结合模糊聚类和合作竞争博弈的优化方法

摘要/Abstract

摘要：

针对多目标优化问题转化为博弈问题的难点，即博弈问题的各博弈方战略集的确定问题，利用均匀设计试验法、回归分析和F检验为模糊聚类提供数据基础，将多目标优化设计与博弈分析结合起来,提出了一种多目标优化方法。以减速器优化设计为例，对该方法的性能进行了分析与验证,并与传统单目标优化方法进行对比分析。结果表明,该方法收敛速度快，计算效率高，无需人为确定各目标权重，具有工程应用价值。

关键词: 模糊聚类, 合作竞争博弈, 均匀设计, 回归分析

Abstract:

Aiming at the difficulty of transforming multi-objective optimization problem to game problem which was about determining the strategy set for each partition of game players,a multi-objective optimization method was proposed by using uniform design experimentation, regression analysis and F test statistic to obtain data bases for fuzzy clustering and combining cooperative competition game.Taking reducer design optimization as an example,performance of the method was analyzed and verified. Compared with the traditional single-objective optimization method,the experimental results show that the multi-objective method has fast convergence rate and high computational efficiency,and it is unneccessary to determine the weight of each target,which has engineering application values.

Key words: fuzzy clustering, cooperative competition game, uniform design, regression analysis

中图分类号:

TG122

陈加明, 宋小文, 徐浩. 结合模糊聚类和合作竞争博弈的优化方法[J]. 中国机械工程, 2015, 26(16): 2179-2182.

Chen Jiaming, Song Xiaowen, Xu Hao. Optimization Method Based on Fuzzy Clustering and Cooperative Competition Game[J]. China Mechanical Engineering, 2015, 26(16): 2179-2182.

参考文献

[1]唐焕文,秦学志.实用最优化方法[M].大连:大连理工大学出版社, 2004.
[2]Sawaragi Y,Nakayama H,Tanino T.Theory of Multi-objective Optimization[M].New York:Academic Press,1985.
[3]谢能刚,方浩,包家汉,等.博弈决策分析在补偿滑轮组变幅机构多目标设计中的应用[J].机械强度,2005,27(2):202-206.
Xie Nenggang,Fan Hao,Bao Jiahan,et al.Game Analysis of Multi-objective Design on Iuff Mechanism of Compensative Sheave Block[J]. Journal of Mechanical Strength,2005,27(2):202-206.
[4]Bao J H,Xie N G,Cen Y W,et al.Multi-objective Optimization Design of Passive Suspension Parameters Based on Collusion Cooperation Game Theory[C]//2010 8th World Congress on Intelligent Control and Automation,WCICA 2010.Jinan,2010:118-125.
[5]刘亚相,孙洪罡,王丽波,等.多目标博弈的模糊求解法[J].西北农林科技大学学报（自然科学版）,2004,32(10):149-152.
Liu Yaxiang,Sun Honggang,Wang Libo,et al.Fuzzy Solution in Multiobjective Games[J].Journal of Northwest Sci-Tech University of Agriculture and Forestry,2004,32(10):149-152.
[6]方世杰,綦耀光.机械优化设计[M].北京:机械工业出版社,2003.
[7]Wu Jie.Cooperation with Competitors and Product Innovation:Moderating Effects of Technological Capability and Alliances with Universities[J]. Industrial Marketing Management,2014,43(2):199-209.
[8]刘永才.均匀设计及其应用[J].战术导弹技术,2002(1):58-61.
Liu Yongcai.Uniform Design and Its Application[J].Tactical Missile Technology,2002(1):58-61.
[9]Lulic H,Civic A,Pasic M,et al.Optimization of Thermal Insulation and Regression Analysis of Fuel Consumption[J].Procedia Engineering,2014,69(3):902-910.
[10]韦艳玲.基于F检验的模糊聚类小额农贷款信用风险预测[J].安徽农业科学,2011,39(1):565-566,597.
Wei Yanling.Prediction of Credit Risk of Micro-loans to Farmer by Using Fuzzy Clustering Based on F Test[J].Journal to Anhui Agricultural Sciences,2011，39(1):565-566.597.
[11]杨可桢,程光蕴,李仲生.机械设计基础[M].北京:高等教育出版社,2006.

[1]	张春亮;陈铭. 基于拆解难度和模糊聚类的泛化报废汽车拆解成本预测[J]. 中国机械工程, 2019, 30(07): 840-845.
[2]	乔泽民1,2;张心明1;李俊烨1;卫丽丽1;赵伟宏1. 基于均匀设计法的磨粒流加工试验[J]. 中国机械工程, 2018, 29(04): 398-402.
[3]	孙涛1,2;梁晋1;李登万2;魏斌1;郭楠1. 高温合金高速精铣表面完整性建模及切削参数优化研究[J]. 中国机械工程, 2017, 28(16): 1906-1913.
[4]	陈文华, 朱志鹏, 高亮, 潘骏, 孔祥泽. 基于均匀设计理论的非矩形试验区域恒加寿命试验优化设计方法[J]. 中国机械工程, 2016, 27(15): 2064-2068.
[5]	王艳, 杨林, 丁成才, 丁成业. 基于圆台形热传导模型的慢走丝线切割仿真与试验[J]. 中国机械工程, 2015, 26(5): 598-605.
[6]	张淑清, 包红燕, 李盼, 李新新, 姜万录. 基于RQA与GG聚类的滚动轴承故障识别[J]. 中国机械工程, 2015, 26(10): 1385-1390.
[7]	张伟;叶文华. 基于灰色关联和模糊聚类的机床温度测点优化[J]. 中国机械工程, 2014, 25(4): 456-460.
[8]	孟宗, 王亚超, 王晓燕, . 基于DLMD样本熵和模糊聚类的滚动轴承故障诊断[J]. 中国机械工程, 2014, 25(19): 2634-2641.
[9]	贺朝霞1;刘更2;常乐浩1. 高重合度人字齿轮副啮合刚度影响规则的知识发现[J]. 中国机械工程, 2014, 25(15): 1989-1993.
[10]	王书涛;李亮;张淑清;孙国秀. 基于EEMD样本熵和GK模糊聚类的机械故障识别[J]. 中国机械工程, 2013, 24(22): 3036-3040,3044.
[11]	曹立波, 龙腾蛟, 张冠军, 刘适. 基于行人保护的轿车前部造型特征研究[J]. 中国机械工程, 2013, 24(16): 2266-2271.
[12]	雷成1, 2, 肖守讷1, 罗世辉1. 轨道车辆切削式吸能装置吸能特性研究[J]. 中国机械工程, 2013, 24(02): 263-267.
[13]	沈维蕾, 赵韩, 周蓉. 基于模糊聚类分析的控制图变点估计研究[J]. 中国机械工程, 2012, 23(23): 2835-2838.
[14]	钱萍, 陈文华, 高亮, 卢献彪, 马子魁. 航天电连接器综合应力可靠性统计模型的验证 [J]. 中国机械工程, 2011, 22(3): 257-261,273.
[15]	韦韫, 李东波, 童一飞. 面向用户需求的制造资源服务模糊聚类研究 [J]. 中国机械工程, 2011, 22(23): 2828-2833.