较多约束规划的稳定性

Stability of Major Constraint Programming

文章研究较多约束规划问题的稳定性.在给出问题的较多约束集结构表示的基础上,研究当目标函数和约束函数关于自变量和扰动变量均为连续时,扰动较多约束规划的最优值关于扰动变量的连续性.得到扰动较多约束规划的最优解集的半连续性.在此基础上,讨论当目标函数和约束函数均为凸函数时,扰动较多约束规划的最优值和最优解集的连续性和半连续性.

In this paper,the stability of a class of major constraint programming is studied.Based on the representation of major constraint set structure,the continuity of the optimal value and the semicontinuity of its optimal solution set with the perturbation variables for the perturbation major constraints programming are obtained when the objective and constraint functions are continuous with respect to the independent variables and perturbation variables.On this basis,the continuity of the optimal value and the semicontinuity of the optimal solution set for the perturbation major constraints programming are also discussed when the objective function and constraint functions are convex.