RT Journal Article
T1 Algorithmic analysis of the Geo/Geo/c retrial queue
A1 Artalejo Rodríguez, Jesús Manuel
A1 Economou, A.
A1 Gómez-Corral, Antonio
AB In this paper, we consider a discrete-time queue of Geo/Geo/c type with geometric repeated attempts. It is known that its continuous counterpart, namely the M/M/c queue with exponential retrials, is analytically intractable due to the spatial heterogeneity of the underlying Markov chain, caused from the retrial feature. In discrete-time, the occurrence of multiple events at each slot increases the complexity of the model and raises further computational difficulties. We propose several algorithmic procedures for the efficient computation of the main performance measures of this system. More specifically, we investigate the stationary distribution of the system state, the busy period and the waiting time. Several numerical examples illustrate the analysis.
PB Elsevier Science
SN 0377-2217
YR 2008
FD 2008-09-16
LK https://hdl.handle.net/20.500.14352/49926
UL https://hdl.handle.net/20.500.14352/49926
LA eng
NO Kapodistrias 70/4/6415 (University of Athens)
NO EPEAEKII-Pythagoras 70/3/7388 (European social fund and national resources)
DS Docta Complutense
RD 17 abr 2025