Transient analysis of a queue with queue-length dependent MAP and its application to SS7 network

Bong Dae Choi, Sung Ho Choi, Dan Keun Sung, Tae-Hee Lee and Kyu-Seog Song

International Journal of Stochastic Analysis, 1999, vol. 12, 1-22

Abstract:

We analyze the transient behavior of a Markovian arrival queue with congestion control based on a double of thresholds, where the arrival process is a queue-length dependent Markovian arrival process. We consider Markov chain embedded at arrival epochs and derive the one-step transition probabilities. From these results, we obtain the mean delay and the loss probability of the n th arrival packet. Before we study this complex model, first we give a transient analysis of an MAP / M / 1 queueing system without congestion control at arrival epochs. We apply our result to a signaling system No. 7 network with a congestion control based on thresholds.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:607383

DOI: 10.1155/S1048953399000325

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