RT Journal Article T1 On the time to reach a certain orbit level in multi-server retrial queues A1 Artalejo Rodríguez, Jesús Manuel A1 Martín Apaolaza, Níriam AB 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 PB Elsevier SN 0096-3003 YR 2005 FD 2005-09-01 LK https://hdl.handle.net/20.500.14352/50014 UL https://hdl.handle.net/20.500.14352/50014 LA eng NO The authors thank the support received from the research project BFM2002-02189. N.M. Apaolaza was supported by a grant (‘Formación de Investigadores’) awarded by the Basque Government. NO Basque Government DS Docta Complutense RD 9 abr 2025