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区间规划问题的最优性条件

孙玉华 许平 王来生

运筹与管理Issue(1):39-43,5.
运筹与管理Issue(1):39-43,5.

区间规划问题的最优性条件

Optimality Conditions for Interval-Valued Programming

孙玉华 1许平 1王来生2

作者信息

  • 1. 北京科技大学 数理学院,北京 100083
  • 2. 中国农业大学 理学院,北京 100083
  • 折叠

摘要

Abstract

The programming with interval coefficients is called interval programming , which is flexible program-ming to easily solve some optimization problems .Interval programming can be regarded as an extension of deterministic optimization problems .There are two kinds of interval programming: interval linear programming and interval nonlinear programming .In this paper , we discuss interval-valued programming where the objective function is an interval-valued function .The necessary optimality conditions are established for a feasible point to LU optimal solution, and the sufficient optimality conditions are obtained under ( p,r) -ρ-(η,θ) -invexity assumptions on objective and the constraint functions .

关键词

不确定优化/区间规划/最优性条件/( p,r)-ρ-(η,θ)-不变凸函数

Key words

uncertain optimization/interval-valued programming/optimality conditions/( p,r) -ρ-(η,θ) -invexity functions

分类

数理科学

引用本文复制引用

孙玉华,许平,王来生..区间规划问题的最优性条件[J].运筹与管理,2014,(1):39-43,5.

基金项目

国家自然科学基金资助项目 ()

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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