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Relationships between characteristics in periodic Poisson queues

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Abstract

We study single server periodic queues in the day equilibrium conditions. The following characteristics of interest are considered at time of dayt: Vp(t)-the work load, Lp(t)-the number of customers and up(t)-the departure rate. We give relationships between E[Vp(t)], E[Lp(t)] and up(t). We also prove that E[Vp(t)] < ∞ and E[Lp(t)] <∞ provided the second moment of the service time is finite.

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Authors and Affiliations

  1. Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland

    Tomasz Rolski

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  1. Tomasz Rolski
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Rolski, T. Relationships between characteristics in periodic Poisson queues. Queueing Syst 4, 17–26 (1989). https://doi.org/10.1007/BF01150853

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  • DOI: https://doi.org/10.1007/BF01150853

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