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Scheduling about a large common due date with tolerance to minimize mean absolute deviation of completion times

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  • Michael X. Weng
  • Jose A. Ventura

Abstract

In this article the problem of minimizing the mean absolute deviation (MAD) of job completion times about an unrestricted given common due date with tolerance in the n‐job, single‐machine scheduling environment is considered. We describe some optimality conditions and show that the unrestricted version of the MAD problem with an arbitrary due date tolerance is polynomial by proposing a polynomial‐time algorithm for identifying an optimal schedule. © 1994 John Wiley & Sons, Inc.

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  • Michael X. Weng & Jose A. Ventura, 1994. "Scheduling about a large common due date with tolerance to minimize mean absolute deviation of completion times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(6), pages 843-851, October.
    • Handle: RePEc:wly:navres:v:41:y:1994:i:6:p:843-851
    DOI: 10.1002/1520-6750(199410)41:63.0.CO;2-K
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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. Hoogeveen, J. A. & van de Velde, S. L., 1991. "Scheduling around a small common due date," European Journal of Operational Research, Elsevier, vol. 55(2), pages 237-242, November.
    3. 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.
    4. Nicholas G. Hall & Wieslaw Kubiak & Suresh P. Sethi, 1991. "Earliness–Tardiness Scheduling Problems, II: Deviation of Completion Times About a Restrictive Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 847-856, October.
    5. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    6. Raghavachari, M., 1986. "A V-shape property of optimal schedule of jobs about a common due date," European Journal of Operational Research, Elsevier, vol. 23(3), pages 401-402, March.
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    Cited by:

    1. Gur Mosheiov, 2000. "Minimizing mean absolute deviation of job completion times from the mean completion time," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(8), pages 657-668, December.
    2. Gur Mosheiov & Daniel Oron, 2004. "Due‐window assignment with unit processing‐time jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(7), pages 1005-1017, October.
    3. Wing‐Kwan Yeung & Ceyda Oğuz & Tai‐Chiu Edwin Cheng, 2009. "Two‐machine flow shop scheduling with common due window to minimize weighted number of early and tardy jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(7), pages 593-599, October.

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