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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
2013
Number 2,
Pages
12–17
(Mi vmumm387)
Mathematics
One-channel system with unreliable server and different service times
A. V. Tkachenko
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
An
$M|GI|1|\infty$
queueing system is considered with an unreliable server and customer service times dependent on the system state. The ergodicity condition and generating function are found in the stationary mode.
Key words:
one channel queueing system, ergodicity, Laplace transformation, generating function.
UDC:
511
Received:
20.04.2012
Fulltext:
PDF file (223 kB)
References
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2013,
68
:2,
93–97
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025
Fulltext:
PDF file (223 kB)