RT Journal Article
T1 On extreme values of orbit lengths in M/G/1 queueswith constant retrial rate
A1 Gómez-Corral, Antonio
AB In the design of waiting facilities for the units in a retrial queue, it is of interest to know probability distributions of extreme values of the orbit length. The purpose of this paper is to investigate the asymptotic behavior of the maximum orbit length in the M/G/1 queue with constant retrial rate. as the time interval increases. From the classical extreme value theory, we observe that, under standard linear normalizations, the maximum orbit length up to the nth time the positive recurrent queue becomes empty does not have a limit distribution. However, by allowing the parameters to vary with n, we prove the convergence of maximum orbit lengths to three possible limit distributions when the traffic intensity rho (n) approaches I from below and it approaches infinity.
PB Springer
SN 0171-6468
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/57416
UL https://hdl.handle.net/20.500.14352/57416
LA eng
NO European Commission
NO Universidad Complutense de Madrid
NO DGES
DS Docta Complutense
RD 30 dic 2025