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Greedy randomized dispatching heuristics for the single machine scheduling problem with quadratic earliness and tardiness penalties

Author

Listed:
  • Jorge M. S. Valente

    (LIAAD, Faculdade de Economia, Universidade do Porto, Portugal)

  • Maria R. A. Moreira

    (EDGE, Faculdade de Economia, Universidade do Porto, Portugal)

Abstract

In this paper, we present greedy randomized dispatching heuristics for the single machine scheduling problem with quadratic earliness and tardiness costs, and no machine idle time. The several heuristic versions differ, on the one hand, on the strategies involved in the construction of the greedy randomized schedules. On the other hand, these versions also differ on whether they employ only a final improvement step, or perform a local search after each greedy randomized construction. The proposed heuristics were compared with existing procedures, as well as with optimum solutions for some instance sizes. The computational results show that the proposed procedures clearly outperform their underlying dispatching heuristic, and the best of these procedures provide results that are quite close to the optimum. The best of the proposed algorithms is the new recommended heuristic for large instances, as well as a suitable alternative to the best existing procedure for the larger of the middle size instances.

Suggested Citation

  • Jorge M. S. Valente & Maria R. A. Moreira, 2008. "Greedy randomized dispatching heuristics for the single machine scheduling problem with quadratic earliness and tardiness penalties," FEP Working Papers 286, Universidade do Porto, Faculdade de Economia do Porto.
    • Handle: RePEc:por:fepwps:286
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    References listed on IDEAS

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    2. Schaller, Jeffrey, 2002. "Minimizing the sum of squares lateness on a single machine," European Journal of Operational Research, Elsevier, vol. 143(1), pages 64-79, November.
    3. 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.
    4. Su, Ling-Huey & Chang, Pei-Chann, 1998. "A heuristic to minimize a quadratic function of job lateness on a single machine," International Journal of Production Economics, Elsevier, vol. 55(2), pages 169-175, July.
    5. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
    6. George Li, 1997. "Single machine earliness and tardiness scheduling," European Journal of Operational Research, Elsevier, vol. 96(3), pages 546-558, February.
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    Citations

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    Cited by:

    1. Jorge M. S. Valente & Maria R. A. Moreira & Alok Singh & Rui A. F. S. Alves, 2009. "Genetic algorithms for single machine scheduling with quadratic earliness and tardiness costs," FEP Working Papers 312, Universidade do Porto, Faculdade de Economia do Porto.

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    Keywords

    scheduling; single machine; early/tardy; quadratic penalties; greedy randomized dispatching rules;
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