobjective programming
分类号 O221.1 [理学—运筹学与控制论]
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参考文献6

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同被引文献7

  • 1Morris R J T. Optimal constrained selection of a measurable subset[J]. JMAA, 1979,70(2):546-562.
  • 2Zalmai G J. Sufficiency criteria and duality for nonlinear programs involving n-set functions[J]. JMAA,1990, 149(1) :322-338.
  • 3Bector C R. Efficiency and duality for nonlinear multiobjective programming involving n-set functions [J].JMMA, 1994,182(2) :486-500.
  • 4Bector C R, Singh M. Duality for multiobjective b-vex programming involving n-set functions [ J ]. JMAA,1996,202(3) :701-726.
  • 5Gorley H W. Optimization theory for n-set functions [J]. JMAA,1987,127(1) :193-205.
  • 6Zalmai G J. Optimality conditions and duality for multiobjective measurable subset slelction problems [J].Optimization, 1991,2(1) :221-238.
  • 7Vasile P. On duality of multiobjective fractional measurable subset selection problems[J]. JMAA, 1995,196(2) :514-525.

引证文献1

长安大学学报（自然科学版）
2003年 第5期

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