Artalejo, Jesús R. and Martín Apaolaza, Níriam (2005) On the time to reach a certain orbit level in multi-server retrial queues. Applied Mathematics and Computation, 168 (1). pp. 686-703. ISSN 0096-3003
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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
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.
|Uncontrolled Keywords:||Multi-server retrial queue; First passage time; Number of customers served; Moments; Numerical inversion|
|Subjects:||Sciences > Mathematics > Operations research|
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|Deposited On:||15 Jun 2012 08:03|
|Last Modified:||06 Feb 2014 10:29|
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