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

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 probabilitie...

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Bibliographic Details
Main Authors: Choi, B.D., Choi, S.H., Sung, D.K. Sung, Dan Keun, Lee, T.-H., Song, K.-S.
Format: Article in Journal/Newspaper
Language:English
Published: Hindawi Publishing Corporation 1999
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Online Access:http://hdl.handle.net/10203/77378
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Summary: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 nth 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. ��1999 by North Atlantic Science Publishing Company. 전기및전자공학과