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Original Articles

Blocking Probabilities for a Class of Two-Station Tandem Queueing Models

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Pages 331-345 | Received 01 Feb 1987, Published online: 31 May 2007
 

Abstract

We study a two-station tandem queueing system with a finite buffer of maximum size M (M≥0) between the stations. The first service station has L≥1(homogeneous) parallel servers with an unlimited waiting space, while at the second there are N≥1 (homogeneous) parallel servers. Assuming Poisson arrivals and exponential service times, we derive exact results for the blocking probabilities for some special cases, and we present a unified approach for the analysis of this class of models under saturation conditions. Practical applications of the model are also discussed.

Notes

Handled by the Department of Engineering Statistics and Applied Probability.

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