Research Article

A P-Based Hybrid Evolutionary Algorithm for Vehicle Routing Problem with Time Windows

Table 4

Comparison with the results of PHEA-cs,-symp.

ā€‰ProblemsBSMBSWSSTDET

PHEA-cs,-sympr1071119.141126.371130.037.162207
r1091268.871280.361322.8123.783105
c108840.56893.1929.732.58562
c1091064.631094.261131.0128.987340
rc1011733.431746.111777.6118.254985
rc1051647.461656.51674.9211.216279
R2011434.711440.531457.7110.816597
R2101203.251225.011296.4339.994871
C201591.56657.78686.2740.5214673
C202643.23659.67668.2210.4510739
RC2011589.951603.711612.8812.568214
RC2081049.61063.171088.9914.118380

PHEAr1071091.751101.511110.87.963972
r1091183.041202.461218.8814.429728
c108840.56862.29894.8829.7518370
c109828.94865.16896.9837.2715832
rc1011650.291654.7216698.039856
rc1051602.341617.851629.4411.611725
R2011255.761284.051328.4238.7612434
R210939.37956.25967.515.516287
C201591.56591.56591.56026739
C202591.56591.56591.56028473
RC2011392.381402.231427.0815.2516298
RC208848.10867.04942.7812.7618472

The number of runs is 10. BS, MBS, WS, STD, and ET represent the best solution, worst solution, standard deviation, and elapsed time (in seconds), respectively.