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Power-aware scheduling of preemptable jobs on identical parallel processors to minimize makespan

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  • R. Różycki
  • J. Węglarz

Abstract

This paper deals with power-aware scheduling of preemptable jobs on identical parallel processors to minimize schedule length when jobs are described by continuous, strictly concave functions relating their processing speed at time t to the amount of power allotted at the moment. Power is a continuous, doubly constrained resource, i.e. both: its availability at time t and consumption over scheduling horizon are constrained. Precedence constraints among jobs are represented by a task-on-arc graph. A methodology based on properties of optimal schedules is presented for solving the problem optimally for a given ordering of nodes in the graph. Heuristics for finding an ordering which leads to possibly short schedules are proposed and examined experimentally. Copyright The Author(s) 2014

Suggested Citation

  • R. Różycki & J. Węglarz, 2014. "Power-aware scheduling of preemptable jobs on identical parallel processors to minimize makespan," Annals of Operations Research, Springer, vol. 213(1), pages 235-252, February.
    • Handle: RePEc:spr:annopr:v:213:y:2014:i:1:p:235-252:10.1007/s10479-011-0957-5
    DOI: 10.1007/s10479-011-0957-5
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    References listed on IDEAS

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    1. Jan Weogon glarz, 1981. "Project Scheduling with Continuously-Divisible, Doubly Constrained Resources," Management Science, INFORMS, vol. 27(9), pages 1040-1053, September.
    2. Joanna Józefowska & Marek Mika & Rafał Różycki & Grzegorz Waligóra & Jan Węglarz, 2004. "An Almost Optimal Heuristic for Preemptive C max Scheduling of Dependent Tasks on Parallel Identical Machines," Annals of Operations Research, Springer, vol. 129(1), pages 205-216, July.
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