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.
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Mor, B., Mosheiov, G. & Oron, D. The equal allocation policy in open shop batch scheduling. J Oper Res Soc 63, 646–652 (2012). https://doi.org/10.1057/jors.2011.64
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DOI: https://doi.org/10.1057/jors.2011.64