Geodesic
Invariant properties of queuing systems with multiple flows
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 2, pp. 267-270

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{DVMG_2018_18_2_a13,
     author = {G. Sh. Tsitsiashvili},
     title = {Invariant properties of queuing systems with multiple flows},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {267--270},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2018_18_2_a13/}
}
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G. Sh. Tsitsiashvili. Invariant properties of queuing systems with multiple flows. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 2, pp. 267-270. http://geodesic.mathdoc.fr/item/DVMG_2018_18_2_a13/