| 多目标分层规划问题的最优均衡宽容值序列算法 |
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| 引用本文： | 李炳杰,周宏安,迟晓妮.多目标分层规划问题的最优均衡宽容值序列算法[J].空军工程大学学报,2005,6(1):83-86. |
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| 作者姓名： | 李炳杰 周宏安 迟晓妮 |
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| 作者单位： | [1]空军工程大学电讯工程学院，陕西西安710077／／西安电子科技大学理学院，陕西西安710071 [2]西安电子科技大学理学院，陕西西安710071／／陕西理工学院基础部，陕西汉中723001 [3]西安电子科技大学理学院，陕西西安710071 |
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| 基金项目： | 陕西省自然科学基金资助项目(2003A09) |
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| 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
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| 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 |
| 文章编号： | 1009-3516(2005)01-0083-04 |
| 修稿时间： | 2004年6月2日 |
Tolerance Payment Sequence Algorithm of Optimal Equilibrium for Multi-objective Stratified Programming Problems |
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| LI Bing-jie,ZHOU Hong-an,CHI Xiao-ni.Tolerance Payment Sequence Algorithm of Optimal Equilibrium for Multi-objective Stratified Programming Problems[J].Journal of Air Force Engineering University(Natural Science Edition),2005,6(1):83-86. |
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| Authors: | LI Bing-jie ZHOU Hong-an CHI Xiao-ni |
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| Affiliation: | LI Bing-jie~ |
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| Abstract: | 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. |
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| Keywords: | multi- objective stratified programming tolerance algorithm of stratified sequence optimal equilibrium solution Pareto optimum solution |
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