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DVS scheduling in a line or a star network of processors

Author

Listed:
  • Zongxu Mu

    (City University of Hong Kong)

  • Minming Li

    (City University of Hong Kong)

Abstract

Dynamic voltage scaling (DVS) is a technique which allows the processors to change speed when executing jobs. Most of the previous works study either single processor or multiple parallel processors. In this paper, we consider a network of DVS enabled processors. Every job needs to go along a certain path in the network and has a certain workload finished on any processor it goes through before it moves on to the next processor. Our objective is to minimize the total energy consumption while finishing every job before its deadline. Due to the intrinsic complexity of this problem, we only focus on line networks with two nodes and a simple one-level tree network (a star). We show that in some of these simple cases, the optimal schedule can be computed efficiently and interleaving is not needed to achieve optimality. However, in both types of networks, how to find the optimal sequence of execution remains a big challenge for jobs with general workloads.

Suggested Citation

  • Zongxu Mu & Minming Li, 2015. "DVS scheduling in a line or a star network of processors," Journal of Combinatorial Optimization, Springer, vol. 29(1), pages 16-35, January.
    • Handle: RePEc:spr:jcomop:v:29:y:2015:i:1:d:10.1007_s10878-013-9668-y
    DOI: 10.1007/s10878-013-9668-y
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    References listed on IDEAS

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    1. S. M. Johnson, 1954. "Optimal two‐ and three‐stage production schedules with setup times included," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(1), pages 61-68, March.
    2. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
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