Table 20.

Comparisons for Himmelblau’s Function (Descriptive Statistics)

Algorithm	Best	Mean	Worst	Std Dev
CSA [69]	− 30,665.233	NA	NA	11.6231
PSO-GA [70]	− 30,665.5389	− 30,665.53697	− 30,665.48996	8.76E-03
ABC [71]	− 31,025.57569	− 31,025.55841	− 31,025.49205	0.015353
PPA [72]	− 30,665.54	NA	NA	NA
H-FPA [73]	− 31,025.5654	NA	NA	NA
OIO [77]	− 31,025.50178	− 31,024.5348	− 31,020.60517	1.2092
H-PSO-GA [78]	− 31,025.57471	− 31,025.55782	− 31,025.49205	0.01526
H-GSA-GA [82]	− 31,027.64076	− 31,026.07246	− 31,025.38705	0.01803
CSA [94]	− 30,665.538672	− 30,625.97242	− 30,561.19298	35.52345
Proposed Algorithm (PbA)	− 31,025.54684	− 30,986.3	− 30,642.48938	94.38