An Adaptive Bacterial Foraging Optimization Algorithm with Lifecycle and Social Learning

Table 2

Error values obtained by BFOLS, BFO, PSO, and GA algorithms with dimension of 2.

Function		BFOLS	BFO	PSO	GA
𝑓1	Mean	1.66266𝑒−010	1.14309𝑒−005	𝟏.𝟒𝟖𝟒𝟐𝟕𝐞−𝟎𝟏𝟖	2.46555𝑒−003
	Std	2.35439𝑒−010	1.44400𝑒−005	𝟑.𝟑𝟖𝟒𝟑𝟕𝐞−𝟎𝟏𝟖	4.05650𝑒−003
𝑓2	Mean	4.7678𝑒−008	4.94397𝑒−003	𝟒.𝟐𝟔𝟎𝟔𝟐𝐞−𝟎𝟏𝟓	1.76305𝑒+000
	Std	5.69309𝑒−008	5.08761𝑒−003	𝟗.𝟓𝟔𝟓𝟎𝟖𝐞−𝟎𝟏𝟓	2.11319𝑒+000
𝑓3	Mean	1.40217𝑒−007	6.55588𝑒−001	𝟑.𝟎𝟕𝟗𝟎𝟐𝐞−𝟎𝟏𝟓	1.59279𝑒−001
	Std	1.46112𝑒−007	3.62200𝑒−001	𝟖.𝟖𝟑𝟕𝟗𝟖𝐞−𝟎𝟏𝟓	1.88468𝑒−001
𝑓4	Mean	1.90708𝑒−004	1.18787𝑒−001	𝟏.𝟎𝟔𝟔𝟒𝟔𝐞−𝟎𝟎𝟖	3.62955𝑒−001
	Std	1.11928𝑒−004	6.54950𝑒−002	𝟏.𝟑𝟔𝟏𝟏𝟏𝐞−𝟎𝟎𝟖	2.58463𝑒−001
𝑓5	Mean	𝟏.𝟏𝟕𝟔𝟑𝟖𝐞−𝟎𝟎𝟔	2.67927𝑒−002	2.92970𝑒−004	9.38310𝑒−002
	Std	𝟐.𝟓𝟑𝟓𝟒𝟔𝐞−𝟎𝟎𝟔	1.28042𝑒−002	1.36535𝑒−003	6.92769𝑒−002
𝑓6	Mean	1.60310𝑒−005	8.0626𝑒−003	𝟐.𝟒𝟕𝟏𝟕𝟏𝐞−𝟎𝟎𝟗	3.37681𝑒−002
	Std	1.36623𝑒−005	4.42736𝑒−003	𝟒.𝟏𝟕𝟎𝟖𝟖𝐞−𝟎𝟎𝟗	2.83197𝑒−002
𝑓7	Mean	4.52226𝑒−008	3.81605𝑒−003	𝟎	1.06661𝑒+001
	Std	3.93677𝑒−008	3.62032𝑒−003	𝟎	1.02199𝑒+001
𝑓8	Mean	5.57271𝑒−008	4.75829𝑒−003	𝟓.𝟔𝟖𝟒𝟑𝟒𝐞−𝟎𝟏𝟓	1.91645𝑒+000
	Std	8.51665𝑒−008	4.00577𝑒−003	𝟏.𝟕𝟑𝟒𝟒𝟔𝐞−𝟎𝟏𝟒	4.00548𝑒+000
𝑓9	Mean	𝟐.𝟏𝟓𝟗𝟗𝟒𝐞−𝟎𝟎𝟔	2.00971𝑒−001	6.66463𝑒−006	4.24819𝑒+001
	Std	𝟐.𝟐𝟏𝟏𝟓𝟕𝐞−𝟎𝟎𝟔	1.58643𝑒−001	2.94369𝑒−005	4.77406𝑒+001
𝑓10	Mean	𝟏.𝟔𝟒𝟒𝟒𝟓𝐞−𝟎𝟎𝟒	4.59019𝑒−002	1.66967𝑒−003	2.87956𝑒−001
	Std	𝟖.𝟕𝟖𝟐𝟖𝟏𝐞−𝟎𝟎𝟒	2.35742𝑒−002	3.37535𝑒−003	1.40164𝑒−001
𝑓11	Mean	1.19137𝑒+001	𝟗.𝟔𝟗𝟐𝟔𝟐𝐞+𝟎𝟎𝟎	1.66669𝑒+001	1.21447𝑒+001
	Std	9.89835𝑒+000	𝟓.𝟒𝟎𝟔𝟏𝟐𝐞+𝟎𝟎𝟎	7.5811𝑒+000	4.10647𝑒+000
𝑓12	Mean	𝟒.𝟔𝟑𝟏𝟎𝟎𝐞−𝟎𝟎𝟖	2.50975𝑒−001	1.98992𝑒−001	7.41804𝑒−001
	Std	𝟓.𝟔𝟒𝟗𝟎𝟖𝐞−𝟎𝟎𝟖	3.35611𝑒−001	4.04787𝑒−001	6.75828𝑒−001
𝑓13	Mean	𝟑.𝟒𝟗𝟓𝟏𝟖𝐞−𝟎𝟎𝟖	1.85255𝑒−001	3.31653𝑒−002	9.61984𝑒−001
	Std	𝟐.𝟑𝟏𝟐𝟔𝟐𝐞−𝟎𝟎𝟖	1.65632𝑒−001	1.81654𝑒−001	6.48141𝑒−001
𝑓14	Mean	1.81406𝑒−003	1.01915𝑒−001	𝟗.𝟐𝟓𝟐𝟑𝟕𝐞−𝟎𝟎𝟔	3.39486𝑒−001
	Std	6.56816𝑒−004	3.84900𝑒−002	𝟔.𝟓𝟔𝟏𝟎𝟖𝐞−𝟎𝟎𝟔	1.11498𝑒−001