An M/G/1 retrial queue with recurrent customers and general retrial times

摘要

This paper relates to an M/G/1 retrial queue with two types of customers: transit customers, who arrive according to a Poisson process, and a fixed number of recurrent customers, who immediately return to the orbit after having received a service. We first present the ergodicity condition for the system to be stable and derive analytical results for the stationary distribution as well as some performance measures of the system. A stochastic decomposition law for this retrial queuing system is established too. Finally, some numerical examples are studied.