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

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

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.

Suggested Citation

  • Bong Dae Choi & Sung Ho Choi & Dan Keun Sung & Tae-Hee Lee & Kyu-Seog Song, 1999. "Transient analysis of a queue with queue-length dependent MAP and its application to SS7 network," International Journal of Stochastic Analysis, Hindawi, vol. 12, pages 1-22, January.
    • Handle: RePEc:hin:jnijsa:607383
    DOI: 10.1155/S1048953399000325
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