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Shared processor scheduling

Author

Listed:
  • Dariusz Dereniowski

    (Gdańsk University of Technology)

  • Wiesław Kubiak

    (Memorial University)

Abstract

We study the shared processor scheduling problem with a single shared processor to maximize total weighted overlap, where an overlap for a job is the amount of time it is processed on its private and shared processor in parallel. A polynomial-time optimization algorithm has been given for the problem with equal weights in the literature. This paper extends that result by showing an $$O(n \log n)$$ O ( n log n ) -time optimization algorithm for a class of instances in which non-decreasing order of jobs with respect to processing times provides a non-increasing order with respect to weights—this instance generalizes the unweighted case of the problem. This algorithm also leads to a $$\frac{1}{2}$$ 1 2 -approximation algorithm for the general weighted problem. The complexity of the weighted problem remains open.

Suggested Citation

  • Dariusz Dereniowski & Wiesław Kubiak, 2018. "Shared processor scheduling," Journal of Scheduling, Springer, vol. 21(6), pages 583-593, December.
    • Handle: RePEc:spr:jsched:v:21:y:2018:i:6:d:10.1007_s10951-018-0566-0
    DOI: 10.1007/s10951-018-0566-0
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    References listed on IDEAS

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    1. George L. Vairaktarakis, 2013. "Noncooperative Games for Subcontracting Operations," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 148-158, September.
    2. Dereniowski, Dariusz & Kubiak, Wiesław, 2017. "Shared multi-processor scheduling," European Journal of Operational Research, Elsevier, vol. 261(2), pages 503-514.
    3. Yossi Bukchin & Eran Hanany, 2007. "Decentralization Cost in Scheduling: A Game-Theoretic Approach," Manufacturing & Service Operations Management, INFORMS, vol. 9(3), pages 263-275, October.
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    Citations

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    Cited by:

    1. Dereniowski, Dariusz & Kubiak, Wiesław, 2020. "Shared processor scheduling of multiprocessor jobs," European Journal of Operational Research, Elsevier, vol. 282(2), pages 464-477.
    2. Yunhong Min & Byung-Cheon Choi & Myoung-Ju Park & Kyung Min Kim, 2023. "A parallel-machine scheduling problem with an antithetical property to maximize total weighted early work," 4OR, Springer, vol. 21(3), pages 421-437, September.

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