Transient analysis of a queue with queue-length dependent MAP and its application to SS7 network. (1999)

• Record Type: Journal Article
• Authors: Choi, Bong Dae; Choi, Sung Ho; Sung, Dan Keun; Lee, Tae-Hee; Song, Kyu-Seog
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 12:Number 4(1999)
• Page Start: 371
• Page End: 392
• Publication Date: 1999
• Subjects: transient analysis of queue -- MAP -- congestion control -- SS7 network; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953399000325
• Languages: English
• ISSNs: 1048-9533

Abstract

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.