A Novel Self-Adaptive Harmony Search Algorithm

Table 5

The descriptive statistical result of the relative errors of the NSHS algorithm using three types of the initial search ranges.

Function	The whole domain		The left part		The right part
	Mean	Std.	Mean	Std.	Mean	Std.
f1	4.10𝐸−07	2.00𝐸−07	3.97𝐸−07	2.35𝐸−07	4.67𝐸−07	4.34𝐸−07
f2	7.96𝐸−01	2.34𝐸+00	6.64𝐸−01	2.30𝐸+00	1.20𝐸−01	1.90𝐸−01
f3	4.88𝐸−06	2.72𝐸−06	4.87𝐸−06	3.20𝐸−06	4.73𝐸−06	2.64𝐸−06
f4	4.62𝐸−05	1.16𝐸−05	4.75𝐸−05	1.20𝐸−05	4.77𝐸−05	1.40𝐸−05
f5	1.46𝐸−04	3.73𝐸−05	1.39𝐸−04	4.14𝐸−05	1.29𝐸−04	3.29𝐸−05
f6	1.12𝐸−07	7.03𝐸−08	1.48𝐸−07	1.68𝐸−07	1.21𝐸−07	6.96𝐸−08
f7	6.70𝐸−06	1.45𝐸−06	7.06𝐸−06	1.59𝐸−06	6.47𝐸−06	1.82𝐸−06
f8	4.08𝐸−09	4.51𝐸−09	4.22𝐸−09	6.34𝐸−09	9.48𝐸−09	1.96𝐸−08
f9	1.18𝐸−04	8.47𝐸−05	1.23𝐸−04	6.71𝐸−05	1.16𝐸−04	7.40𝐸−05
f10	1.49𝐸−03	2.44𝐸−03	1.44𝐸−03	2.08𝐸−03	5.38𝐸−04	1.14𝐸−03
f11	3.87𝐸−04	5.90𝐸−05	3.98𝐸−04	5.71𝐸−05	3.90𝐸−04	4.95𝐸−05
f12	1.84𝐸−07	1.64𝐸−07	1.49𝐸−07	1.39𝐸−07	1.90𝐸−07	2.35𝐸−07
f13	2.86𝐸−04	2.09𝐸−04	2.99𝐸−04	1.81𝐸−04	2.82𝐸−04	1.88𝐸−04
f14	6.86𝐸−06	5.36𝐸−06	5.06𝐸−06	3.60𝐸−06	5.53𝐸−06	5.02𝐸−06
f15	1.43𝐸−05	9.29𝐸−06	1.14𝐸−05	3.25𝐸−06	1.24𝐸−05	3.99𝐸−06
f16	1.01𝐸−04	5.61𝐸−05	9.12𝐸−05	3.53𝐸−05	1.24𝐸−04	8.51𝐸−05
f17	2.86𝐸−02	2.43𝐸−02	1.73𝐸−02	2.47𝐸−02	3.06𝐸−02	1.37𝐸−02
f18	8.42𝐸−03	4.12𝐸−03	9.03𝐸−03	3.92𝐸−03	8.45𝐸−03	3.72𝐸−03
Total	4.64𝐸−02	5.72𝐸−01	3.85𝐸−02	5.54𝐸−01	8.91𝐸−03	5.23𝐸−02

∗Each group has 30 samples and the experiment has totally 3 * 18 * 30 = 1620 samples.