Table 7.

Test Mann–Whitney–Wilcoxon for native algorithms against their enhanced versions.

ID	PSO vs. S–PSO	BAT vs. S–BAT	BH vs. S–BH
MKP01	–	2.9581384$\times {10}^{-9}$	–
MKP02	0.00014	3.9834857$\times {10}^{-7}$	–
MKP03	–	6.1540486$\times {10}^{-6}$	–
MKP04	–	2.9163915$\times {10}^{-11}$	–
MKP05	–	6.6611161$\times {10}^{-12}$	–
MKP06	0.00573	1.5107026$\times {10}^{-12}$	–
MKP07	–	9.5509242$\times {10}^{-8}$	–
MKP08	–	1.4444445$\times {10}^{-2}$	–
MKP09	–	4.7065594$\times {10}^{-9}$	–
MKP10	–	3.1609970$\times {10}^{-11}$	–
MKP11	–	4.9246126$\times {10}^{-6}$	–
MKP12	–	1.1318991$\times {10}^{-10}$	6.6650018$\times {10}^{-13}$
MKP13	0.00908663513	5.1131699$\times {10}^{-9}$	4.8034849$\times {10}^{-8}$
MKP14	–	0.0037256	–
MKP15	–	0.0208799	1.5990313$\times {10}^{-5}$
MKP16	–	0.0049714	5.8935079$\times {10}^{-12}$
MKP17	2.6426213$\times {10}^{-9}$	6.6571193$\times {10}^{-12}$	–
MKP18	1.4444445$\times {10}^{-12}$	1.0824563$\times {10}^{-12}$	–
MKP19	2.9162619$\times {10}^{-9}$	6.6688876$\times {10}^{-12}$	–
MKP20	1.0321732$\times {10}^{-11}$	7.3535622$\times {10}^{-12}$	–