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Linear-Time Algorithms for Scheduling on Parallel Processors

Author

Listed:
  • Clyde L. Monma

    (Bell Laboratories, Holmdel, New Jersey)

Abstract

Linear-time algorithms are presented for several problems of scheduling n equal-length tasks on m identical parallel processors subject to precedence constraints. This improves upon previous time bounds for the maximum lateness problem with treelike precedence constraints, the number-of-late-tasks problem without precedence constraints, and the one machine maximum lateness problem with general precedence constraints.

Suggested Citation

  • Clyde L. Monma, 1982. "Linear-Time Algorithms for Scheduling on Parallel Processors," Operations Research, INFORMS, vol. 30(1), pages 116-124, February.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:1:p:116-124
    DOI: 10.1287/opre.30.1.116
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    Citations

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    Cited by:

    1. D. Prot & O. Bellenguez-Morineau, 2018. "A survey on how the structure of precedence constraints may change the complexity class of scheduling problems," Journal of Scheduling, Springer, vol. 21(1), pages 3-16, February.
    2. Felix Happach, 2021. "Makespan minimization with OR-precedence constraints," Journal of Scheduling, Springer, vol. 24(3), pages 319-328, June.
    3. 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.
    4. Bornstein, Claudio Thomas & Alcoforado, Luciane Ferreira & Maculan, Nelson, 2005. "A graph-oriented approach for the minimization of the number of late jobs for the parallel machines scheduling problem," European Journal of Operational Research, Elsevier, vol. 165(3), pages 649-656, September.
    5. Timkovsky, Vadim G., 2003. "Identical parallel machines vs. unit-time shops and preemptions vs. chains in scheduling complexity," European Journal of Operational Research, Elsevier, vol. 149(2), pages 355-376, September.

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