An Improved Cockroach Swarm Optimization

Table 5

Comparison of average performance of RIO, HRIO, CSO, MCSO, and ICSO.

SN	Function	RIO	HRIO	CSO	MCSO	ICSO	Optimum
1	Bohachevsky1	3.4405𝐸−05	3.2877𝐸−04	2.9893𝐸02	3.5153𝐸−09	0.0000	0
2	Bohachevsky2	4.2829𝐸−05	4.6703𝐸−04	9.0941𝐸02	8.4459𝐸−12	0.0000	0
3	Bohachevsky3	5.3479𝐸−05	4.7575𝐸−04	7.4284𝐸02	2.1388𝐸−14	0.0000	0
4	3 Hump camel back	1.4962𝐸−02	4.3021𝐸−04	5.003𝐸09	7.098𝐸−11	𝟓.𝟗𝟖𝟓𝟑𝐄−𝟑𝟏	0
5	6 Hump camel back	−4.3522𝐸−01	−4.7652𝐸−01	1.5763𝐸05	−1.0263𝐸−08	−𝟐.𝟗𝟕𝟗𝟖𝐄−𝟐𝟓	−1.03163
6	Easom	−𝟏	−𝟏	−4.3165𝐸−01	−𝟏	−𝟏	−1
7	Matyax	4.9470𝐸−05	3.2297𝐸−04	7.5712	2.6876𝐸−13	𝟒.𝟎𝟕𝟑𝟐𝐄−𝟑𝟓	0
8	Schaffer1	−1.9069	−1.6211	−2.9174𝐸−01	−𝟏	−𝟏	−1
9	Schaffer2	2.0179𝐸−03	1.6566𝐸−03	7.1618	3.3168𝐸−04	𝟐.𝟐𝟏𝟒𝟗𝐄−𝟎𝟗	0
10	Sphere	2.2168𝐸−05	1.6676𝐸−04	1.8123𝐸02	1.5201𝐸−12	𝟑.𝟑𝟒𝟒𝟖𝐄−𝟑𝟒	0
11	Rastrigin	3.8135𝐸−05	3.2150𝐸−04	3.6022𝐸03	9.1994𝐸−11	0.0000	0
12	Rosenbrock	2.5281𝐸06	3.3571𝐸06	9.5067𝐸11	𝟐.𝟗𝟎𝟎𝟎𝐄𝟎𝟏	𝟐.𝟗𝟎𝟎𝟎𝐄𝟎𝟏	0
13	Ackley	2.0001𝐸01	2.0005𝐸01	1.9222𝐸01	5.1593𝐸−06	𝟏.𝟎𝟔𝟓𝟏𝐄−𝟏𝟓	0
14	Quadric	2.4498𝐸−05	2.2711𝐸−04	3.4991𝐸−04	4.4754𝐸−13	𝟕.𝟐𝟏𝟖𝟑𝐄−𝟐𝟖	0
15	Schwefel2.22	2.3131𝐸02	2.4395𝐸02	2.9013𝐸54	6.3587𝐸−06	𝟔.𝟎𝟒𝟎𝟕𝐄−𝟏𝟔	0
16	Griewangk	7.9510𝐸−01	7.7746𝐸−01	2.6148𝐸01	3.3151𝐸−11	0.0000	0
17	Sumsquare	1.9818𝐸03	4.6771𝐸03	9.0499𝐸05	4.2446𝐸−11	𝟏.𝟓𝟔𝟎𝟎𝐄−𝟐𝟒	0
18	Sinusoidal	−4.2587𝐸−01	−3.7898𝐸−01	−2.449	−𝟑.𝟏𝟎𝟑𝟎	−𝟑.𝟏𝟎𝟑𝟎	−3.5
19	Zakharov	1.0167𝐸04	1.0216𝐸04	6.3663𝐸18	2.3878𝐸−09	𝟒.𝟏𝟓𝟕𝟗𝐄−𝟐𝟔	0
20	Step	0.0000	0.0000	2.0004𝐸04	0.0000	0.0000	0
21	Powell	1.8348𝐸−03	3.7434𝐸−03	1.0840𝐸08	2.6031𝐸−12	𝟏.𝟖𝟐𝟎𝟕𝐄−𝟐𝟒	0
22	ST9	0.0000	0.0000	0.0000	0.0000	0.0000	0
23	ST17	0.0000	0.0000	0.0000	0.0000	0.0000	0
Number of good optimums		4	4	2	7	23

ST9 denotes Storn's Tchebychev 9. ST17 denotes Storn's Tchebychev 17.