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多目标弧式凸规划的对偶理论

Duality Theory of Multiobjective Arcwise-convex Programming
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摘要 本文讨论多目标弧式凸规划的对偶理论.我们建立了多目标孤式凸规划的三个对偶模型,并证明了关于Pareto有效解的弱对偶、直接对偶和逆对偶定理. We discuss the duality theory of multiobjective arcwise-convex programming.Three dual models of multiobjective arcwise-convex programming are established and the theorems of weak duality,direct duality and converse duality for Pareto efficient solutions are proved.
作者 李仲飞
出处 《内蒙古大学学报(自然科学版)》 CAS CSCD 1992年第1期15-21,共7页 Journal of Inner Mongolia University:Natural Science Edition
关键词 多目标规划 对偶性 Pareto有效解 duality multiobjective programming Pareto efficient solution arcwise quasi-convexity arcwise pseudo-convexity
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参考文献4

  • 1T. Tanino,Y. Sawaragi. Duality theory in multiobjective programming[J] 1979,Journal of Optimization Theory and Applications(4):509~529
  • 2Dr. H. Isermann. On some relations between a dual pair of multiple objective linear programs[J] 1978,Zeitschrift für Operations Research(1):33~41
  • 3D. G. Mahajan,M. N. Vartak. Generalization of some duality theorems in nonlinear programming[J] 1977,Mathematical Programming(1):293~317
  • 4R. E. Wendell,D. N. Lee. Efficiency in multiple objective optimization problems[J] 1977,Mathematical Programming(1):406~414

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