Stability of Major Constraint Programming

Abstract

In this paper, the stability of major constraint programming is studied. With the help of the representation of major constraint set structure, the continuity of the optimal value with the perturbation variables for perturbation major constraint programming is given when the objective function and constraint functions with the independent variables and perturbation variables are continuous. At the same time, the semicontinuity of the optimal solution set of perturbation major constraint programming is obtained.