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Models and algorithms for energy-efficient scheduling with immediate start of jobs

Author

Listed:
  • Akiyoshi Shioura

    (School of Engineering, Tokyo Institute of Technology)

  • Natalia V. Shakhlevich

    (School of Computing, University of Leeds)

  • Vitaly A. Strusevich

    (University of Greenwich, Old Royal Naval College)

  • Bernhard Primas

    (School of Computing, University of Leeds)

Abstract

We study a scheduling model with speed scaling for machines and the immediate start requirement for jobs. Speed scaling improves the system performance, but incurs the energy cost. The immediate start condition implies that each job should be started exactly at its release time. Such a condition is typical for modern Cloud computing systems with abundant resources. We consider two cost functions, one that represents the quality of service and the other that corresponds to the cost of running. We demonstrate that the basic scheduling model to minimize the aggregated cost function with n jobs is solvable in $$O(n\log n)$$ O ( n log n ) time in the single-machine case and in $$O(n^{2}m)$$ O ( n 2 m ) time in the case of m parallel machines. We also address additional features, e.g., the cost of job rejection or the cost of initiating a machine. In the case of a single machine, we present algorithms for minimizing one of the cost functions subject to an upper bound on the value of the other, as well as for finding a Pareto-optimal solution.

Suggested Citation

  • Akiyoshi Shioura & Natalia V. Shakhlevich & Vitaly A. Strusevich & Bernhard Primas, 2018. "Models and algorithms for energy-efficient scheduling with immediate start of jobs," Journal of Scheduling, Springer, vol. 21(5), pages 505-516, October.
    • Handle: RePEc:spr:jsched:v:21:y:2018:i:5:d:10.1007_s10951-017-0552-y
    DOI: 10.1007/s10951-017-0552-y
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    References listed on IDEAS

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    1. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.
    2. 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.
    3. Yaron Leyvand & Dvir Shabtay & George Steiner & Liron Yedidsion, 2010. "Just-in-time scheduling with controllable processing times on parallel machines," Journal of Combinatorial Optimization, Springer, vol. 19(3), pages 347-368, April.
    4. Bekki, Özgün BarIs & Azizoglu, Meral, 2008. "Operational fixed interval scheduling problem on uniform parallel machines," International Journal of Production Economics, Elsevier, vol. 112(2), pages 756-768, April.
    5. Kenji Kushida & Jonathan Murray & John Zysman, 2015. "Cloud Computing: From Scarcity to Abundance," Journal of Industry, Competition and Trade, Springer, vol. 15(1), pages 5-19, March.
    6. Kovalyov, Mikhail Y. & Ng, C.T. & Cheng, T.C. Edwin, 2007. "Fixed interval scheduling: Models, applications, computational complexity and algorithms," European Journal of Operational Research, Elsevier, vol. 178(2), pages 331-342, April.
    7. Antoon W.J. Kolen & Jan Karel Lenstra & Christos H. Papadimitriou & Frits C.R. Spieksma, 2007. "Interval scheduling: A survey," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 530-543, August.
    8. Shabtay, Dvir & Bensoussan, Yaron & Kaspi, Moshe, 2012. "A bicriteria approach to maximize the weighted number of just-in-time jobs and to minimize the total resource consumption cost in a two-machine flow-shop scheduling system," International Journal of Production Economics, Elsevier, vol. 136(1), pages 67-74.
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