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Power-aware scheduling of preemptable jobs on identical parallel processors to meet deadlines

Author

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  • Różycki, R.
  • Węglarz, J.

Abstract

This paper deals with a power-aware scheduling of preemptable independent jobs on identical parallel processors where ready time for each job is given and its completion time has to meet a given deadline. Jobs are described by (different) continuous, strictly concave functions relating their processing speeds at a time to the amount of power allotted at the moment. Power is a continuous, doubly constrained resource, i.e. both: its availability at each time instant and consumption over scheduling horizon are constrained. A methodology based on properties of minimum-length schedules is utilized to determine the existence of a feasible schedule for given amounts of energy and power. The question about minimum levels of power and energy ensuring the existence of a feasible schedule for a given set of jobs is also studied.

Suggested Citation

  • Różycki, R. & Węglarz, J., 2012. "Power-aware scheduling of preemptable jobs on identical parallel processors to meet deadlines," European Journal of Operational Research, Elsevier, vol. 218(1), pages 68-75.
    • Handle: RePEc:eee:ejores:v:218:y:2012:i:1:p:68-75
    DOI: 10.1016/j.ejor.2011.10.017
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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. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
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    Cited by:

    1. Figielska, Ewa, 2014. "A heuristic for scheduling in a two-stage hybrid flowshop with renewable resources shared among the stages," European Journal of Operational Research, Elsevier, vol. 236(2), pages 433-444.
    2. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Simple matching vs linear assignment in scheduling models with positional effects: A critical review," European Journal of Operational Research, Elsevier, vol. 222(3), pages 393-407.

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