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A Comparison of the Operational Features of Conventional Queues with a Self‐Regulating System

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  • B. W. Conolly
  • N. Hadidi

Abstract

The practical effects of an analysis of a method of queue regulation considered in previous work by these authors (Conolly, 1968; Conolly and Hadidi, 1969), namely to allot to any customer a service time proportional to the inter‐arrival interval he creates, are compared numerically with M/M/1, D/M/1 and M/D/1. It is shown that as compared with M/M/1 a reduction in waiting time, and other advantages, are achieved without inflicting on the server the penalty of higher probability of idleness. Similar, though less spectacular, gains are achieved by comparison with D/M/1 and M/D/1, particularly in heavy traffic.

Suggested Citation

  • B. W. Conolly & N. Hadidi, 1969. "A Comparison of the Operational Features of Conventional Queues with a Self‐Regulating System," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 18(1), pages 41-53, March.
    • Handle: RePEc:bla:jorssc:v:18:y:1969:i:1:p:41-53
    DOI: 10.2307/2346438
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    Cited by:

    1. Weimin Dai & Jian-Qiang Hu, 2022. "Correlated queues with service times depending on inter-arrival times," Queueing Systems: Theory and Applications, Springer, vol. 100(1), pages 41-60, February.
    2. Qixin Wang & Jian-Qiang Hu, 2024. "Queues with correlated inter-arrival and service times," Queueing Systems: Theory and Applications, Springer, vol. 108(1), pages 1-30, October.

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