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A note on the busy period of the M/G/1 queue with finite retrial group

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Artalejo, Jesús R. and Gómez-Corral, Antonio (2007) A note on the busy period of the M/G/1 queue with finite retrial group. Probability in the Engineering and Informational Sciences, 21 (1). pp. 77-82. ISSN 0269-9648

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Official URL: http://journals.cambridge.org/action/displayFulltext?type=1&fid=600996&jid=PES&volumeId=21&issueId=01&aid=600992


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Abstract

We consider an M/G/1 retrial queue with finite capacity of the retrial group. We derive the Laplace transform of the busy period using the catastrophe method. This is the key point for the numerical inversion of the density function and the computation of moments. Our results can be used to approach the corresponding descriptors of the M/G/1 queue with infinite retrial group, for which direct analysis seems intractable.


Item Type:Article
Additional Information:

This work was supported by MEC grant no. MTM2005-01248

Subjects:Sciences > Mathematics > Operations research
ID Code:15483
Deposited On:05 Jun 2012 09:26
Last Modified:06 Aug 2018 08:15

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