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Heuristics for the single machine scheduling problem with early and quadratic tardy penalties

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  • Jorge M. S. Valente

    (LIACC/NIAAD, Faculdade de Economia, Universidade do Porto, Portugal)

Abstract

In this paper, we consider the single machine scheduling problem with linear earliness and quadratic tardiness costs, and no machine idle time. We propose several dispatching heuristics, and analyse their performance on a wide range of instances. The heuristics include simple scheduling rules, as well as a procedure that takes advantage of the strengths of these rules. We also consider linear early / quadratic tardy dispatching rules, and a greedy-type procedure. Extensive experiments were performed to determine appropriate values for the parameters required by some of the heuristics. The computational tests show that the best results are given by the linear early / quadratic tardy dispatching rule. This procedure is also quite efficient, and can quickly solve even very large instances.

Suggested Citation

  • Jorge M. S. Valente, 2006. "Heuristics for the single machine scheduling problem with early and quadratic tardy penalties," FEP Working Papers 234, Universidade do Porto, Faculdade de Economia do Porto.
    • Handle: RePEc:por:fepwps:234
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    References listed on IDEAS

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    1. John J. Kanet & V. Sridharan, 2000. "Scheduling with Inserted Idle Time: Problem Taxonomy and Literature Review," Operations Research, INFORMS, vol. 48(1), pages 99-110, February.
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    Cited by:

    1. Jorge M. S. Valente, 2007. "Beam search heuristics for the single machine scheduling problem with linear earliness and quadratic tardiness costs," FEP Working Papers 250, Universidade do Porto, Faculdade de Economia do Porto.

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    Keywords

    heuristics; scheduling; single machine; early penalties; quadratic tardy penalties; no machine idle time; dispatching rules;
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