Research Article

MIP Models and Hybrid Algorithms for Simultaneous Job Splitting and Scheduling on Unrelated Parallel Machines

Table 8

The comparison of solution methods.

 # of Job# of MachineNon job splitting situationJob splitting situation
MIP0GALAMIP3GAspLAGAspLAMIP
Makespan ValueElapsed Time (second)Makespan ValueElapsed Time (second)Makespan ValueElapsed Time (second)Makespan ValueElapsed Time (second)Makespan ValueElapsed Time (second)

6239033903390545390939014
642353235423411062341323416
72484234844470.535172470.513470.5204
742583258524572002452224526
824942324945>8640049416494245
8426462647264800962642726429
9262721206276>864006271962745394
9434563453459>864003313033138376
102647281446477>864006472864729842
1043605862636011>86400352.540>86400