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Scheduling to minimize release‐time resource consumption and tardiness penalties

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  • Chung‐Lun Li
  • Edward C. Sewell
  • T. C. E. Cheng

Abstract

We consider the problem of scheduling a set of jobs with a common due‐date on a single‐machine where the release time of a job is related to the amount of resource consumed. The objective is to minimize the total resource consumption and the total tardiness. While the problem is strongly NP‐hard in general, we discuss two different special cases for which special properties are identified and used to develop efficient pseudo‐polynomial time algorithms. © 1995 John Wiley & Sons, Inc.

Suggested Citation

  • Chung‐Lun Li & Edward C. Sewell & T. C. E. Cheng, 1995. "Scheduling to minimize release‐time resource consumption and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(6), pages 949-966, September.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:6:p:949-966
    DOI: 10.1002/1520-6750(199509)42:63.0.CO;2-3
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    References listed on IDEAS

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    1. Van Wassenhove, Luk N. & Baker, Kenneth R., 1982. "A bicriterion approach to time/cost trade-offs in sequencing," European Journal of Operational Research, Elsevier, vol. 11(1), pages 48-54, September.
    2. Li, Chung-Lun, 1995. "Scheduling to minimize the total resource consumption with a constraint on the sum of completion times," European Journal of Operational Research, Elsevier, vol. 80(2), pages 381-388, January.
    3. R. G. Vickson, 1980. "Choosing the Job Sequence and Processing Times to Minimize Total Processing Plus Flow Cost on a Single Machine," Operations Research, INFORMS, vol. 28(5), pages 1155-1167, October.
    4. Awi Federgruen & Gur Mosheiov, 1993. "Simultaneous optimization of efficiency and performance balance measures in single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(7), pages 951-970, December.
    5. 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.
    6. Janiak, Adam, 1991. "Single machine scheduling problem with a common deadline and resource dependent release dates," European Journal of Operational Research, Elsevier, vol. 53(3), pages 317-325, August.
    7. 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.
    8. Nicholas G. Hall & Marc E. Posner, 1991. "Earliness-Tardiness Scheduling Problems, I: Weighted Deviation of Completion Times About a Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 836-846, October.
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    Cited by:

    1. Yiyo Kuo & Sheng-I Chen & Yen-Hung Yeh, 2020. "Single machine scheduling with sequence-dependent setup times and delayed precedence constraints," Operational Research, Springer, vol. 20(2), pages 927-942, June.

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