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Online scheduling of moldable parallel tasks

Author

Listed:
  • Deshi Ye

    (Zhejiang University)

  • Danny Z. Chen

    (University of Notre Dame)

  • Guochuan Zhang

    (Zhejiang University)

Abstract

In this paper, we study an online scheduling problem with moldable parallel tasks on m processors. Each moldable task can be processed simultaneously on any number of processors of a parallel computer, and the processing time of a moldable task depends on the number of processors allotted to it. Tasks arrive one by one. Upon arrival of each task, the scheduler has to determine both the number of processors and the starting time for the task. Moreover, these decisions cannot be changed in the future. The objective is to attain a schedule such that the longest completion time over all tasks, i.e., the makespan, is minimized. First, we provide a general framework to show that any $$\rho $$ ρ -bounded algorithm for scheduling of rigid parallel tasks (the number of processors for a task is fixed a prior) can be extended to yield an algorithm for scheduling of moldable tasks with a competitive ratio of $$4\rho $$ 4 ρ if the ratio $$\rho $$ ρ is known beforehand. As a consequence, we achieve the first constant competitive ratio, 26.65, for the moldable parallel tasks scheduling problem. Next, we provide an improved algorithm with a competitive ratio of at most 16.74.

Suggested Citation

  • Deshi Ye & Danny Z. Chen & Guochuan Zhang, 2018. "Online scheduling of moldable parallel tasks," Journal of Scheduling, Springer, vol. 21(6), pages 647-654, December.
    • Handle: RePEc:spr:jsched:v:21:y:2018:i:6:d:10.1007_s10951-018-0556-2
    DOI: 10.1007/s10951-018-0556-2
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    References listed on IDEAS

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    1. Guo, Shouwei & Kang, Liying, 2010. "Online scheduling of malleable parallel jobs with setup times on two identical machines," European Journal of Operational Research, Elsevier, vol. 206(3), pages 555-561, November.
    2. Yu, Guosong & Mao, Yanling & Xiao, Jiaoliao, 2016. "A new lower bound for online strip packing," European Journal of Operational Research, Elsevier, vol. 250(3), pages 754-759.
    3. Havill, Jessen T. & Mao, Weizhen, 2008. "Competitive online scheduling of perfectly malleable jobs with setup times," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1126-1142, June.
    4. Deshi Ye & Xin Han & Guochuan Zhang, 2009. "A note on online strip packing," Journal of Combinatorial Optimization, Springer, vol. 17(4), pages 417-423, May.
    Full references (including those not matched with items on IDEAS)

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