Invariant properties of queuing systems with multiple flows
G. Sh. Tsitsiashvili
Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
It is proved that in a single-server queuing system with exponentially distributed service time and intervals between the arrivals of customers, the stationary output flows coincide in distribution with independent Poisson input flows, provided that the server works if there are customers in the system.
queuing system with multiple flows, ergodicity, service discipline.
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G. Sh. Tsitsiashvili, “Invariant properties of queuing systems with multiple flows”, Dal'nevost. Mat. Zh., 18:2 (2018), 267–270
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\paper Invariant properties of queuing systems with multiple flows
\jour Dal'nevost. Mat. Zh.
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