Geodesic
Queueing models with different schemes of customers transformation
Dalʹnevostočnyj matematičeskij žurnal, Tome 7 (2007) no. 1, pp. 101-107.

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This paper is devoted to a calculation of limit distributions in queueing systems and networks with different schemes of customers transformation. Models with customers: group arrival and dislocation, appearance and disappearance, division and aggregation and models with unreliable customers are considered. Product form limit distributions in these models are corollaries of the theorem 1 from [1] and equations of partial balance from [2]. 
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G. Sh. Tsitsiashvili; M. A. Osipova. Queueing models with different schemes of customers transformation. Dalʹnevostočnyj matematičeskij žurnal, Tome 7 (2007) no. 1, pp. 101-107. http://geodesic.mathdoc.fr/item/DVMG_2007_7_1_a9/

[1] G. Sh. Tsitsiashvili, M. A. Osipova, “Veroyatnostnoe raspredelenie v setyakh massovogo obsluzhivaniya s peremennoi strukturoi”, Problemy peredachi informatsii, 42:2 (2006), 101–108 | MR

[2] R. Serfozo, Introduction to Stochastic Networks, Springer Verlag, New York, 1999 | MR | Zbl

[3] G. I. Ivchenko, V. A. Kashtanov, I. N. Kovalenko, Teoriya massovogo obsluzhivaniya, M., 1982

[4] G. P. Basharin, A. L. Tolmachev, “Teoriya setei massovogo obsluzhivaniya i ee prilozheniya k analizu informatsionno-vychislitelnykh sistem”, Itogi nauki i tekhniki, ser. Teoriya veroyatnostei, M., 1983, 3–119 | MR