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

• 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
• Subjects: North Atlantic
• Online Access: http://hdl.handle.net/10203/77378

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