Geodesic
Queuing system evolution in phase merging scheme
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2008), pp. 83-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study asymptotic average scheme for semi-Markov queuing systems using compensating operator of the corresponding extended Markov process. The peculiarity of our queuing system is that the series scheme is considered with phase merging procedure. 
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V. Korolyk; Gh. Mishkoy; A. Mamonova; Iu. Griza. Queuing system evolution in phase merging scheme. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2008), pp. 83-88. http://geodesic.mathdoc.fr/item/BASM_2008_3_a8/

[1] Korolyuk V.S., Limnios N., Stochastic Systems in Merging Phase Space, World Scientific, 2005 | Zbl

[2] Anisimov V.V., Lebedev E.A., Stochastic Queuing Networks. Markov Models, K. Lybid, 1992 (in Ukrainian)

[3] Korolyuk V.S., Stochastic models of systems, Kluwer, 1999

[4] Lebedev E.A., “On limit theorem for stochastic networks and its application”, Theory of Probability and Math. St., 2002, 94–98 (in Ukrainian)

[5] Mamonova G.V., “Ekappaploited queuing system $[SM|M|\infty]^N$ type in average scheme”, Proceedings of the 31th Annual Congress of the American Proceeding of the Applied Mathematics and Mechanics Institute, vol. 10, 2005, 135–144 (in Ukrainian) | MR | Zbl