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Table 3

Performance of MSA, HS and ICA for solving benchmark functions

Benchmark functionDimensionsGlobal optimumMSA
HS
ICA
Optimal valueCPU time (s)Optimal valueCPU time (s)Optimal valueCPU time (s)
Goldsten-Price 5.51 9.23 5.13 
McCormick −1.9132 −1.9132 4.97 −1.9132 8.36 −1.9132 6.92 
Rosenbrock 5.53 1.8 × 10−6 12.68 2.7 × 10−15 7.14 
Rosenbrock 10 5.92 1.43 16.46 0.055 10.24 
Rosenbrock 30 2.66 × 10−6 6.06 63.03 21.24 2.11 11.34 
Shekel −10.5364 −10.5321 5.53 −6.4619 11.62 −10.532 8.21 
Six-hump camel −1.0316 −1.0316 4.94 −1.0316 9.91 −1.0316 5.13 
Benchmark functionDimensionsGlobal optimumMSA
HS
ICA
Optimal valueCPU time (s)Optimal valueCPU time (s)Optimal valueCPU time (s)
Goldsten-Price 5.51 9.23 5.13 
McCormick −1.9132 −1.9132 4.97 −1.9132 8.36 −1.9132 6.92 
Rosenbrock 5.53 1.8 × 10−6 12.68 2.7 × 10−15 7.14 
Rosenbrock 10 5.92 1.43 16.46 0.055 10.24 
Rosenbrock 30 2.66 × 10−6 6.06 63.03 21.24 2.11 11.34 
Shekel −10.5364 −10.5321 5.53 −6.4619 11.62 −10.532 8.21 
Six-hump camel −1.0316 −1.0316 4.94 −1.0316 9.91 −1.0316 5.13 
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