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The Longest Processing Time rule for identical parallel machines revisited

Author

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  • Federico Della Croce

    (Politecnico di Torino
    CNR, IEIIT)

  • Rosario Scatamacchia

    (Politecnico di Torino)

Abstract

We consider the $$P_m || C_{\max }$$Pm||Cmax scheduling problem where the goal is to schedule n jobs on m identical parallel machines $$(m

Suggested Citation

  • Federico Della Croce & Rosario Scatamacchia, 2020. "The Longest Processing Time rule for identical parallel machines revisited," Journal of Scheduling, Springer, vol. 23(2), pages 163-176, April.
    • Handle: RePEc:spr:jsched:v:23:y:2020:i:2:d:10.1007_s10951-018-0597-6
    DOI: 10.1007/s10951-018-0597-6
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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. Wil Michiels & Jan Korst & Emile Aarts & Jan van Leeuwen, 2007. "Performance ratios of the Karmarkar-Karp differencing method," Journal of Combinatorial Optimization, Springer, vol. 13(1), pages 19-32, January.
    3. Yong He & Hans Kellerer & Vladimir Kotov, 2000. "Linear compound algorithms for the partitioning problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(7), pages 593-601, October.
    4. Antonio Frangioni & Emiliano Necciari & Maria Grazia Scutellà, 2004. "A Multi-Exchange Neighborhood for Minimum Makespan Parallel Machine Scheduling Problems," Journal of Combinatorial Optimization, Springer, vol. 8(2), pages 195-220, June.
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    Cited by:

    1. Myungho Lee & Kangbok Lee & Michael Pinedo, 2022. "Tight approximation bounds for the LPT rule applied to identical parallel machines with small jobs," Journal of Scheduling, Springer, vol. 25(6), pages 721-740, December.

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