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

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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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
References:

Artalejo, J.R., Economou, A., & Lopez-Herrero, M.J. (2006). Algorithmic approximations for the busy period of the M/M/c retrial queue. European Journal of Operational Research, to appear.

Artalejo, J.R. & Falin,G.I.(1996). On the orbit characteristics of the M/G/1 retrial queue. Naval Research Logistics 43: 1147-1161.

Artalejo, J.R. & Lopez-Herrero, M.J. (2000). On the busy period of the M/G/1 retrial queue. Naval Research Logistics 47: 115-127.

Falin, G.I. & Templeton, J.G.C. (1997). Retrial queues. London: Chapman & Hall.

Leonard Kleinrock, Theory, Volume 1, Queueing Systems, Wiley-Interscience, 1975

Lopez-Herrero, M.J. (2006). A maximum entropy approach for the busy period of the M/G/1 retrial queue. Annals of Operations Research 141: 271-281.

Tijms, H.C. (2003). A first course in stochastic models. Chichester: Wiley.

Deposited On:05 Jun 2012 09:26
Last Modified:06 Feb 2014 10:25

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