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Minimising total tardiness for a single machine scheduling problem with family setups and resource constraints

Oliver Herr and Asvin Goel

European Journal of Operational Research, 2016, vol. 248, issue 1, 123-135

Abstract: This paper considers a single machine scheduling problem in which each job to be scheduled belongs to a family and setups are required between jobs belonging to different families. Each job requires a certain amount of resource that is supplied through upstream processes. Therefore, schedules must be generated in such a way that the total resource demand does not exceed the resource supply up to any point in time. The goal is to find a schedule minimising total tardiness with respect to the given due dates of the jobs. A mathematical formulation and a heuristic solution approach for two variants of the problem are presented. Computational experiments show that the proposed heuristic outperforms a state-of-the-art commercial mixed integer programming solver both in terms of solution quality and computation time.

Keywords: Single-machine scheduling; Family scheduling; Tardiness minimisation; Resource constraints (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:248:y:2016:i:1:p:123-135

DOI: 10.1016/j.ejor.2015.07.001

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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