An Improved Cockroach Swarm Optimization

Table 3

Simulation results of RIO, HRIO, CSO, MCSO, and ICSO.

SN	Fn.	Dim.	Opt.		RIO	HRIO	CSO	MCSO	ICSO
10	Sphere	30	0	Ave.	2.2168𝐸−05	1.6676𝐸−04	1.8123𝐸02	1.5201𝐸−12	3.3448𝐸−34
				STD	2.4528𝐸−05	2.4018𝐸−04	8.1048𝐸02	6.7224𝐸−12	1.3324𝐸−33
				Best	5.7627𝐸−09	5.5635𝐸−08	4.9195𝐸−07	2.9978𝐸−24	2.8205𝐸−54
				Success	20/20	20/20	19/20	20/20	20/20
				Time	0.617544	0.557871	25.378161	0.82512	0.199373
11	Rastrigin	30	0	Ave.	3.8135𝐸−05	3.2150𝐸−04	3.6022𝐸03	9.1994𝐸−11	0.0000
				STD	3.4436𝐸−05	3.0003𝐸−04	5.5728𝐸03	3.9456𝐸−10	0.0000
				Best	2.7098𝐸−07	2.1450𝐸−07	3.1340𝐸−04	0.0000	0.0000
				Success	20/20	20/20	5/20	20/20	20/20
				Time	0.956329	0.826770	71.811170	0.175563	0.369987
12	Rosenbrock	30	0	Ave.	2.5281𝐸06	3.3571𝐸06	9.5067𝐸11	2.9000𝐸01	2.9000𝐸01
				STD	4.0528𝐸06	7.1150𝐸06	2.2713𝐸12	0.0000	0.0000
				Best	1.6773𝐸04	3.7562𝐸04	4.4068𝐸01	2.9000𝐸01	2.9000𝐸01
				Success	0/20	0/20	0/20	0/20	0/20
				Time	126.618734	127.469638	81.361663	76.084929	78.572185
13	Ackley	30	0	Ave.	2.0001𝐸01	2.0005𝐸01	1.9222𝐸01	5.1593𝐸−06	1.0651𝐸−15
				STD	3.0455𝐸−03	1.5671𝐸−02	5.8258	1.9149𝐸−05	7.9441𝐸−16
				Best	2.0001𝐸01	1.9998𝐸01	2.0133𝐸01	6.4623𝐸−09	8.1818𝐸−16
				Success	0/20	0/20	0/20	20/20	20/20
				Time	122.216187	117.635854	82.227210	0.235012	0.192339
14	Quadric	30	0	Ave.	2.4498𝐸−05	2.2711𝐸−04	3.4991𝐸−04	4.4754𝐸−13	7.2183𝐸−28
				STD	2.7957𝐸−05	2.3635𝐸−04	3.3725𝐸−04	1.9751𝐸−12	3.2218𝐸−27
				Best	1.1360𝐸−08	5.8230𝐸−07	4.1551𝐸−08	5.6309𝐸−23	5.910𝐸−52
				Success	20/20	20/20	20/20	20/20	20/20
				Time	0.718785	0.512242	31.075809	0.247456	0.227244
15	Schwefel2.22	30	0	Ave.	2.3131𝐸02	2.4395𝐸02	2.9013𝐸54	6.3587𝐸−06	6.0407𝐸−16
				STD	1.3193𝐸02	1.2341𝐸02	1.2971𝐸55	1.1936𝐸−05	1.2203𝐸−15
				Best	6.7400𝐸01	1.7354𝐸01	3.6854𝐸01	5.9410𝐸−08	5.1670𝐸−24
				Success	0/20	0/20	0/20	20/20	20/20
				Time	128.445013	127.084387	79.924516	0.217104	0.219296
16	Griewangk	30	0	Ave.	7.9510𝐸−01	7.7746𝐸−01	2.6148𝐸01	3.3151𝐸−11	0.0000
				STD	3.7583𝐸−01	2.5454𝐸−01	3.6626𝐸01	1.4672𝐸−10	0.0000
				Best	2.9324𝐸−01	3.2031𝐸−01	6.3912𝐸−05	0.0000	0.0000
				Success	0/20	0/20	5/20	20/20	20/20
				Time	126.872461	126.210153	70.852376	0.211351	0.210934
17	Sumsquare	30	0	Ave.	1.9818𝐸03	4.6771𝐸03	9.0499𝐸05	4.2446𝐸−11	1.5600𝐸−24
				STD	2.8370𝐸03	6.7104𝐸03	1.0253𝐸06	1.2930𝐸−10	6.9785𝐸−24
				Best	1.6463𝐸01	2.0516𝐸02	1.8730𝐸02	1.49990𝐸−16	1.3765𝐸−47
				Success	0/20	0/20	0/20	20/20	20/20
				Time	122.748646	125.154349	78.809270	0.273780	0.236129
18	Sinusoidal	30	−3.5	Ave.	−4.2587𝐸−01	−3.7898𝐸−01	−2.449	−3.1030	−3.1030
				STD	2.6632𝐸−01	1.9791𝐸−01	1.0203	5.0473𝐸−05	1.9436𝐸−14
				Best	−1.1922	−8.3111𝐸−01	−3.3087	−3.1032	−3.1030
				Success	20/20	20/20	20/20	20/20	20/20
				Time	0.204559	0.240200	0.234205	0.200361	0.217635

Dim. denotes dimension. Opt. denotes optimum value.