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

## 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

Item Type: | Article |
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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 |

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Deposited On: | 15 Jun 2012 08:03 |

Last Modified: | 06 Feb 2014 10:29 |

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