Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (12): 2977-2981.

• 软件、算法与仿真 • 上一篇    下一篇

基于灵敏度分析的Pareto解改进计算方法

范培蕾,张晓今,杨涛   

  1. 国防科学技术大学航天与材料工程学院, 湖南 长沙 410073
  • 出版日期:2009-12-24 发布日期:2010-01-03

Method of Pareto improved solutions based on sensitivity analysis

FAN Pei-lei, ZHANG Xiao-jin, YANG Tao   

  1. Coll. of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China
  • Online:2009-12-24 Published:2010-01-03

摘要:

由于多目标优化算法得到的Pareto最优解集通常是离散分布的点,并非连续曲线(曲面),大多数情况下无法为决策者提供较多完全符合决策要求的Pareto解。根据多目标优化与决策的关系,定义了偏好模型以量度对优化目标的满意程度,并通过灵敏度分析提出了一种Pareto改进解的计算方法,旨在确定是否存在更符合偏好要求的改进解。结果证明,此方法能有效地对Pareto最优解集中的元素进行改进,提供给决策者更多符合偏好要求的候选解,辅助决策人员选择最终方案。

Abstract:

Owing to Pareto solutions'  discrete distribution, not a continuous curve/surface, derived from a multiobjective evolutionary algorithm, the decisionmaker couldnot get Pareto solutions for totally meeting design requirements in most cases. According to the relationship between multiobjective optimization and decisionmaking machine, the preference requirement and preference function are proposed to measure the satisfaction level for objective values. And a method of Pareto improved solutions based on sensitivity analysis is used to ascertain whether there exist some more solutions which might even more meet preference requirements. Simulation results show that Pareto solutions from the candidate set are improved effectively while assisting in providing more Pareto solutions for meeting preference requirements to be the final scheme.