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Approximation algorithms for energy-efficient scheduling of parallel jobs

Author

Listed:
  • Alexander Kononov

    (Sobolev Institute of Mathematics SB RAS)

  • Yulia Kovalenko

    (Sobolev Institute of Mathematics SB RAS, Omsk Department)

Abstract

In this paper, we consider the homogeneous scheduling on speed-scalable processors, where the energy consumption is minimized. While most previous works have studied single-processor jobs, we focus on rigid parallel jobs, using more than one processor at the same time. Each job is specified by release date, deadline, processing volume and the number of required processors. Firstly, we develop constant-factor approximation algorithms for such interesting cases as agreeable jobs without migration and preemptive instances. Next, we propose a configuration linear program, which allows us to obtain an “almost exact” solution for the preemptive setting. Finally, in the case of non-preemptive agreeable jobs with unit-work operations, we present a three-approximation algorithm by generalization of the known exact algorithm for single-processor jobs.

Suggested Citation

  • Alexander Kononov & Yulia Kovalenko, 2020. "Approximation algorithms for energy-efficient scheduling of parallel jobs," Journal of Scheduling, Springer, vol. 23(6), pages 693-709, December.
    • Handle: RePEc:spr:jsched:v:23:y:2020:i:6:d:10.1007_s10951-020-00653-8
    DOI: 10.1007/s10951-020-00653-8
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    References listed on IDEAS

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    1. Evripidis Bampis & Alexander Kononov & Dimitrios Letsios & Giorgio Lucarelli & Maxim Sviridenko, 2018. "Energy-efficient scheduling and routing via randomized rounding," Journal of Scheduling, Springer, vol. 21(1), pages 35-51, February.
    2. Eric Angel & Evripidis Bampis & Fadi Kacem & Dimitrios Letsios, 2019. "Speed scaling on parallel processors with migration," Journal of Combinatorial Optimization, Springer, vol. 37(4), pages 1266-1282, May.
    3. Marco E. T. Gerards & Johann L. Hurink & Philip K. F. Hölzenspies, 2016. "A survey of offline algorithms for energy minimization under deadline constraints," Journal of Scheduling, Springer, vol. 19(1), pages 3-19, February.
    4. Akiyoshi Shioura & Natalia V. Shakhlevich & Vitaly A. Strusevich, 2017. "Machine Speed Scaling by Adapting Methods for Convex Optimization with Submodular Constraints," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 724-736, November.
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    Cited by:

    1. Alexander Kononov & Yulia Zakharova, 2022. "Speed scaling scheduling of multiprocessor jobs with energy constraint and makespan criterion," Journal of Global Optimization, Springer, vol. 83(3), pages 539-564, July.

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