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Parallel machine scheduling problems considering regular measures of performance and machine cost

Author

Listed:
  • A J Ruiz-Torres

    (Universidad de Puerto Rico—Rio Piedras)

  • F J López

    (School of Business, Macon State College)

  • P J Wojciechowski

    (University of Texas at El Paso)

  • J C Ho

    (D. Abbott Turner College of Business Columbus State University)

Abstract

This research considers a broad range of scheduling problems in the parallel machines environment. Schedules are evaluated according to two independent components of the objective function: (1) machine cost consisting of a fixed cost and a variable cost; and (2) a regular measure of performance. This study is only one of a few that take the selection of machines among those available as a decision variable. For machine cost with concave functions, we derive the general characteristics of optimal solutions with respect to decisions on the number of machines to use and the way to load the machines. Our analysis is not restricted to the machine cost criterion, but may be extended to other measures with concave functions. Furthermore, we provide a Pareto efficient perspective in understanding the tradeoff between machine cost and any regular measure of performance.

Suggested Citation

  • A J Ruiz-Torres & F J López & P J Wojciechowski & J C Ho, 2010. "Parallel machine scheduling problems considering regular measures of performance and machine cost," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 849-857, May.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:5:d:10.1057_jors.2009.38
    DOI: 10.1057/jors.2009.38
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    References listed on IDEAS

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    1. Azizoglu, Meral & Kirca, Omer, 1998. "Tardiness minimization on parallel machines," International Journal of Production Economics, Elsevier, vol. 55(2), pages 163-168, July.
    2. György Dósa & Yong He, 2006. "Scheduling with machine cost and rejection," Journal of Combinatorial Optimization, Springer, vol. 12(4), pages 337-350, December.
    3. 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.
    4. Gupta, J.N.D. & Ruiz-Torres, Alex J., 2005. "Generating efficient schedules for identical parallel machines involving flow-time and tardy jobs," European Journal of Operational Research, Elsevier, vol. 167(3), pages 679-695, December.
    5. Ho, Johnny C. & Chang, Yih-Long, 1995. "Minimizing the number of tardy jobs for m parallel machines," European Journal of Operational Research, Elsevier, vol. 84(2), pages 343-355, July.
    6. C-J Liao & C-M Chen & C-H Lin, 2007. "Minimizing makespan for two parallel machines with job limit on each availability interval," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 938-947, July.
    7. M'Hallah, Rym & Bulfin, R. L., 2005. "Minimizing the weighted number of tardy jobs on parallel processors," European Journal of Operational Research, Elsevier, vol. 160(2), pages 471-484, January.
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    Cited by:

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