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A simple linear time approximation algorithm for multi-processor job scheduling on four processors

Author

Listed:
  • Jingui Huang

    (Central South University)

  • Jianer Chen

    (Central South University
    Texas A&M University)

  • Songqiao Chen

    (Central South University)

  • Jianxin Wang

    (Central South University)

Abstract

Multiprocessor job scheduling problem has become increasingly interesting, for both theoretical study and practical applications. Theoretical study of the problem has made significant progress recently, which, however, seems not to imply practical algorithms for the problem, yet. Practical algorithms have been developed only for systems with three processors and the techniques seem difficult to extend to systems with more than three processors. This paper offers new observations and introduces new techniques for the multiprocessor job scheduling problem on systems with four processors. A very simple and practical linear time approximation algorithm of ratio bounded by 1.5 is developed for the multi-processor job scheduling problem P 4|fix|C max, which significantly improves previous results. Our techniques are also useful for multiprocessor job scheduling problems on systems with more than four processors.

Suggested Citation

  • Jingui Huang & Jianer Chen & Songqiao Chen & Jianxin Wang, 2007. "A simple linear time approximation algorithm for multi-processor job scheduling on four processors," Journal of Combinatorial Optimization, Springer, vol. 13(1), pages 33-45, January.
    • Handle: RePEc:spr:jcomop:v:13:y:2007:i:1:d:10.1007_s10878-006-9011-y
    DOI: 10.1007/s10878-006-9011-y
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    References listed on IDEAS

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    1. Jianer Chen & Chung‐Yee Lee, 1999. "General multiprocessor task scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 57-74, February.
    2. Gregory Dobson & Uday S. Karmarkar, 1989. "Simultaneous Resource Scheduling to Minimize Weighted Flow Times," Operations Research, INFORMS, vol. 37(4), pages 592-600, August.
    3. Chung-Yee Lee & Lei Lei & Michael Pinedo, 1997. "Current trends in deterministic scheduling," Annals of Operations Research, Springer, vol. 70(0), pages 1-41, April.
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    Cited by:

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    2. Bukchin, Yossi & Raviv, Tal & Zaides, Ilya, 2020. "The consecutive multiprocessor job scheduling problem," European Journal of Operational Research, Elsevier, vol. 284(2), pages 427-438.

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