Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 4, Pages 8–14 (Mi vmumm506)  
Mathematics

Two-phase queuing system with unreliable servers

I. V. Rudenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A two-phase queueing system with a finite number of places in the buffer between the phases and unreliable servers is considered. It is shown that the queueing system can be interpreted as a queue functioning in a random environment. The ergodicity condition is found. The asymptotics of the traffic coefficient is obtained for the exponential case.
Key words: multiphase queueing systems, ergodicity condition, traffic coefficient.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00266a
Received: 17.07.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 4, Pages 145–150
DOI: https://doi.org/10.3103/S002713221204002X
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: I. V. Rudenko, “Two-phase queuing system with unreliable servers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 4, 8–14; Moscow University Mathematics Bulletin, 67:4 (2012), 145–150
Citation in format AMSBIB
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\pages 145--150
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