Abstract
We study the optimality of the very practical policy of equal allocation of jobs to batches in batch scheduling problems on an m-machine open shop. The objective is minimum makespan. We assume unit processing time jobs, machine-dependent setup times and batch availability. We show that equal allocation is optimal for a two-machine and a three-machine open shop. Although, this policy is not necessarily optimal for larger size open shops, it is shown numerically to produce very close-to-optimal schedules.
Original language | English |
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Pages (from-to) | 646-652 |
Number of pages | 7 |
Journal | Journal of the Operational Research Society |
Volume | 63 |
Issue number | 5 |
DOIs | |
State | Published - May 2012 |
Keywords
- batch scheduling
- makespan
- open shop