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Scheduling multi-stage parallel-processor services to minimize average response time

Author

Listed:
  • A Allahverdi

    (Kuwait University)

  • F S Al-Anzi

    (Kuwait University)

Abstract

The problem of scheduling on a multi-stage parallel-processor architecture in computer centres is addressed with the objective of minimizing average completion time of a set of requests. The problem is modelled as a flexible flowshop problem for which few heuristics exist in the flowshop scheduling literature. A new three-phase heuristic is proposed in this paper. An extensive computational experiment has been conducted to compare the performance of the existing heuristics and the proposed heuristic. The results indicate that the proposed heuristic significantly outperforms the existing ones. More specifically, the overall average error of the best existing heuristic is about five times that of the proposed heuristic while the overall average CPU time of the proposed heuristic is about half of the best existing one. More importantly, as the number of requests increases, the CPU time of the proposed heuristic decreases considerably (compared to the best existing heuristic) while the ratio of the error (of the best existing to the proposed heuristic) of about five times remains almost the same.

Suggested Citation

  • A Allahverdi & F S Al-Anzi, 2006. "Scheduling multi-stage parallel-processor services to minimize average response time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(1), pages 101-110, January.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:1:d:10.1057_palgrave.jors.2601987
    DOI: 10.1057/palgrave.jors.2601987
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    References listed on IDEAS

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    1. Ho, Johnny C., 1995. "Flowshop sequencing with mean flowtime objective," European Journal of Operational Research, Elsevier, vol. 81(3), pages 571-578, March.
    2. Brah, Shaukat A. & Loo, Luan Luan, 1999. "Heuristics for scheduling in a flow shop with multiple processors," European Journal of Operational Research, Elsevier, vol. 113(1), pages 113-122, February.
    3. Teofilo Gonzalez & Sartaj Sahni, 1978. "Flowshop and Jobshop Schedules: Complexity and Approximation," Operations Research, INFORMS, vol. 26(1), pages 36-52, February.
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    7. Azizoglu, Meral & Cakmak, Ergin & Kondakci, Suna, 2001. "A flexible flowshop problem with total flow time minimization," European Journal of Operational Research, Elsevier, vol. 132(3), pages 528-538, August.
    8. Grabowski, Jozef & Pempera, Jaroslaw, 2000. "Sequencing of jobs in some production system," European Journal of Operational Research, Elsevier, vol. 125(3), pages 535-550, September.
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    Cited by:

    1. Ruiz, Rubén & Vázquez-Rodríguez, José Antonio, 2010. "The hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 1-18, August.

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