Relationships between characteristics in periodic Poisson queues |
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Authors: | Tomasz Rolski |
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Affiliation: | (1) Mathematical Institute, Wroc aw University, pl. Grunwaldzki 2/4, 50-384 Wroc aw, Poland |
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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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Keywords: | single server periodic queue output rate function queue length work load Little's formula |
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