Two-machine flowshop batching and scheduling

Two-machine flowshop batching and scheduling

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Article ID: iaor20052120
Country: Netherlands
Volume: 133
Issue: 1
Start Page Number: 149
End Page Number: 161
Publication Date: Jan 2005
Journal: Annals of Operations Research
Authors: ,
Keywords: heuristics
Abstract:

We consider in this paper a two-machine flowshop scheduling problem in which the first machine processes jobs individually while the second processes jobs in batches. The forming of each batch on the second machine incurs a constant setup time. The objective is to minimize the makespan. This problem was previously shown to be NP-hard in the ordinary sense. In this paper, we first present a strong NP-hardness result of the problem. We also identify a polynomially solvable case with either anticipatory or non-anticipatory setups. We then establish a property that an optimal solution for the special case is a lower bound for the general problem. To obtain near-optimal solutions for the general problem, we devise some heuristics. The lower bound is used to evaluate the quality of the heuristic solutions. Results of computational experiments reveal that the heuristics product solutions with small error ratios. They also suggest that the lower bound is close to the optimal solution.

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