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Scheduling to minimize maximum earliness and number of tardy jobs where machine idle time is allowed

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Listed:
  • M Azizoglu

    (Middle East Technical University)

  • M Koksalan

    (Middle East Technical University
    Purdue University, West Lafayette)

  • S K Koksalan

    (Middle East Technical University
    Purdue University, West Lafayette)

Abstract

We address the bicriteria problem of minimizing the number of tardy jobs and maximum earliness on a single machine where machine idle time is allowed. We show that the problem of minimizing the number of tardy jobs while maximum earliness is kept at its minimum value of zero is polynomially solvable. We present polynomial time algorithms for the maximum earliness problem subject to no tardy jobs and the maximum earliness problem for a given set of tardy jobs. Finally, we discuss the use of the latter algorithm in generating all efficient schedules.

Suggested Citation

  • M Azizoglu & M Koksalan & S K Koksalan, 2003. "Scheduling to minimize maximum earliness and number of tardy jobs where machine idle time is allowed," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 661-664, June.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:6:d:10.1057_palgrave.jors.2601478
    DOI: 10.1057/palgrave.jors.2601478
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    References listed on IDEAS

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    1. J. A. Hoogeveen, 1996. "Minimizing Maximum Promptness and Maximum Lateness on a Single Machine," Mathematics of Operations Research, INFORMS, vol. 21(1), pages 100-114, February.
    2. Michael R. Garey & Robert E. Tarjan & Gordon T. Wilfong, 1988. "One-Processor Scheduling with Symmetric Earliness and Tardiness Penalties," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 330-348, May.
    3. Nicholas G. Hall & Marc E. Posner & Chris N. Potts, 1998. "Scheduling with Finite Capacity Output Buffers," Operations Research, INFORMS, vol. 46(3-supplem), pages 84-97, June.
    4. Nicholas G. Hall & Marc E. Posner & Chris N. Potts, 1998. "Scheduling with Finite Capacity Input Buffers," Operations Research, INFORMS, vol. 46(3-supplem), pages 154-159, June.
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    Cited by:

    1. C Gagné & M Gravel & W L Price, 2005. "Using metaheuristic compromise programming for the solution of multiple-objective scheduling problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 687-698, June.
    2. J N D Gupta & A J Ruiz-torres & S Webster, 2003. "Minimizing maximum tardiness and number of tardy jobs on parallel machines subject to minimum flow-time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(12), pages 1263-1274, December.
    3. Wan, Guohua & Yen, Benjamin P.-C., 2009. "Single machine scheduling to minimize total weighted earliness subject to minimal number of tardy jobs," European Journal of Operational Research, Elsevier, vol. 195(1), pages 89-97, May.
    4. Federico Della Croce, 2016. "MP or not MP: that is the question," Journal of Scheduling, Springer, vol. 19(1), pages 33-42, February.

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