摘要
考虑当目标函数在约束条件下的最优值作扰动时,使各约束作极小扰动的非线性规划问题.文中引进了极小扰动约束规划的极小扰动有效解概念.利用把问题归为一个相应的多目标规划问题,给出了极小扰动约束有效解的最优性条件.
The nonlinear programming problem that the constraint perturbation attains minimum under the condition when the objective function makes its optimal perturbation is considered.This paper introduces the concept of minimal perturbation efficient solution in minimal perturbation constraints programming.Transferring this problem into a corresponding multiobjective programming,the optimality conditions of minimal perturbation constraints nonlinear programming are given.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2003年第3期335-340,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(70071026)
温州大学科研基金
关键词
非线性规划
极小扰动约束
有效解
最优性条件
nonlinear programming
minimal perturbation constraint
minimal perturbation efficient solution
optimality condition.
