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Performance Guarantees for Scheduling Algorithms

Author

Listed:
  • M. R. Garey

    (Bell Laboratories, Murray Hill, New Jersey)

  • R. L. Graham

    (Bell Laboratories, Murray Hill, New Jersey)

  • D. S. Johnson

    (Bell Laboratories, Murray Hill, New Jersey)

Abstract

One approach to coping with the apparent difficulty of many schedule-optimization problems, such as occur in machine shops and computer processing, is to devise efficient algorithms that find schedules guaranteed to be “near-optimal.” This paper presents an introduction to this approach by describing its application to a well-known multiprocessor scheduling model and illustrating the variety of algorithms and results that are possible. The paper concludes with a brief survey of what has been accomplished to date in the area of scheduling using this approach.

Suggested Citation

  • M. R. Garey & R. L. Graham & D. S. Johnson, 1978. "Performance Guarantees for Scheduling Algorithms," Operations Research, INFORMS, vol. 26(1), pages 3-21, February.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:1:p:3-21
    DOI: 10.1287/opre.26.1.3
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    Cited by:

    1. Bertossi, Alan A. & Fusiello, Andrea, 1997. "Rate-monotonic scheduling for hard-real-time systems," European Journal of Operational Research, Elsevier, vol. 96(3), pages 429-443, February.
    2. Ng, C.T. & Barketau, M.S. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2010. ""Product Partition" and related problems of scheduling and systems reliability: Computational complexity and approximation," European Journal of Operational Research, Elsevier, vol. 207(2), pages 601-604, December.
    3. Kathryn E. Stecke & Xuying Zhao, 2007. "Production and Transportation Integration for a Make-to-Order Manufacturing Company with a Commit-to-Delivery Business Mode," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 206-224, September.
    4. James, R. J. W. & Buchanan, J. T., 1997. "A neighbourhood scheme with a compressed solution space for the early/tardy scheduling problem," European Journal of Operational Research, Elsevier, vol. 102(3), pages 513-527, November.
    5. Tzafestas, Spyros & Triantafyllakis, Alekos, 1993. "Deterministic scheduling in computing and manufacturing systems: a survey of models and algorithms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(5), pages 397-434.
    6. James, R. J. W. & Buchanan, J. T., 1998. "Performance enhancements to tabu search for the early/tardy scheduling problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 254-265, April.
    7. Wilbert E. Wilhelm, 1987. "Complexity of sequencing tasks in assembly cells attended by one or two robots," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 721-738, October.

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