Abstract:
We consider a multiline queueing system with joint or single queries. The number of queries in a connection is random and is not known when the connection is established. Queries arriving during each connection are described by the phase type input steam. Accepting a connection in the system is restricted by tokens. Connections arriving when no free tokens are present are refused. Single queries arrive without tokens. If the number of free slots in the system is not enough, the system is blocked.
Presented by the member of Editorial Board:S. F. Yashkov
Citation:
S. A. Dudin, “The servicing system MAP(PH)+MAP/PH/N/R as a model of optimizing an HTTP server with blockings”, Avtomat. i Telemekh., 2010, no. 1, 34–45; Autom. Remote Control, 71:1 (2010), 28–38
\Bibitem{Dud10}
\by S.~A.~Dudin
\paper The servicing system $MAP(PH)+MAP/PH/N/R$ as a~model of optimizing an $HTTP$ server with blockings
\jour Avtomat. i Telemekh.
\yr 2010
\issue 1
\pages 34--45
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\transl
\jour Autom. Remote Control
\yr 2010
\vol 71
\issue 1
\pages 28--38
\crossref{https://doi.org/10.1134/S0005117910010030}
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Linking options:
https://www.mathnet.ru/eng/at3
https://www.mathnet.ru/eng/at/y2010/i1/p34
This publication is cited in the following 2 articles:
V. M. Vishnevskii, A. N. Dudin, “Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks”, Autom. Remote Control, 78:8 (2017), 1361–1403
Burkatovskaya Yu., Kabanova T., Vorobeychikov S., “Cusum Algorithms For Parameter Estimation in Queueing Systems With Jump Intensity of the Arrival Process”, Information Technologies and Mathematical Modelling: Queueing Theory and Applications, Itmm 2015, Communications in Computer and Information Science, 564, eds. Dudin A., Nazarov A., Yakupov R., Springer-Verlag Berlin, 2015, 275–288