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1 Journal of Applied Mathematics and Computational Mechanics

1 2017

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Multi-server closed queueing system with limited buffer space

Tikhonenko A., Tikhonenko-Kędziak A.

Journal of Applied Mathematics and Computational Mechanics

2017

Vol. 16, nr 1

117--125

In the paper, we investigate multi-server closed queueing systems with identical servers and a finite number of terminals. Requests from each terminal are characterized by a random space requirement (volume), the request service time doesn’t depend on its volume and has an exponential distribution. The total requests capacity in the system is limited by a positive value (buffer space memory volume) V. For such systems, stationary requests number distribution and loss probability are determined. The analogous results for open multi-server systems are obtained as a limit case. Some numerical results are attached as well.