Single machine scheduling with assignable due dates to minimize maximum and total late work

Jan-Erik Justkowiak, Sergey Kovalev, Mikhail Y. Kovalyov and Erwin Pesch

European Journal of Operational Research, 2023, vol. 308, issue 1, 76-83

Abstract: A single machine scheduling problem with assignable job due dates to minimize total late work has recently been introduced by Mosheiov, Oron, and Shabtay (2021). The problem was proved NP-hard in the ordinary sense, and no solution algorithm was proposed. In this note, we present two pseudo-polynomial dynamic programming algorithms and an FPTAS for this problem. Besides, we introduce a new single machine scheduling problem to minimize maximum late work of jobs with assignable due dates. We develop an O(nlogn) time algorithm for it, where n is the number of jobs. An optimal solution value of this new problem is a lower bound for the optimal value of the total late work minimization problem, and it is used in the FPTAS.

Keywords: Scheduling; Single machine; Late work; Assignable due dates; FPTAS (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:308:y:2023:i:1:p:76-83

DOI: 10.1016/j.ejor.2022.10.047

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