Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 54359, 16 pages
doi:10.1155/JAMSA/2006/54359
Abstract
We consider in this paper the stability of retrial queues with a
versatile retrial policy. We obtain sufficient conditions for the
stability by the strong coupling convergence to a stationary
ergodic regime for various models of retrial queues including a
model with two types of customers, a model with breakdowns of the
server, a model with negative customers, and a model with batch
arrivals. For all the models considered we assume that the
service times are general stationary ergodic and interarrival
and retrial times are i.i.d. sequences exponentially
distributed. For the model with unreliable server we also assume
that the repair times are stationary and ergodic and the
occurrences of breakdowns follow a Poisson process.