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An improved heuristic for the single-machine, weighted-tardiness problem

Author

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  • Holsenback, J. E.
  • Russell, R. M.
  • Markland, R. E.
  • Philipoom, P. R.

Abstract

This research considers the single machine, total weighted-tardiness problem. We propose a method for modifying due dates that eases the construction of optimal schedules. We employ due date modification in a new heuristic that is fast, solving 50-job problems on an IBM 4381 in at most 0.14 CPU s. The heuristic is shown to be superior to previously known heuristics in minimizing total weighted-tardiness, especially in settings where 40% or more of the jobs can be completed without tardiness on the single machine.

Suggested Citation

  • Holsenback, J. E. & Russell, R. M. & Markland, R. E. & Philipoom, P. R., 1999. "An improved heuristic for the single-machine, weighted-tardiness problem," Omega, Elsevier, vol. 27(4), pages 485-495, August.
    • Handle: RePEc:eee:jomega:v:27:y:1999:i:4:p:485-495
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    References listed on IDEAS

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    1. Robert McNaughton, 1959. "Scheduling with Deadlines and Loss Functions," Management Science, INFORMS, vol. 6(1), pages 1-12, October.
    2. Joel Shwimer, 1972. "On the N-Job One-Machine, Sequence-Independent Scheduling Problem with Tardiness Penalties: A Branch-Bound Solution," Management Science, INFORMS, vol. 18(6), pages 301-313, February.
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    5. A. H. G. Rinnooy Kan & B. J. Lageweg & J. K. Lenstra, 1975. "Minimizing Total Costs in One-Machine Scheduling," Operations Research, INFORMS, vol. 23(5), pages 908-927, October.
    6. Albert Schild & Irwin J. Fredman, 1961. "On Scheduling Tasks with Associated Linear Loss Functions," Management Science, INFORMS, vol. 7(3), pages 280-285, April.
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    Cited by:

    1. Valente, Jorge M.S., 2007. "Improving the performance of the ATC dispatch rule by using workload data to determine the lookahead parameter value," International Journal of Production Economics, Elsevier, vol. 106(2), pages 563-573, April.
    2. Maria Raquel C. Costa & Jorge M. S. Valente & Jeffrey E. Schaller, 2020. "Efficient procedures for the weighted squared tardiness permutation flowshop scheduling problem," Flexible Services and Manufacturing Journal, Springer, vol. 32(3), pages 487-522, September.
    3. Cheng, T. C. E. & Ng, C. T. & Yuan, J. J. & Liu, Z. H., 2005. "Single machine scheduling to minimize total weighted tardiness," European Journal of Operational Research, Elsevier, vol. 165(2), pages 423-443, September.

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