Research Article

Multipopulation Management in Evolutionary Algorithms and Application to Complex Warehouse Scheduling Problems

Table 4

Wilcoxon test results for pairwise algorithm comparisons. If the difference between the algorithms is statistically significant, the pairs are marked as follows: “x-o” shows that the left algorithm is better than the right one; “o-x” shows that the right algorithm is better than the left one. The B/S/W row at the bottom shows the total scores, where “B” denotes the number of times the left algorithm performs better, “S” denotes the number of times the two algorithms perform the same, and “W” denotes the number of times the left algorithm performs worse than the right one.

FunctionS-SGA versus M-SGAS-PBIL versus M-PBILS-SaDE versus M-SaDES-PSO2011 versus M-PSO2011

F1o-xo-xo-xo-x
F2o-x
F3o-xo-x
F4o-xo-xo-x
F5o-xo-xo-x
F6o-xx-oo-xo-x
F7o-xo-xo-xo-x
F8o-xo-xo-xo-x
F9o-xo-xo-x
F10o-xo-xo-x
F11x-oo-xo-xo-x
F12o-xo-xo-xo-x
F13o-xo-xo-xo-x
F14o-xo-x
F15o-xo-x
F16o-xo-xo-x
F17o-xo-xo-xo-x
F18o-xo-xo-xo-x
F19o-xo-xo-x
F20o-xo-xo-x
F21o-xo-xo-xo-x
F22o-xo-xo-xx-o
F23x-oo-xo-x
F24o-xo-xo-xo-x
F25o-xo-xo-xo-x
F26o-x
F27o-xo-xo-xo-x
F28o-xo-xo-xo-x

B/S/W 1/7/20 2/3/23 0/5/23 1/5/22