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A note on longest processing time algorithms for the two uniform parallel machine makespan minimization problem

Author

Listed:
  • Ivar Massabò

    (Università della Calabria)

  • Giuseppe Paletta

    (Università della Calabria)

  • Alex J. Ruiz-Torres

    (Universidad de Puerto Rico - Rio Piedras)

Abstract

This note considers the longest processing time heuristic for scheduling n independent jobs on two uniform parallel machines to minimize the makespan. A posterior worst-case performance ratio, by depending on the index of the latest job inserted in the machine where the makespan takes place, is developed for this heuristic, and some examples demonstrate that the ratio is tight.

Suggested Citation

  • Ivar Massabò & Giuseppe Paletta & Alex J. Ruiz-Torres, 2016. "A note on longest processing time algorithms for the two uniform parallel machine makespan minimization problem," Journal of Scheduling, Springer, vol. 19(2), pages 207-211, April.
    • Handle: RePEc:spr:jsched:v:19:y:2016:i:2:d:10.1007_s10951-015-0453-x
    DOI: 10.1007/s10951-015-0453-x
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    References listed on IDEAS

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    1. Paul Mireault & James B. Orlin & Rakesh V. Vohra, 1997. "A Parametric Worst Case Analysis of the LPT Heuristic for Two Uniform Machines," Operations Research, INFORMS, vol. 45(1), pages 116-125, February.
    2. Koulamas, Christos & Kyparisis, George J., 2009. "A modified LPT algorithm for the two uniform parallel machine makespan minimization problem," European Journal of Operational Research, Elsevier, vol. 196(1), pages 61-68, July.
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    Cited by:

    1. Johnny C. Ho & Ivar Massabò & Giuseppe Paletta & Alex J. Ruiz-Torres, 2019. "A note on posterior tight worst-case bounds for longest processing time schedules," 4OR, Springer, vol. 17(1), pages 97-107, March.

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