Geodesic
Queuing system evolution in phase merging scheme
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2008), pp. 83-88 
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/
@article{BASM_2008_3_a8,
     author = {V. Korolyk and Gh. Mishkoy and A. Mamonova and Iu. Griza},
     title = {Queuing system evolution in phase merging scheme},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {83--88},
     year = {2008},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2008_3_a8/}
}
TY  - JOUR
AU  - V. Korolyk
AU  - Gh. Mishkoy
AU  - A. Mamonova
AU  - Iu. Griza
TI  - Queuing system evolution in phase merging scheme
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2008
SP  - 83
EP  - 88
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BASM_2008_3_a8/
LA  - en
ID  - BASM_2008_3_a8
ER  - 
%0 Journal Article
%A V. Korolyk
%A Gh. Mishkoy
%A A. Mamonova
%A Iu. Griza
%T Queuing system evolution in phase merging scheme
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2008
%P 83-88
%N 3
%U http://geodesic.mathdoc.fr/item/BASM_2008_3_a8/
%G en
%F BASM_2008_3_a8

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

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.

[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