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On the time to reach a certain orbit level in multi-server retrial queues

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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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Official URL: http://www.sciencedirect.com/science/article/pii/S0096300304006320


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Abstract

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


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Additional Information:

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
ID Code:15644
Deposited On:15 Jun 2012 08:03
Last Modified:06 Aug 2018 10:00

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