摘要
对多目标分层规划问题的宽容完全分层序列算法做改进,寻求各层次多目标子问题的最优均衡值和最优均衡解,针对上级优先层次对下级层次的宽容值,求出所有层次按优先级顺序的最优均衡解;给出多目标分层规划问题的最优均衡宽容完全分层序列算法,得到在一定宽容限下所有层次的帕雷托(Pareto)最优解。
The tolerance algorithm of stratified sequence for multi-objective stratified programming problems is improved. An optimal equilibrium value and some optimal equilibrium solutions are found out for every rank. The optimal equilibrium solutions of all stratified programming problems according to their priority - ranks are got, which is based on the tolerance payment of the superior to the subordinate. The tolerance payment sequence algorithm of optimal equilibrium for multi-objective stratified programming problems is developed, therefore, and Pareto optimum solutions to all the ranks within certain tolerance limits are obtained.
出处
《空军工程大学学报(自然科学版)》
CSCD
北大核心
2005年第1期83-86,共4页
Journal of Air Force Engineering University(Natural Science Edition)
基金
陕西省自然科学基金资助项目(2003A09)
关键词
多目标分层规划
宽容完全分层序列算法
最优均衡解
帕雷托最优解
multi- objective stratified programming
tolerance algorithm of stratified sequence
optimal equilibrium solution
Pareto optimum solution