A Note On The Busy Period Of The M/G/1 Queue With Finite Retrial Group

  • Authors:

  • Jesus R. Artalejo;A. Gó/mez-corral

  • Affiliations:

  • Department of Statistics and Operations Research, Faculty of Mathematics, Complutense University of Madrid, 28040 Madrid, Spain, E-mail: jesus_artalejo@mat.ucm.es/ antonio_gomez@mat.ucm.es;Department of Statistics and Operations Research, Faculty of Mathematics, Complutense University of Madrid, 28040 Madrid, Spain, E-mail: jesus_artalejo@mat.ucm.es/ antonio_gomez@mat.ucm.es

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

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.