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Single‐machine scheduling to minimize absolute deviation of completion times from a common due date

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  • Wlodzimierz Szwarc

Abstract

The article considers a single‐machine n‐job scheduling problem to minimize the sum of absolute lateness given a common due date. Two models are defined depending on whether the start time t0 of schedules is arbitrary or fixed. Conditions are provided when those two models coincide. The developed branch‐and‐bound procedure is tested on nine known examples from the literature (6 ⩽ n ⩽ 14) and 90 medium‐size random problems (15 ⩽ n ⩽ 25) with a fixed t0.

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  • Wlodzimierz Szwarc, 1989. "Single‐machine scheduling to minimize absolute deviation of completion times from a common due date," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 663-673, October.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:5:p:663-673
    DOI: 10.1002/1520-6750(198910)36:53.0.CO;2-X
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    References listed on IDEAS

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    1. Uttarayan Bagchi & Robert S. Sullivan & Y. L. Chang, 1986. "Minimizing mean absolute deviation of completion times about a common due date," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(2), pages 227-240, May.
    2. John J. Kanet, 1981. "Minimizing the average deviation of job completion times about a common due date," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(4), pages 643-651, December.
    3. Nicholas G. Hall, 1986. "Single‐ and multiple‐processor models for minimizing completion time variance," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(1), pages 49-54, February.
    4. Hamilton Emmons, 1987. "Scheduling to a common due date on parallel uniform processors," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 803-810, December.
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    1. X. Cai & F. S. Tu, 1996. "Scheduling jobs with random processing times on a single machine subject to stochastic breakdowns to minimize early‐tardy penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1127-1146, December.
    2. Wlodzimierz Szwarc, 1993. "Adjacent orderings in single‐machine scheduling with earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(2), pages 229-243, March.
    3. X. Cai & S. Zhou, 1997. "Scheduling stochastic jobs with asymmetric earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(6), pages 531-557, September.

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