A basically poisson queue with nonpoisson output

Nasser Hadidi

Naval Research Logistics Quarterly, 1974, vol. 21, issue 4, 659-662

Abstract: The output of the queueing system M/M/1 is well known to be Poisson. This has also been shown to be true for other more general models inclusive of M/Mn/1; the system in which arrivals and epochs of service completion are elements of a birth and death process with parameters Λ and nμ, respectively, when the system contains n ≥ 1 customers. We shall here show that this result is not true in MnM/1; a system where arrival parameter is state dependent quantity Λ/n+1. Expressions will be given for the steady state joint density of two consecutive output intervals as well as the coefficient of correlation between them.

Date: 1974
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:21:y:1974:i:4:p:659-662

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