Research Article

Generalised Adaptive Harmony Search: A Comparative Analysis of Modern Harmony Search

Table 2

Average scores and standard deviations over 50 runs for 30-dimensional problems. All optimisers were allowed to run for 100,000 function evaluations, except when the Goldstein-Price polynomial was being minimised. In that case, 10,000 evaluations were allowed. The best results from each benchmark function are indicated in bold.

Ackley Griewank Rosenbrock Rastrigin Goldstein-Price

HS
 Best 0.0066 0.0322 30.7287 0.0142 6.8464
 Standard deviation 0.0006 0.0334 22.6459 0.0027 9.3353
 Hits 50 48 1 2 42
DLHS
 Best 0.8464 0.0170 32.7372 0.2003 6.2444
 Standard deviation 0.5173 0.0180 22.8117 0.4200 8.7724
 Hits 2 50 0 31 44
EHS
 Best 0.0008 0.0006 28.9183 15.4119 4.0809
 Standard deviation 0.0024 0.0022 10.7493 10.8267 5.2910
 Hits 50 50 0 5 48
AHS
 Best 0.0003 0.0042 26.5041 1.4819 3
 Standard deviation 0.0020 0.0111 0.5624 0.9055 0
 Hits 50 50 0 1 50

Goldstein-Price was implemented in two dimensions as it is only defined in two.