Research Article

A Two-Stage Three-Machine Flow Shop Assembly Problem Mixed with a Controllable Number and Sum-of-Processing Times-Based Learning Effect by Simulated Annealing Algorithms

Table 9

Pairwise comparison of nine algorithms for the small size number of jobs.

Small n
AlgorithmStatistic value

JS_max vs. JS_min8.5999<0.0001
JS_max vs. JS_mean1.88430.9218
JS_max vs. JS_maxpi5.30950.0054
JS_max vs. JS_minpi7.7925<0.0001
JS_max vs. JS_meanpi6.9494<0.0001
JS_max vs. SA_max8.9241<0.0001
JS_max vs. SA_min8.9268<0.0001
JS_max vs. SA_mean8.9231<0.0001
JS_min vs. JS_mean8.7717<0.0001
JS_min vs. JS_maxpi8.8692<0.0001
JS_min vs. JS_minpi5.06450.0103
JS_min vs. JS_meanpi8.8938<0.0001
JS_min vs. SA_max8.9239<0.0001
JS_min vs. SA_min8.9267<0.0001
JS_min vs. SA_mean8.9229<0.0001
JS_mean vs. JS_maxpi4.34350.0547
JS_mean vs. JS_minpi8.6249<0.0001
JS_mean vs. JS_meanpi5.95890.0008
JS_mean vs. SA_max8.9246<0.0001
JS_mean vs. SA_min8.9273<0.0001
JS_mean vs. SA_mean8.9236<0.0001
JS_maxpi vs. JS_minpi8.7224<0.0001
JS_maxpi vs. JS_meanpi1.78660.9418
JS_maxpi vs. SA_max8.9243<0.0001
JS_maxpi vs. SA_min8.9270<0.0001
JS_maxpi vs. SA_mean8.9233<0.0001
JS_minpi vs. JS_meanpi8.8449<0.0001
JS_minpi vs. SA_max8.9239<0.0001
JS_minpi vs. SA_min8.9267<0.0001
JS_minpi vs. SA_mean8.9229<0.0001
JS_meanpi vs. SA_max8.9244<0.0001
JS_meanpi vs. SA_min8.9272<0.0001
JS_meanpi vs. SA_mean8.9234<0.0001
SA_max vs. SA_min0.62781.0000
SA_max vs. SA_mean0.47901.0000
SA_min vs. SA_mean1.17950.9959