An Adaptive Bacterial Foraging Optimization Algorithm with Lifecycle and Social Learning

Table 3

Error values obtained by the BFOLS, BFO, PSO, and GA algorithms with dimension of 20.

Function		BFOLS	BFO	PSO	GA
𝑓1	Mean	𝟔.𝟖𝟗𝟗𝟒𝟒𝐞−𝟎𝟎𝟖	6.17635𝑒−001	3.76236𝑒−006	6.61625𝑒−001
	Std	𝟒.𝟑𝟕𝟒𝟕𝟑𝐞−𝟎𝟎𝟖	1.94300𝑒−001	4.85485𝑒−006	2.34433𝑒−001
𝑓2	Mean	𝟐.𝟑𝟔𝟒𝟑𝟗𝐞+𝟎𝟎𝟏	2.02447𝑒+003	2.49117𝑒+001	6.56345𝑒+002
	Std	2.39321𝑒+001	8.62087𝑒+002	𝟐.𝟏𝟐𝟎𝟖𝟏𝐞+𝟎𝟎𝟏	4.55687𝑒+002
𝑓3	Mean	𝟏.𝟎𝟗𝟑𝟏𝟕𝐞+𝟎𝟎𝟏	4.94922𝑒+002	3.35838𝑒+001	6.80152𝑒+001
	Std	𝟓.𝟗𝟎𝟐𝟗𝟏𝐞+𝟎𝟎𝟎	6.74151𝑒+001	1.07949𝑒+001	1.77908𝑒+001
𝑓4	Mean	𝟏.𝟐𝟗𝟔𝟏𝟑𝐞−𝟎𝟎𝟑	1.95483𝑒+001	1.10071𝑒+000	1.86919𝑒+001
	Std	𝟐.𝟔𝟎𝟑𝟐𝟏𝐞−𝟎𝟎𝟑	3.71818𝑒−001	9.14650𝑒−001	1.30767𝑒−000
𝑓5	Mean	𝟐.𝟗𝟐𝟕𝟓𝟒𝐞−𝟎𝟎𝟐	3.00705𝑒+000	3.89587𝑒−002	3.11937𝑒+000
	Std	𝟐.𝟏𝟐𝟖𝟕𝟔𝐞−𝟎𝟎𝟐	4.5062𝑒−001	3.13277𝑒−002	8.55760𝑒−001
𝑓6	Mean	𝟖.𝟐𝟎𝟎𝟓𝟐𝐞−𝟎𝟎𝟒	5.43634𝑒+001	1.39941𝑒−001	4.92696𝑒+000
	Std	𝟐.𝟎𝟖𝟒𝟏𝟔𝐞−𝟎𝟎𝟒	1.20626𝑒+001	1.87068𝑒−001	1.09457𝑒+000
𝑓7	Mean	𝟐.𝟎𝟎𝟒𝟒𝟐𝐞−𝟎𝟎𝟓	7.63447𝑒+002	6.53663𝑒+001	9.33638𝑒+001
	Std	𝟏.𝟎𝟏𝟓𝟏𝟖𝐞−𝟎𝟎𝟓	2.85716𝑒+002	1.47148𝑒+002	2.21348𝑒+001
𝑓8	Mean	𝟏.𝟗𝟔𝟕𝟕𝟑𝐞+𝟎𝟎𝟏	1.00992𝑒+004	2.58670𝑒+002	1.61144𝑒+004
	Std	𝟑.𝟑𝟐𝟗𝟒𝟓𝐞+𝟎𝟎𝟏	2.54700𝑒+003	5.37769𝑒+002	6.68451𝑒+003
𝑓9	Mean	𝟑.𝟐𝟎𝟕𝟏𝟗𝐞+𝟎𝟎𝟏	1.80082𝑒+007	2.23033𝑒+005	1.41913𝑒+005
	Std	𝟐.𝟖𝟒𝟓𝟏𝟗𝐞+𝟎𝟎𝟏	2.24514𝑒+007	7.69626𝑒+005	1.29572𝑒+005
𝑓10	Mean	𝟏.𝟕𝟒𝟓𝟔𝟒𝐞−𝟎𝟎𝟏	6.12735𝑒+001	8.44887𝑒+000	1.94291𝑒+001
	Std	𝟐.𝟑𝟗𝟐𝟏𝟖𝐞−𝟎𝟎𝟏	3.07002𝑒+001	6.86895𝑒+000	6.31473𝑒+000
𝑓11	Mean	𝟐.𝟎𝟕𝟐𝟎𝟑𝐞+𝟎𝟎𝟏	2.08745𝑒+001	2.07481𝑒+001	2.08665𝑒+001
	Std	8.27531𝑒−002	𝟓.𝟕𝟔𝟕𝟖𝟔𝐞−𝟎𝟎𝟐	6.78494𝑒−002	5.81818𝑒−002
𝑓12	Mean	7.99944𝑒+001	1.86911𝑒+004	9.86338𝑒+001	𝟓.𝟎𝟎𝟎𝟖𝟒𝐞+𝟎𝟎𝟏
	Std	2.08287𝑒+001	2.49192𝑒+001	1.75115𝑒+001	𝟏.𝟎𝟏𝟓𝟔𝟓𝐞+𝟎𝟎𝟏
𝑓13	Mean	𝟏.𝟒𝟓𝟒𝟗𝟏𝐞+𝟎𝟎𝟐	3.06702𝑒+002	1.74580𝑒+002	1.77517𝑒+002
	Std	2.95067𝑒+001	3.87859𝑒+001	3.93332𝑒+001	𝟐.𝟕𝟗𝟏𝟒𝟖𝐞+𝟎𝟎𝟏
𝑓14	Mean	1.90236𝑒+001	2.04888𝑒+001	𝟏.𝟒𝟒𝟒𝟎𝟑𝐞+𝟎𝟎𝟏	2.51640𝑒+001
	Std	2.13827𝑒+000	1.14255𝑒+000	2.83690𝑒+000	𝟕.𝟓𝟕𝟓𝟖𝟒𝐞−𝟎𝟎𝟏