Cellular Harmony Search for Optimization Problems

Table 7

The effect of varying the number of neighbors on cHS for ten functions (𝑓₁−𝑓₁₀).

Function	NH = 4	NH = 8	NH = 12
Sphere	5.338𝐸−03	1.587𝐸−04	𝟏.𝟑𝟐𝐄−𝟎𝟒
	(2.819𝐸−02)	(5.907𝐸−05)	(𝟑.𝟐𝟗𝐄−𝟎𝟓)
Schwefel's 2.22	3.331𝐸−02	2.827𝐸−02	𝟐.𝟕𝟒𝐄−𝟎𝟐
	(3.789𝐸−03)	(3.017𝐸−03)	(𝟐.𝟓𝟒𝐄−𝟎𝟑)
Step	2.074𝐸−04	1.761𝐸−04	𝟏.𝟐𝟗𝐄−𝟎𝟒
	(1.339𝐸−04)	(2.058𝐸−04)	(𝟑.𝟒𝟐𝐄−𝟎𝟓)
Rosenbrock	1.169𝐸+02	1.329𝐸+02	𝟗.𝟖𝟗𝐄+𝟎𝟏
	(9.558𝐸+01)	(2.425𝐸+02)	(𝟖.𝟑𝟑𝐄+𝟎𝟏)
Rotated hyper-ellipsoid	1.945𝐸+00	1.119𝐸+00	𝟖.𝟒𝟐𝐄−𝟎𝟏
	(5.520𝐸+00)	(2.500𝐸+00)	(𝟏.𝟑𝟖𝐄+𝟎𝟎)
Schwefel's 2.26	−𝟏.𝟐𝟓𝟕𝐄+𝟎𝟒	−𝟏.𝟐𝟓𝟕𝐄+𝟎𝟒	−1.26𝐸+04
	(𝟏.𝟗𝟎𝟏𝐄+𝟎𝟎)	(2.371𝐸+00)	(1.19𝐸+00)
Rastrigin	3.548𝐸−02	𝟐.𝟎𝟐𝟏𝐄−𝟎𝟐	2.38𝐸−02
	(5.073𝐸−02)	(𝟒.𝟏𝟒𝟏𝐄−𝟎𝟑)	(2.85𝐸−02)
Ackley	2.901𝐸−02	𝟖.𝟔𝟗𝟖𝐄−𝟎𝟑	3.89𝐸−02
	(6.715𝐸−02)	(𝟏.𝟏𝟓𝟐𝐄−𝟎𝟑)	(1.69𝐸−01)
Griewank	7.530𝐸−01	7.870𝐸−01	𝟕.𝟒𝟒𝐄−𝟎𝟏
	(2.071𝐸−01)	(1.903𝐸−01)	(𝟐.𝟎𝟗𝐄−𝟎𝟏)
Six-Hump Camel-Back	−𝟏.𝟎𝟑𝟐𝐄+𝟎𝟎	−𝟏.𝟎𝟑𝟐𝐄+𝟎𝟎	−𝟏.𝟎𝟑𝟐𝐄+𝟎𝟎
	(5.473𝐸−11)	(𝟐.𝟖𝟐𝟏𝐄−𝟏𝟏)	(4.15𝐸−11)