Artalejo, Jesús R. and Chakravarthy , S. R. and Lopez-Herrero, M. J.
(2007)
*The busy period and the waiting time analysis of a MAP/M/c queue with finite retrial group.*
Stochastic Analysis and Applications, 25
(2).
pp. 445-469.
ISSN 0736-2994

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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/07362990601139651

## Abstract

We concentrate on the analysis of the busy period and the waiting time distribution of a multi-server retrial queue in which primary arrivals occur according to a Markovian arrival process (MAP). Since the study of a model with an infinite retrial group seems intractable, we deal with a system having a finite buffer for the retrial group. The system is analyzed in steady state by deriving expressions for (a) the Laplace–Stieltjes transforms of the busy period and the waiting time; (b) the probabiliy generating functions for the number of customers served during a busy period and the number of retrials made by a customer; and (c) various moments of quantites of interest. Some illustrative numerical examples are discussed.

Item Type: | Article |
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Additional Information: | J. R. Artalejo and M. J. Lopez-Herrero thank the support received from the research project MTM2005-01248. |

Uncontrolled Keywords: | Busy period, Markovian arrival process, Multi-server queue, Retrials, Waiting time |

Subjects: | Sciences > Mathematics > Operations research |

ID Code: | 15473 |

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Deposited On: | 04 Jun 2012 08:24 |

Last Modified: | 06 Feb 2014 10:25 |

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