A Simple and Efficient Artificial Bee Colony Algorithm

Table 3

Comparison of NABC with evolution strategies.

Functions	CES	FES	ESLAT	CMA-ES	NABC	Significance
	Mean	Mean	Mean	Mean	Mean
𝑓1	𝟏.𝟕𝟎𝐞−𝟐𝟔	2.50𝑒−04	2.00𝑒−17	9.70𝑒−23	2.88𝑒−16	.
𝑓2	𝟖.𝟏𝟎𝐞−𝟐𝟎	6.00𝑒−02	3.80𝑒−05	4.20𝑒−11	1.37𝑒−15	.
𝑓3	3.38𝑒+02	1.40𝑒−03	6.10𝑒−06	𝟕.𝟏𝟎𝐞−𝟐𝟑	6.86𝑒+03	.
𝑓4	2.41𝑒+00	5.50𝑒−03	7.80𝑒−01	𝟓.𝟒𝟎𝐞−𝟏𝟐	4.30𝑒−01	.
𝑓5	2.77𝑒+01	3.33𝑒+01	1.93𝑒+00	4.00𝑒−01	𝟐.𝟔𝟐𝐞−𝟎𝟏	+
𝑓6	𝟎.𝟎𝟎𝐞+𝟎𝟎	𝟎.𝟎𝟎𝐞+𝟎𝟎	2.00𝑒−02	1.44𝑒+00	𝟎.𝟎𝟎𝐞+𝟎𝟎	NA
𝑓7	4.70𝑒−02	𝟏.𝟐𝟎𝐞−𝟎𝟐	3.90𝑒−01	2.30𝑒−01	1.38𝑒−02	+
𝑓8	−8000	−12556.4	−2300	−7637.1	−𝟏𝟐𝟓𝟔𝟗.𝟓	+
𝑓9	1.34𝑒+01	1.60𝑒−01	4.65𝑒+00	5.18𝑒+01	𝟎.𝟎𝟎𝐞+𝟎𝟎	+
𝑓10	6.00𝑒−13	1.20𝑒−02	1.80𝑒−08	6.90𝑒−12	𝟑.𝟐𝟓𝐞−𝟏𝟒	+
𝑓11	6.00𝑒−14	3.70𝑒−02	1.40𝑒−03	7.40𝑒−04	𝟏.𝟏𝟏𝐞−𝟏𝟔	+
𝑓12	1.46𝑒+00	2.80𝑒−06	1.50𝑒−12	1.20𝑒−04	𝟐.𝟓𝟐𝐞−𝟏𝟔	+