Geodesic
Stationary flows in acyclic queuing networks
Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 2, pp. 223-228

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In this paper an open acyclic queuing network with exponentially distributed service times is considered. Using a transformation of this network to a network of multiphase type it is proved that its flows are Poisson and some of these flows are independent. Applications to systems with retrial queues are described. 
@article{DVMG_2016_16_2_a9,
     author = {G. Sh. Tsitsiashvili and M. A. Osipova},
     title = {Stationary flows in acyclic queuing networks},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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G. Sh. Tsitsiashvili; M. A. Osipova. Stationary flows in acyclic queuing networks. Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 2, pp. 223-228. http://geodesic.mathdoc.fr/item/DVMG_2016_16_2_a9/