Using A Multi-objective Evolutionary Algorithm for Solving Bi-objective Bi-level Programming Models
用多目标进化算法求解二层规划双目标模型

In the classical single-objective bi-level programming problems,the final optimal solutions are always non-satisfactory to the decision makers in both upper and lower levels.To improve such situations,a new model with two objectives in the upper level is presented through taking into account the objective in the lower level in the same time.A multi-objective evolutionary algorithm for the bi-objective bi-level programming problems is presented.The single objective programming in the lower level is solved with traditional optimization algorithms,while a multi-objective evolutionary algorithm based on NSGAII is used to solve the bi-objective programming problem in the upper level.The performance of the proposed algorithm is illustrated using a numerical example in the published literature.