RT Journal Article
T1 A note on the busy period of the M/G/1 queue with finite retrial group
A1 Artalejo Rodríguez, Jesús Manuel
A1 Gómez-Corral, Antonio
AB 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.
PB Cambridge University Press
SN 0269-9648
YR 2007
FD 2007-01
LK https://hdl.handle.net/20.500.14352/49978
UL https://hdl.handle.net/20.500.14352/49978
LA eng
NO 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.
NO This work was supported by MEC grant no. MTM2005-01248
NO MEC
DS Docta Complutense
RD 16 may 2024