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Preemptive Scheduling with Due Dates

Author

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  • Sartaj Sahni

    (University of Minnesota, Minneapolis, Minnesota)

Abstract

An 0( n log mn ) algorithm is presented to preemptively schedule n tasks on m identical machines. The tasks are assumed to have due dates. All tasks are initially available. The objective is to obtain a preemptive schedule that meets all due dates (when possible). Our algorithm generates schedules with at most n − 2 preemptions. The algorithm may also be used to schedule a set of n tasks all having the same due date but having different release dates.

Suggested Citation

  • Sartaj Sahni, 1979. "Preemptive Scheduling with Due Dates," Operations Research, INFORMS, vol. 27(5), pages 925-934, October.
    • Handle: RePEc:inm:oropre:v:27:y:1979:i:5:p:925-934
    DOI: 10.1287/opre.27.5.925
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    Citations

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    Cited by:

    1. Lenstra, J. K. & Rinnooy Kan, A. H. G., 1980. "An Introduction To Multiprocessor Scheduling," Econometric Institute Archives 272258, Erasmus University Rotterdam.
    2. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
    3. Wu, Xianyi & Zhou, Xian, 2008. "Stochastic scheduling to minimize expected maximum lateness," European Journal of Operational Research, Elsevier, vol. 190(1), pages 103-115, October.
    4. Joseph Y.-T. Leung & Michael Pinedo & Guohua Wan, 2010. "Competitive Two-Agent Scheduling and Its Applications," Operations Research, INFORMS, vol. 58(2), pages 458-469, April.
    5. S. Knust & N. V. Shakhlevich & S. Waldherr & C. Weiß, 2019. "Shop scheduling problems with pliable jobs," Journal of Scheduling, Springer, vol. 22(6), pages 635-661, December.
    6. Leung, Joseph Y.-T. & Lee, C.Y. & Ng, C.W. & Young, G.H., 2008. "Preemptive multiprocessor order scheduling to minimize total weighted flowtime," European Journal of Operational Research, Elsevier, vol. 190(1), pages 40-51, October.
    7. Shioura, Akiyoshi & Shakhlevich, Natalia V. & Strusevich, Vitaly A., 2018. "Preemptive models of scheduling with controllable processing times and of scheduling with imprecise computation: A review of solution approaches," European Journal of Operational Research, Elsevier, vol. 266(3), pages 795-818.
    8. Akiyoshi Shioura & Natalia V. Shakhlevich & Vitaly A. Strusevich, 2020. "Scheduling problems with controllable processing times and a common deadline to minimize maximum compression cost," Journal of Global Optimization, Springer, vol. 76(3), pages 471-490, March.
    9. Mohri, Shintaro & Masuda, Teruo & Ishii, Hiroaki, 1999. "Bi-criteria scheduling problem on three identical parallel machines," International Journal of Production Economics, Elsevier, vol. 60(1), pages 529-536, April.
    10. Cheng, T. C. Edwin & Shakhlevich, Natalia V., 2005. "Minimizing non-decreasing separable objective functions for the unit-time open shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 165(2), pages 444-456, September.

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