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Optimal Scheduling of Jobs with Exponential Service Times on Identical Parallel Processors

Author

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  • Thomas Kämpke

    (FAW, Universitãt Ulm, Ulm, West Germany)

Abstract

The scheduling of jobs with stochastically independent, exponentially distributed service times on identical parallel processors is considered. General sufficient conditions for optimality in expectation of priority policies for certain cost functions are given, including cases of the weighted flow time. The priority policies under consideration may be more general than the longest expected processing time (LEPT) or the shortest expected processing time (SEPT) policy. We deal with a fixed number of processors as well as certain more general resource constraints. Finally, precedence relations between jobs given by strict interval orders are admitted and an optimality result for LEPT is stated for this situation.

Suggested Citation

  • Thomas Kämpke, 1989. "Optimal Scheduling of Jobs with Exponential Service Times on Identical Parallel Processors," Operations Research, INFORMS, vol. 37(1), pages 126-133, February.
    • Handle: RePEc:inm:oropre:v:37:y:1989:i:1:p:126-133
    DOI: 10.1287/opre.37.1.126
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    Cited by:

    1. Jian Yang & Gang Yu, 2002. "On the Robust Single Machine Scheduling Problem," Journal of Combinatorial Optimization, Springer, vol. 6(1), pages 17-33, March.
    2. Shabtay, Dvir & Gilenson, Miri, 2023. "A state-of-the-art survey on multi-scenario scheduling," European Journal of Operational Research, Elsevier, vol. 310(1), pages 3-23.
    3. Miri Gilenson & Dvir Shabtay & Liron Yedidsion & Rohit Malshe, 2021. "Scheduling in multi-scenario environment with an agreeable condition on job processing times," Annals of Operations Research, Springer, vol. 307(1), pages 153-173, December.
    4. Xiaoqiang Cai & Sean Zhou, 1999. "Stochastic Scheduling on Parallel Machines Subject to Random Breakdowns to Minimize Expected Costs for Earliness and Tardy Jobs," Operations Research, INFORMS, vol. 47(3), pages 422-437, June.

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