A Multistrategy Optimization Improved Artificial Bee Colony Algorithm

Table 2

Results comparison of 10 test functions of 3 algorithms.

Function	Algorithm	Best	Worst	Mean	Std.
𝑓1	ABC	8.85038𝑒−015	7.93808𝑒−005	2.65944𝑒−006	1.44905𝑒−005
	PABC	2.50765𝑒−015	4.22993𝑒−014	9.22438𝑒−015	8.65892𝑒−015
	IMABC	3.48561𝑒−017	8.9191𝑒−017	6.2547𝑒−017	1.33411𝑒−017
𝑓2	ABC	5.90141	44.6327	18.4201	10.1225
	PABC	0.185485	7.19489	1.54921	1.72969
	IMABC	0.000204645	0.00921194	0.00381647	0.00285877
𝑓3	ABC	4.44089𝑒−015	3.56306𝑒−009	1.32808𝑒−010	6.48804𝑒−010
	PABC	4.996𝑒−015	1.44799𝑒−010	7.14078𝑒−012	2.67773𝑒−011
	IMABC	0	0	0	0
𝑓4	ABC	1.20019𝑒−008	11.6005	2.66884	2.94451
	PABC	7.42517𝑒−013	1.32277𝑒−005	5.01149𝑒−007	2.40813𝑒−006
	IMABC	0	0	0	0
𝑓5	ABC	6.59917𝑒−013	1.04211𝑒−010	9.28022𝑒−012	1.86668𝑒−011
	PABC	4.21885𝑒−013	2.06368𝑒−011	4.90198𝑒−012	4.5731𝑒−012
	IMABC	8.88178𝑒−016	2.66454𝑒−015	2.54611𝑒−015	6.48634𝑒−016
𝑓6	ABC	0.000957132	0.259845	0.0545307	0.0597714
	PABC	1.18297𝑒−013	3.51652𝑒−009	5.77724𝑒−010	9.57809𝑒−010
	IMABC	6.08383𝑒−021	1.4873𝑒−018	3.51197𝑒−019	2.97612𝑒−019
𝑓7	ABC	−837.767	−826.26	−833.611	3.18261
	PABC	−730.356	−730.356	−730.356	3.46891𝑒−013
	IMABC	−837.966	−837.966	−837.966	0
𝑓8	ABC	2.37327	6.15694	4.09479	1.21718
	PABC	0.0443285	0.419608	0.200788	0.142808
	IMABC	2.99468𝑒−016	5.48062𝑒−016	4.18311𝑒−016	8.39077𝑒−017
𝑓9	ABC	4.85217𝑒−005	4.95895𝑒−005	4.87645𝑒−005	3.21009𝑒−007
	PABC	4.84822𝑒−005	4.86088𝑒−005	4.85033𝑒−005	3.7978𝑒−008
	IMABC	4.84822𝑒−005	4.84822𝑒−005	4.84822𝑒−005	4.03232𝑒−018
𝑓10	ABC	0.000235347	0.0851231	0.0240707	0.0235249
	PABC	8.98791𝑒−011	8.1512𝑒−005	6.98519𝑒−006	1.63762𝑒−005
	IMABC	0	0	0	0