IJPAM: Volume 106, No. 2 (2016)

MATHEMATICAL MODEL OF A QUEUING SYSTEM WITH
ARBITRARY QUANTITY OF SOURCES AND
SIZE-LIMITED QUEUE

Alexander Kirpichnikov$^1$, Anton Titovtsev$^2$
$^1$Kazan National Research Technological University
68, K. Marksa, Kazan, 420015, RUSSIA
$^2$Kazan National Research Technological University
68, K. Marksa, Kazan, 420015 RUSSIA


Abstract. The paper presents a mathematical model of an open multi-channel queuing system having m service facilities of identical efficiency with exponentially distributed service time. The input stream of Poisson character includes demands of different types arriving from an arbitrary quantity of sources h and having various size-limited queues. General mathematical formulae for probabilistic characteristics, first and second moments of numerical characteristics specifying the quality of service in a steady-state mode of work have been obtained.

Received: December 16, 2015

AMS Subject Classification: 60K25

Key Words and Phrases: queue, quality of service (QoS), queuing system, M/M/m/K, service facility

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DOI: 10.12732/ijpam.v106i2.27 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 649 - 661


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