Minimizing the number of tardy jobs with generalized due-dates and position-dependent processing times

Enrique Gerstl; Gur Mosheiov

doi:10.1007/s11590-024-02138-5

Minimizing the number of tardy jobs with generalized due-dates and position-dependent processing times

Enrique Gerstl^*, Gur Mosheiov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study a single machine scheduling problem with generalized due-dates and general position-dependent job processing times. The objective function is minimum number of tardy jobs. The problem is proved to be NP-hard in the strong sense. We introduce an efficient algorithm that solves medium size problems in reasonable running time. A simple and efficient heuristic is also introduced, which obtained the optimal solution in the vast majority of our tests.

Original language	English
Pages (from-to)	833-845
Number of pages	13
Journal	Optimization Letters
Volume	19
Issue number	4
DOIs	https://doi.org/10.1007/s11590-024-02138-5
State	Published - May 2025

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.

Keywords

Generalized due-dates
Minimum number of tardy jobs
Position-dependent processing times
Scheduling
Single machine

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10.1007/s11590-024-02138-5

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Minimizing the number of tardy jobs with generalized due-dates and position-dependent processing times

Abstract

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Keywords

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