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Analysis of the List Scheduling Algorithm for Precedence Constrained Parallel Tasks

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  • Keqin Li

    (State University of New York)

Abstract

Given P processors, and a set of precedence constrained parallel tasks with their processor requirements and execution times, the problem of scheduling precedence constrained parallel tasks on multiprocessors is to find a nonpreemptive schedule of the tasks on a multiprocessor with P processors, such that the schedule length is minimized. We show that for many heuristic choices of the initial priority list, the list scheduling algorithm has worst-case performance ratio P, which is unbounded as P gets large. However, it is also shown that when task sizes are bounded from above by a fraction of P, the list scheduling algorithm has finite worst-case performance ratio. In particular, we prove that if all tasks request for no more than qP processors, where 0

Suggested Citation

  • Keqin Li, 1999. "Analysis of the List Scheduling Algorithm for Precedence Constrained Parallel Tasks," Journal of Combinatorial Optimization, Springer, vol. 3(1), pages 73-88, July.
    • Handle: RePEc:spr:jcomop:v:3:y:1999:i:1:d:10.1023_a:1009817206440
    DOI: 10.1023/A:1009817206440
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    References listed on IDEAS

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    1. Drozdowski, Maciej, 1996. "Scheduling multiprocessor tasks -- An overview," European Journal of Operational Research, Elsevier, vol. 94(2), pages 215-230, October.
    2. Errol L. Lloyd, 1981. "Concurrent Task Systems," Operations Research, INFORMS, vol. 29(1), pages 189-201, February.
    3. J. K. Lenstra & A. H. G. Rinnooy Kan, 1978. "Complexity of Scheduling under Precedence Constraints," Operations Research, INFORMS, vol. 26(1), pages 22-35, February.
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    Cited by:

    1. Alexander Kononov & Yulia Zakharova, 2022. "Speed scaling scheduling of multiprocessor jobs with energy constraint and makespan criterion," Journal of Global Optimization, Springer, vol. 83(3), pages 539-564, July.

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