Table 37 Comparison of CI–SAPF and CI–SAPF-CBO for truss structure problems using Wilcoxon’s rank sum test at \(\alpha =0.05\)

From: Cohort intelligence with self-adaptive penalty function approach hybridized with colliding bodies optimization algorithm for discrete and mixed variable constrained problems

  Test Examples 6-Bar 10-Bar 25-Bar 38-Bar 45-Bar 52-Bar 72-Bar
Case 1 Case 2 Case 1 Case 2 Case 1 Case 2
Function Values Test statistic − 3.991794863 1.559756882 0.547023741 − 0.066529914 1.611502371 − 2.468999045 − 0.850104462 − 0.680083569 − 3.481732186 − 2.602058874
P value 3.27875E-05 0.940591328 0.707818789 0.473477971 0.946464865 0.006774579 0.197633506 0.248225774 0.000249091 0.004633297
h-value 1 0 0 0 0 1 0 0 1 1
CPU Time Test statistic 3.932657161 4.050932565 0.243943019 0.650514718 − 1.951544155 − 1.463658116 1.604110158 − 1.374951564 3.208220316 0.532239315
P value 0.999957994 0.999974493 0.596362525 0.742320101 0.025496174 0.071643692 0.945655113 0.084573231 0.999332204 0.702719872
h-value 0 0 0 0 1 0 0 0 0 0
Function Evaluations Test statistic 2.29158594 2.956885084 1.079263056 0.79096676 0.051745489 − 2.735118703 1.012733141 0.133059829 − 0.813143398 0.680083569
P value 0.989035226 0.99844618 0.859764761 0.785518306 0.520634255 0.003117889 0.844406178 0.552926968 0.208067924 0.751774226
h-value 0 0 0 0 0 1 0 0 0 0