V. Korolyk, Gh. Mishkoy, A. Mamonova, Iu. Griza, “Queuing system evolution in phase merging scheme”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, Number 3,Pages <nobr>83

Research articles

Queuing system evolution in phase merging scheme

V. Korolyk^a, Gh. Mishkoy^b, A. Mamonova^c, Iu. Griza^b

^a Academy of Sciences of Ukraine
^b Free International University of Moldova, Chisinau, Republic of Moldova
^c National University of State Takappa Service of Ukraine

Abstract: 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.

Keywords and phrases: Queuing systems, semi-Markov process, phase merging, average scheme, weak convergence, compensating operator.

MSC: 60K25, 68M20, 90B22

Received: 30.07.2008

Language: English