Conditions for stability and instability of retrial queueing systems with general retrial times

Details Conditions for stability and instability of retrial queueing systems with general retrial times Conditions for stability and instability of retrial queueing systems with general retrial times

2008-02-13

arxiv.org/abs/0802.1812v1

Statistics & Probability Letters (2008) STAPRO: 5118

Mathematics

Probability

Scientific paper

10.1016/j.spl.2008.06.019

We study the stability of single server retrial queues under general distribution for retrial times and stationary ergodic service times, for three main retrial policies studied in the literature: classical linear, constant and control policies. The approach used is the renovating events approach to obtain sufficient stability conditions by strong coupling convergence of the process modeling the dynamics of the system to a unique stationary ergodic regime. We also obtain instability conditions by convergence in distribution to improper limiting sequences.

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