西南石油大学学报(自然科学版) ›› 1992, Vol. 14 ›› Issue (3): 103-110.DOI: 10.3863/j.issn.1000-2634.1992.03.015

• 数学 • 上一篇    下一篇

一类不可微多目标规划、的最优性条件及对偶定理

张吉军

  

  1. (管理工程系)
  • 收稿日期:1991-10-23 修回日期:1900-01-01 出版日期:1992-08-20 发布日期:1992-08-20

OPTIMALITY CONDIONS AND DUALITYTHEOREMS OF A CLASS OF NONDIFFERENTIABLE MULTIOBJECTiYE PROGRAMMING

Zhang Ji-jun   

  1. (Department of Management Engineering)
  • Received:1991-10-23 Revised:1900-01-01 Online:1992-08-20 Published:1992-08-20

摘要: 本文讨论了一类不可微多目标规划问题,它的每一个目标函数都是一个可微函数和一个二项式的平方根的和,在月一凸性的条件下,我们建立了最优性条件及弱衬偶定理,强村偶定理和逆对偶定理。

关键词: 多目标规划 最优性条件 逆对偶定理 弱时偶定理

Abstract: This paper discussed a class of nondifferential multiobjective progr-amming problem,each goal function of which is a sum of differentiable function and a square root of quadratic forms.Under conditions of convex, the author established optimality conditions and weak, strong, and conversa duality theorems.

Key words: Multijective programming Optimality condition C

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