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Two Queues in Tandem Attended by a Single Server

Author

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  • Miguel Taube-Netto

    (Universidade Estadual de Campinas, Campinas, S.P., Brazil)

Abstract

This paper considers two service stages in tandem with infinite queue capacity in front of each stage. There is a single server who performs the service in both stages by switching from one stage to the other when the number of customers in the active stage reaches the value zero. The arrival process is assumed to be Poisson and the service processes are independent renewal processes. The state probabilities are obtained in the steady-state case. In addition (for the steady-state case), the Laplace-Stieltjes transform is obtained for the time a customer waits until the beginning of service in each stage, for the busy period of the server, and for the busy period of each stage.

Suggested Citation

  • Miguel Taube-Netto, 1977. "Two Queues in Tandem Attended by a Single Server," Operations Research, INFORMS, vol. 25(1), pages 140-147, February.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:1:p:140-147
    DOI: 10.1287/opre.25.1.140
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    Cited by:

    1. Nimrod Dvir & Refael Hassin & Uri Yechiali, 2020. "Strategic behaviour in a tandem queue with alternating server," Queueing Systems: Theory and Applications, Springer, vol. 96(3), pages 205-244, December.

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