摘要
利用灰色系统理论,提出了多目标优化时计算各目标权重的权系数群体评估法。针对多目标优化设计中存在的问题,提出了灰色差异度的方法。以灰色差异度为目标函数,将多目标优化转化为使灰色差异度最小的单目标优化。并以此方法对抽油机进行了多目标优化设计,得到了较优的结果。通过分析比较,说明该方法适用于多目标非光滑、奇异函数的优化设计。
Grey system based experts evaluation method of weighting coefficient is put forward. A new optimization strategy based on grey difference degree is given subsequently, which is used to solve multi-objective optimization design. Using grey difference degree, multi-objective optimization design can be converted to single objective optimization. Take the pumping unit multi-objective optimization design as example, the count steps of the proposed approach is given in details. The successful application in pumping unit multi-objective optimization design shows that the grey difference degree based strategy is effective. It can be used to solve non-smooth and strange functional multi-objective optimization design.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2003年第1期101-106,共6页
Journal of Mechanical Engineering
基金
国家自然科学重大项目基金(59990470-2)
高等学校博士学科点专项科研基金(20010487024)资助项目。
关键词
灰色系统理论
权系数群体评估法
灰色差异度
抽油机
多目标优化设计
Experts evaluation method of weighting coefficient Grey difference degree Pumping unit Multi-objective optimization design