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Scheduling with Random Arrivals and Linear Loss Functions

Author

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  • Dennis W. Fife

    (Cooley Electronics Laboratory, The University of Michigan)

Abstract

The problem under consideration involves scheduling of the processing of an initial queue of jobs and subsequent Poisson arrivals on a single processor. Each job to be processed incurs a loss which increases linearly with its waiting time. The scheduling algorithm is sought which minimizes the average rate of expected loss over infinite time. It is shown that if statistical equilibrium exists for the total loss of an individual arrival, the optimal schedule minimizes the expected total loss of a single arrival, and is given by the scheduling rule which applies when there are no additional arrivals.

Suggested Citation

  • Dennis W. Fife, 1965. "Scheduling with Random Arrivals and Linear Loss Functions," Management Science, INFORMS, vol. 11(3), pages 429-437, January.
    • Handle: RePEc:inm:ormnsc:v:11:y:1965:i:3:p:429-437
    DOI: 10.1287/mnsc.11.3.429
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    Cited by:

    1. Urtzi Ayesta & Peter Jacko & Vladimir Novak, 2017. "Scheduling of multi-class multi-server queueing systems with abandonments," Journal of Scheduling, Springer, vol. 20(2), pages 129-145, April.
    2. Becker, K. J. & Gaver, D. P. & Glazebrook, K. D. & Jacobs, P. A. & Lawphongpanich, S., 2000. "Allocation of tasks to specialized processors: A planning approach," European Journal of Operational Research, Elsevier, vol. 126(1), pages 80-88, October.

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