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Scheduling with earliness and tardiness penalties

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  • Michael C. Ferris
  • Milan Vlach

Abstract

We show that the deterministic nonpreemptive scheduling problem with earliness and tardiness penalties can be solved in polynomial time for certain forms of an objective function provided that a certain optimization problem can be solved. We give instances where this problem has a solution and show that this generalizes several results from the literature. These results do not require symmetric penalization and the penalty functions need only be lower semicontinuous.

Suggested Citation

  • Michael C. Ferris & Milan Vlach, 1992. "Scheduling with earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 229-245, March.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:2:p:229-245
    DOI: 10.1002/1520-6750(199203)39:23.0.CO;2-Z
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    References listed on IDEAS

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    1. 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.
    2. Sankaran Lakshminarayan & Ram Lakshmanan & Robert L. Papineau & Rene Rochette, 1978. "Technical Note—Optimal Single-Machine Scheduling with Earliness and Tardiness Penalties," Operations Research, INFORMS, vol. 26(6), pages 1079-1082, December.
    3. Alan G. Merten & Mervin E. Muller, 1972. "Variance Minimization in Single Machine Sequencing Problems," Management Science, INFORMS, vol. 18(9), pages 518-528, May.
    4. Jeffrey B. Sidney, 1977. "Optimal Single-Machine Scheduling with Earliness and Tardiness Penalties," Operations Research, INFORMS, vol. 25(1), pages 62-69, February.
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    Cited by:

    1. Yeong‐Dae Kim & Candace Arai Yano, 1994. "Minimizing mean tardiness and earliness in single‐machine scheduling problems with unequal due dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(7), pages 913-933, December.

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