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The M/G/1 queue with instantaneous bernoulli feedback

Author

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  • Ralph L. Disney
  • Donald C. McNickle
  • Burton Simon

Abstract

In this paper we are concerned with several random processes that occur in M/G/1 queues with instantaneous feedback in which the feedback decision process is a Bernoulli process. Queue length processes embedded at various times are studied. It is shown that these do not all have the same asymptotic distribution, and that in general none of the output, input, or feedback processes is renewal. These results have implications in the application of certain decomposition results to queueing networks.

Suggested Citation

  • Ralph L. Disney & Donald C. McNickle & Burton Simon, 1980. "The M/G/1 queue with instantaneous bernoulli feedback," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(4), pages 635-644, December.
    • Handle: RePEc:wly:navlog:v:27:y:1980:i:4:p:635-644
    DOI: 10.1002/nav.3800270411
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    Cited by:

    1. Mark Fackrell & Peter Taylor & Jiesen Wang, 2021. "Strategic customer behavior in an M/M/1 feedback queue," Queueing Systems: Theory and Applications, Springer, vol. 97(3), pages 223-259, April.

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