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Offline first-fit decreasing height scheduling of power loads

Author

Listed:
  • Anshu Ranjan

    (University of Florida)

  • Pramod Khargonekar

    (University of Florida)

  • Sartaj Sahni

    (University of Florida)

Abstract

In this paper, we consider the problem of scheduling energy consumption loads in the setting of smart electric grids. Each load is characterized as a “job” by a start (arrival) time and a deadline by which a certain amount of electric energy must be delivered to the load. A job may be preemptable, i. e. it can be interrupted or non-preemptable. Specifically, we focus on scheduling a mixture of preemptable and non-preemptable jobs with the same arrival time and deadline with the goal of minimizing the peak power. We study and modify the first-fit decreasing height algorithm of the strip packing problem for this purpose. We prove its asymptotic performance bound: $$1.7 OPT + 1$$ 1.7 O P T + 1 and its tightness. The heuristic results in at most one preemption per job, and it can be implemented with $$O(n \log n + nq)$$ O ( n log n + n q ) time complexity where q is the number of $$non-preemptable$$ n o n - p r e e m p t a b l e jobs.

Suggested Citation

  • Anshu Ranjan & Pramod Khargonekar & Sartaj Sahni, 2017. "Offline first-fit decreasing height scheduling of power loads," Journal of Scheduling, Springer, vol. 20(5), pages 527-542, October.
    • Handle: RePEc:spr:jsched:v:20:y:2017:i:5:d:10.1007_s10951-017-0528-y
    DOI: 10.1007/s10951-017-0528-y
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    References listed on IDEAS

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    1. Lodi, Andrea & Martello, Silvano & Monaci, Michele, 2002. "Two-dimensional packing problems: A survey," European Journal of Operational Research, Elsevier, vol. 141(2), pages 241-252, September.
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