RT Journal Article
T1 A discrete-time Geo([X])/G/1 retrial queue with control of admission
A1 Artalejo Rodríguez, Jesús Manuel
A1 Atencia, I.
A1 Moreno, P.
AB This paper analyses adiscrete-timeGeo/G/1retrialqueue with batch arrivals in which individual arriving customers have acontrol of admission. We study the underlying Markov chain at the epochs immediately after the slot boundaries making emphasis on the computation of its steady-state distribution. To this end we employ numerical inversion and maximum entropy techniques. We also establish a stochastic decomposition property and prove that the continuous-timeM/G/1retrialqueue with batch arrivals and control of admission can be approximated by our discrete-time system. The outcomes agree with known results for special cases.
PB Elsevier Science Inc
SN 0307-904X
YR 2005
FD 2005-11
LK https://hdl.handle.net/20.500.14352/49997
UL https://hdl.handle.net/20.500.14352/49997
LA eng
NO The authors thank the referee for his comments on an earlier version of this paper. This research is supported by the DGINV through the project BFM2002-02189.
NO DGINV
DS Docta Complutense
RD 11 abr 2025