A Simple and Efficient Artificial Bee Colony Algorithm

Table 4

Comparison of NABC with other ABC algorithms.

Functions	GABC	I-ABC	PS-ABC	NABC	Significance
	Mean	Mean	Mean	Mean
𝑓1	6.26𝑒−16	𝟎.𝟎𝟎𝐞+𝟎𝟎	𝟎.𝟎𝟎𝐞+𝟎𝟎	5.43𝑒−16	.
𝑓2	9.36𝑒−16	𝟎.𝟎𝟎𝐞+𝟎𝟎	𝟎.𝟎𝟎𝐞+𝟎𝟎	6.24𝑒−15	.
𝑓3	1.09𝑒+04	1.43𝑒+04	𝟔.𝟏𝟏𝐞+𝟎𝟑	8.44𝑒+03	.
𝑓4	1.26𝑒+01	1.27𝑒−197	𝟎.𝟎𝟎𝐞+𝟎𝟎	5.79𝑒+00	.
𝑓5	7.48𝑒+00	2.64𝑒+01	1.59𝑒+00	𝟏.𝟒𝟓𝐞−𝟎𝟏	+
𝑓6	2.49𝑒−09	3.84𝑒−10	5.72𝑒−16	𝟎.𝟎𝟎𝐞+𝟎𝟎	+
𝑓7	1.56𝑒−01	1.96𝑒−02	2.15𝑒−02	𝟏.𝟕𝟐𝐞−𝟎𝟐	+
𝑓8	−12407.3	−12251.03	−12564.2	−𝟏𝟐𝟓𝟔𝟗.𝟓	+
𝑓9	3.31𝑒−02	𝟎.𝟎𝟎𝐞+𝟎𝟎	𝟎.𝟎𝟎𝐞+𝟎𝟎	𝟎.𝟎𝟎𝐞+𝟎𝟎	NA
𝑓10	7.78𝑒−10	𝟖.𝟖𝟖𝐞−𝟏𝟔	𝟖.𝟖𝟖𝐞−𝟏𝟔	1.07𝑒−13	.
𝑓11	6.96𝑒−04	𝟎.𝟎𝟎𝐞+𝟎𝟎	𝟎.𝟎𝟎𝐞+𝟎𝟎	1.11𝑒−16	.
𝑓12	5.85𝑒−16	7.11𝑒−12	5.53𝑒−16	𝟒.𝟔𝟕𝐞−𝟏𝟔	+