Geodesic
Stability analysis of queueing systems
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 3, Tome 87 (1979), pp. 41-61

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The paper contains a review of some results on stability of queueing systems obtained by the authors by means of trial functions method (analogous to Lyapunov's direct method). Besides the paper contains some new results on stability of regenerative processes. All the qualitative assertions accompanied by a construction of qualitative estimations. 
@article{ZNSL_1979_87_a4,
     author = {V. V. Kalashnikov and G. Sh. Tsitsiashvili},
     title = {Stability analysis of queueing systems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {41--61},
     publisher = {mathdoc},
     volume = {87},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_87_a4/}
}
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V. V. Kalashnikov; G. Sh. Tsitsiashvili. Stability analysis of queueing systems. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 3, Tome 87 (1979), pp. 41-61. http://geodesic.mathdoc.fr/item/ZNSL_1979_87_a4/