Article ID: | iaor2007978 |
Country: | Netherlands |
Volume: | 168 |
Issue: | 1 |
Start Page Number: | 686 |
End Page Number: | 703 |
Publication Date: | Sep 2005 |
Journal: | Applied Mathematics and Computation |
Authors: | Artalejo J.R., Apaolaza N.M. |
Keywords: | retrial queues |
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.