Abstract
Consideration was given to the multiserver queuing system with semi-Markov input flow, Markov servicing, and (in)finite-capacity buffer. The stationary distributions of its main servicing characteristics were established using the method of embedded Markov chain.
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REFERENCES
Bocharov, P.P., d'Apice, S.D., Pechinkin, A.V., and Salerno, S., Stationary Characteristics of the G=MSP=1=r Queuing System, Avtom. Telemekh., 2003, no. 2, pp. 127–143.
Bocharov, P.P. and Pechinkin, A.V., Teoriya massovogo obsluzhivaniya (Queuing Theory), Moscow: Ross. Univ. Druzhby Narodov, 1995.
Neuts, M.F., Matrix-geometric Solutions in Stochastic Models. An Algorithmic Approach, London: Johns Hopkins Univ. Press, 1981.
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Pechinknin, A.V., Chaplygin, V.V. Stationary Characteristics of the SM/MSP/n/r Queuing System. Automation and Remote Control 65, 1429–1443 (2004). https://doi.org/10.1023/B:AURC.0000041421.62689.a8
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DOI: https://doi.org/10.1023/B:AURC.0000041421.62689.a8