多目标规划非劣解集图解直接生成法及其应用

The Graphical Method of Directly Generating the Non-inferior Set of Multiobjective Programming Problem and Its Application

本文指出了非劣解集是多目标规划的关键.从理论分析的角度研究了非劣解的直接生成问题,将非劣解集图解直接生成法理论化,使之发展与完善;并探讨了将其推广到非线性问题的可能性.对一个综合利用水库建立了多目标参数优选模型,并用图解直接生成法及最佳协调解作了分析.

Based on the study of the direct generation of the non-inferior set the key to the multiobjective programming problem in the non-inferior set is pointed out in this paper,and the graphical method of directly generating the non-inferior set is theorized.This method is developed and improved further in this paper and it may be used for solving the non-liner programming problem.A multiobjective parameter optimization model is developed for a multipurpose reservior and the result is obtained by using the graphical direct generation method and the optimal coordinate solution.