基于个体预测的动态多目标优化算法

王万良,陈忠馗,吴菲,王铮,俞梦娇

Dynamic multi-objective optimization algorithm based on individual prediction

Wan-liang WANG,Zhong-kui CHEN,Fei WU,Zheng WANG,Meng-jiao YU

表 5 5种策略在部分测试问题上的MHVD指标

Tab.5 MHVD indicators of five strategies on some test questions

问题	$ ({\tau _t},{n_t}) $	MHVD
问题	$ ({\tau _t},{n_t}) $	PPS	CKPS	SPPS	HPPCM	IPS
FDA2	(20,10)	0.0329(0.00083)‡	0.0324(0.00033)‡	0.0333(0.00155)‡	0.0326(0.00105)‡	0.0315(0.00044)
	(25,10)	0.0320(0.00113)†	0.0319(0.00074)‡	0.0322(0.00061)‡	0.0313(0.00068)†	0.0311(0.00045)
	(30,10)	0.0310(0.00031)†	0.0310(0.00030)†	0.0319(0.00046)‡	0.0307(0.00040)	0.0309(0.00036)
FDA4	(20,10)	0.4382(0.01399)‡	0.3787(0.00302)‡	0.4177(0.17410)‡	0.2934(0.01041)	0.2986(0.00405)
	(25,10)	0.3799(0.01168)‡	0.3294(0.00692)‡	0.3024(0.00749)‡	0.2876(0.00799)‡	0.2728(0.00496)
	(30,10)	0.3459(0.00825)‡	0.3116(0.00252)‡	0.2909(0.00533)‡	0.2473(0.00487)	0.2544(0.00545)
DMOP1	(20,10)	0.2308(0.13815)‡	0.1510(0.00239)†	0.1455(0.00316)	0.1510(0.00152)†	0.1503(0.00066)
	(25,10)	0.2199(0.12614)‡	0.1489(0.00106)	0.1460(0.00146)	0.1506(0.00059)†	0.1502(0.00031)
	(30,10)	0.2193(0.12482)‡	0.1492(0.00061)	0.1473(0.00145)	0.1508(0.00054)†	0.1504(0.00044)
DMOP2	(20,10)	0.2462(0.01526)‡	0.1699(0.00150)‡	0.1684(0.00273)‡	0.1754(0.00443)‡	0.1644(0.00216)
	(25,10)	0.2253(0.04903)‡	0.1644(0.00351)†	0.1677(0.00252)‡	0.1676(0.00185)‡	0.1639(0.00175)
	(30,10)	0.1896(0.02220)‡	0.1642(0.00065)†	0.1619(0.00201)†	0.1656(0.00429)†	0.1593(0.00404)
F6	(20,10)	0.3912(0.09846)‡	0.2744(0.00899)†	0.2776(0.00544)†	0.2811(0.01186)†	0.2729(0.00377)
	(25,10)	0.3222(0.03755)‡	0.2659(0.00655)†	0.2693(0.01432)†	0.2652(0.01061)	0.2655(0.00412)
	(30,10)	0.3066(0.03760)‡	0.2598(0.00432)	0.2602(0.00464)	0.2611(0.00575)†	0.2603(0.00321)
F9	(20,10)	0.8048(0.14654)‡	0.3967(0.02728)‡	0.4101(0.03460)‡	0.3551(0.01192)†	0.3419(0.02853)
	(25,10)	0.6408(0.07758)‡	0.3705(0.03890)‡	0.3411(0.01947)‡	0.3353(0.04994)†	0.3113(0.02232)
	(30,10)	0.6098(0.06508)‡	0.3442(0.01784)‡	0.3293(0.02125)†	0.3079(0.01038)†	0.3014(0.01270)