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

•Two problems of minimizing maximum late work and total late work in single machine scheduling are considered where due dates are assignable.•The problems have multiple applications in production and logistics.•The first problem is solved efficiently.•Two pseudo-polynomial dynamic programming algori...

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Bibliographic Details
Published in:European journal of operational research Vol. 308; no. 1; pp. 76 - 83
Main Authors: Justkowiak, Jan-Erik, Kovalev, Sergey, Kovalyov, Mikhail Y., Pesch, Erwin
Format: Journal Article
Language:English
Published: Elsevier B.V 01.07.2023
Subjects:
Assignable due dates
FPTAS
Late work
Scheduling
Single machine
Late work
Scheduling
Assignable due dates
FPTAS
Single machine
ISSN:0377-2217, 1872-6860
Online Access:Get full text
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Summary:•Two problems of minimizing maximum late work and total late work in single machine scheduling are considered where due dates are assignable.•The problems have multiple applications in production and logistics.•The first problem is solved efficiently.•Two pseudo-polynomial dynamic programming algorithms and an FPTAS are described for the latter.•Comprehensive computational results illustrate their excellent performance. 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.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2022.10.047