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A NOTE ON THE BUSY PERIOD OF THE M/G/1 QUEUE WITH FINITE RETRIAL GROUP
Published online by Cambridge University Press: 15 December 2006
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.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 21 , Issue 1 , January 2007 , pp. 77 - 82
- Copyright
- © 2007 Cambridge University Press
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