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Blocking, reordering, and the throughput of a series of servers

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  • Kelly, F. P.

Abstract

A sequence of jobs is to be processed by a series of servers. The lengths of successive jobs are independent random variables, and the service time of a given job is the same at each server and equal to the job's length. There is no storage space available between servers, and so blockages may arise. This paper investigates the effect of reordering the sequence of jobs on the throughput of the system.

Suggested Citation

  • Kelly, F. P., 1984. "Blocking, reordering, and the throughput of a series of servers," Stochastic Processes and their Applications, Elsevier, vol. 17(2), pages 327-336, July.
    • Handle: RePEc:eee:spapps:v:17:y:1984:i:2:p:327-336
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    Cited by:

    1. Papadopoulos, H. T. & Heavey, C., 1996. "Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines," European Journal of Operational Research, Elsevier, vol. 92(1), pages 1-27, July.
    2. Noa Zychlinski & Avishai Mandelbaum & Petar Momčilović, 2018. "Time-varying tandem queues with blocking: modeling, analysis, and operational insights via fluid models with reflection," Queueing Systems: Theory and Applications, Springer, vol. 89(1), pages 15-47, June.

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