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Preemptive parallel-machine scheduling problem of maximizing the number of on-time jobs

Author

Listed:
  • Hui-Chih Hung

    (National Chiao Tung University)

  • Bertrand M. T. Lin

    (National Chiao Tung University)

  • Marc E. Posner

    (The Ohio State University)

  • Jun-Min Wei

    (National Chiao Tung University)

Abstract

This paper investigates the classical preemptive parallel-machine scheduling problem of maximizing number of on-time jobs. While the problem is known to be NP-hard, no theoretical analysis of approximation algorithms exists in the literature. As part of the analysis, a new non-standard mixed integer formulation is developed. We propose heuristics based on different design strategies. These heuristics have asymptotically tight relative errors of 1/2. Experimental tests evaluate the computational performance of the procedures.

Suggested Citation

  • Hui-Chih Hung & Bertrand M. T. Lin & Marc E. Posner & Jun-Min Wei, 2019. "Preemptive parallel-machine scheduling problem of maximizing the number of on-time jobs," Journal of Scheduling, Springer, vol. 22(4), pages 413-431, August.
    • Handle: RePEc:spr:jsched:v:22:y:2019:i:4:d:10.1007_s10951-018-0584-y
    DOI: 10.1007/s10951-018-0584-y
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    References listed on IDEAS

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    5. E. L. Lawler & C. U. Martel, 1989. "Preemptive Scheduling of Two Uniform Machines to Minimize the Number of Late Jobs," Operations Research, INFORMS, vol. 37(2), pages 314-318, April.
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    Cited by:

    1. Xiayan Cheng & Rongheng Li & Yunxia Zhou, 2022. "Tighter price of anarchy for selfish task allocation on selfish machines," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1848-1879, October.
    2. Xiayan Cheng & Rongheng Li & Yunxia Zhou, 0. "Tighter price of anarchy for selfish task allocation on selfish machines," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-32.
    3. Mohammad Reza Bazargan-Lari & Sharareh Taghipour & Arash Zaretalab & Mani Sharifi, 2022. "Production scheduling optimization for parallel machines subject to physical distancing due to COVID-19 pandemic," Operations Management Research, Springer, vol. 15(1), pages 503-527, June.
    4. Matan Atsmony & Gur Mosheiov, 2023. "Scheduling to maximize the weighted number of on-time jobs on parallel machines with bounded job-rejection," Journal of Scheduling, Springer, vol. 26(2), pages 193-207, April.
    5. Baruch Mor & Gur Mosheiov, 2022. "Single machine scheduling to maximize the weighted number of on-time jobs with job-rejection," Operational Research, Springer, vol. 22(3), pages 2707-2719, July.

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