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
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 ()