关键词: 多目标优化问题, 同伦算法, 同伦路径

Abstract:

The combined homotopy method was constructed for solving multiobjective programming problem with inequalities constraints. This method does not need that the feasible region  satisfies the normal condition. And the initial weight vector of the objective function is infeasible. The existence, boundedness and convergence of the homotopy path were proved under the above mentioned conditions.

Key words: multiobjective programming problem, homotopy method, homotopy path