Hierarchical Swarm Model: A New Approach to Optimization

Table 6

Parameters of the test functions.

𝑓	Dimensions	Initial range	𝑥^∗	𝑓(𝑥^∗)
𝑓1	30	[−100,100]^𝐷	[0,0,…,0]	0
𝑓2	30	[−30,30]^𝐷	[1,1,…,1]	0
𝑓3	30	[−65.536,65.536]^𝐷	[0,0,…,0]	0
𝑓4	30	[−1,1]^𝐷	[0,0,…,0]	0
𝑓5	30	[−10,10]^𝐷	[0,0,…,0]	0
𝑓6	30	[−32.768,32.768]^𝐷	[0,0,…,0]	0
𝑓7	30	[−5.12,5.12]^𝐷	[0,0,…,0]	0
𝑓8	30	[−600,600]^𝐷	[0,0,…,0]	0
𝑓9	30	[−0.5,0.5]^𝐷	[0,0,…,0]	0
𝑓10	10	[−5,5]^𝐷	Predefined rand number distributed in the search range	0
𝑓11	120	[0,1]	[1,1,…,1]	0
𝑓12	120	[0,1]	[0,0,…,0]or[1,1,…,1]or[…,6∗0,…,6∗1,…]	0
𝑓13	120	[0,1]	[0,0,…,0]	0
𝑓14	30	[0,1]	[0,0,0,1,1,1,0,0,0,1,1,1,…]	0
𝑓15	60	[0,1]	[0,1,1,0,1,1,…]	0
𝑓16	60	[0,1]	[0,0,1,0,0,1,…]	0
𝑓17	200	[0,1]	Predefined rand number distributed in the search range	0