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A note on the scheduling problem with revised delivery times and job-dependent tardiness penalties

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  • Christos Koulamas

Abstract

This article considers the single-machine scheduling problem with revised delivery times and job-dependent tardiness penalties. It is shown that the exact dynamic programming algorithm for the simpler problem with job-independent tardiness penalties can be extended to the problem with job-dependent tardiness penalties. When the job-dependent tardiness penalties are bounded by a polynomial function of the number of jobs, the dynamic programming algorithm can be converted to a Fully Polynomial Time Approximation Scheme by implementing the “scaling the input” technique.

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  • Christos Koulamas, 2014. "A note on the scheduling problem with revised delivery times and job-dependent tardiness penalties," IISE Transactions, Taylor & Francis Journals, vol. 46(6), pages 619-622, June.
    • Handle: RePEc:taf:uiiexx:v:46:y:2014:i:6:p:619-622
    DOI: 10.1080/0740817X.2013.851435
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    Cited by:

    1. Koulamas, Christos & Kyparisis, George J., 2023. "A classification of dynamic programming formulations for offline deterministic single-machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 305(3), pages 999-1017.
    2. Christos Koulamas & George Steiner, 2021. "New results for scheduling to minimize tardiness on one machine with rejection and related problems," Journal of Scheduling, Springer, vol. 24(1), pages 27-34, February.

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