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Batch sizing and just-in-time scheduling with common due date

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Abstract

In this paper, we address the optimal batch sizing and just-in-time scheduling problem where upper and lower bounds on the size of the batches are imposed. The objective is to find a feasible schedule that minimizes the sum of the weighted earliness and tardiness penalties as well as the setup costs, which involves the cost of creating a new batch. We present some structural properties of the optimal schedules and describe solving algorithms for the single machine problem.

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Correspondence to Öncü Hazır.

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This work has been partially financed by ANR under research contract LMCO/UPMC number C076095.

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Hazır, Ö., Kedad-Sidhoum, S. Batch sizing and just-in-time scheduling with common due date. Ann Oper Res 213, 187–202 (2014). https://doi.org/10.1007/s10479-012-1289-9

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  • DOI: https://doi.org/10.1007/s10479-012-1289-9

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