An Improved Cockroach Swarm Optimization

Table 7

Comparison of standard deviation of mean global optimum values of RIO, HRIO, CSO, MCSO, and ICSO.

SN	Function	RIO	HRIO	CSO	MCSO	ICSO
1	Bohachevsky1	2.5963𝐸−05	3.0334𝐸−04	5.0332𝐸02	1.4392𝐸−08	0.0000
2	Bohachevsky2	3.0070𝐸−05	3.4047𝐸−04	1.7794𝐸03	2.9240𝐸−11	0.0000
3	Bohachevsky3	2.9141𝐸−05	2.3273𝐸−04	1.6739𝐸03	4.8670𝐸−14	0.0000
4	3 hump camel back	6.6769𝐸−02	2.8371𝐸−04	1.7137𝐸10	3.0201𝐸−10	𝟐.𝟓𝟒𝟓𝟕𝐄−𝟑𝟎
5	6 hump camel back	3.3322𝐸−01	3.1284𝐸−01	7.0503𝐸05	4.4391𝐸−08	𝟏.𝟑𝟑𝟐𝟓𝐄−𝟐𝟒
6	Easom	3.7518𝐸−02	2.1031𝐸−02	3.4470𝐸−01	1.4897𝐸−08	𝟒.𝟒𝟏𝟏𝟔𝐄−𝟏𝟕
7	Matyax	3.0244𝐸−05	2.6018𝐸−04	1.1247𝐸01	8.9347𝐸−13	𝟏.𝟖𝟏𝟐𝟓𝐄−𝟑𝟒
8	Schaffer1	7.0381𝐸−01	5.9214𝐸−01	7.5142𝐸−01	5.9575𝐸−07	𝟒.𝟏𝟑𝟐𝟓𝐄−𝟏𝟓
9	Schaffer12	2.6407𝐸−03	1.4451𝐸−03	5.3095	3.0328𝐸−04	𝟐.𝟗𝟒𝟖𝟑𝐄−𝟎𝟗
10	Sphere	2.4528𝐸−05	2.4018𝐸−04	8.1048𝐸02	6.7224𝐸−12	𝟏.𝟑𝟑𝟐𝟒𝐄−𝟑𝟑
11	Rastrigin	3.4436𝐸−05	3.0003𝐸−04	5.5728𝐸03	3.9456𝐸−10	0.0000
12	Rosenbrock	4.0528𝐸06	7.1150𝐸06	2.2713𝐸12	0.0000	0.0000
13	Ackley	3.0455𝐸−03	1.5671𝐸−02	5.8258	1.9149𝐸−05	𝟕.𝟗𝟒𝟒𝟏𝐄−𝟏𝟔
14	Quadric	2.7957𝐸−05	2.3635𝐸−04	3.3725𝐸−04	1.9751𝐸−12	𝟑.𝟐𝟐𝟏𝟖𝐄−𝟐𝟕
15	Schwefel2.22	1.3193𝐸02	1.2341𝐸02	1.2971𝐸55	1.1936𝐸−05	𝟏.𝟐𝟐𝟎𝟑𝐄−𝟏𝟓
16	Griewangk	3.7583𝐸−01	2.5454𝐸−01	3.6626𝐸01	1.4672𝐸−10	0.0000
17	Sumsquare	2.8370𝐸03	6.7104𝐸03	1.0253𝐸06	1.2930𝐸−10	𝟔.𝟗𝟕𝟖𝟓𝐄−𝟐𝟒
18	Sinusoidal	2.6632𝐸−01	1.9791𝐸−01	1.0203	5.0473𝐸−05	𝟏.𝟗𝟒𝟑𝟔𝐄−𝟏𝟒
19	Zakharov	3.8643𝐸03	5.1012𝐸03	2.2732𝐸19	8.8529𝐸−09	𝟏.𝟖𝟓𝟒𝟗𝐄−𝟐𝟓
20	Step	0.0000	0.0000	8.4815𝐸04	0.0000	0.0000
21	Powell	1.6248𝐸−03	6.1711𝐸−03	4.1180𝐸08	6.9959𝐸−12	𝟓.𝟔𝟖𝟐𝟒𝐄−𝟐𝟒
22	ST9	0.0000	0.0000	0.0000	0.0000	0.0000
23	ST17	0.0000	0.0000	0.0000	0.0000	0.0000
Number of good STD		2	2	2	4	23

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