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Characterising the Finite Capacity GI/M/1 Queue with Renewal Output

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  • G. M. Laslett

    (The Australian National University)

Abstract

This note proves that the only stationary GI/M/1/N queueing systems (i.e., systems having fixed waiting room capacity N(0 \leqq N \leqq \infty )) with renewal output are the M/M/1/0 and stable (traffic intensity

Suggested Citation

  • G. M. Laslett, 1975. "Characterising the Finite Capacity GI/M/1 Queue with Renewal Output," Management Science, INFORMS, vol. 22(1), pages 106-110, September.
    • Handle: RePEc:inm:ormnsc:v:22:y:1975:i:1:p:106-110
    DOI: 10.1287/mnsc.22.1.106
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    Cited by:

    1. Benjamin Legros, 2022. "The principal-agent problem for service rate event-dependency," Post-Print hal-03605421, HAL.
    2. Legros, Benjamin, 2022. "The principal-agent problem for service rate event-dependency," European Journal of Operational Research, Elsevier, vol. 297(3), pages 949-963.
    3. Benjamin Legros, 2021. "Age-based Markovian approximation of the G/M/1 queue," Post-Print hal-03605431, HAL.

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