%0 Journal Article %A Artalejo Rodríguez, Jesús Manuel %A Martín Apaolaza, Níriam %T On the time to reach a certain orbit level in multi-server retrial queues %D 2005 %@ 0096-3003 %U https://hdl.handle.net/20.500.14352/50014 %X Multi-server retrial queues are widely used to model stochastically many telephone systems and computer networks. This paper studies the distribution of the time needed to reach a certain level of congestion, i.e., a given number of customers in the retrial group. We present a detailed algorithmic analysis which includes the computation of the time to reach a critical number of customers (continuous descriptor), the number of customers served during such a time (discrete descriptor) and the corresponding moments for both queueing performance measures %~