RT Conference Proceedings
T1 A Non Markovian Retrial Queueing System
A1 Atencia-McKillop, Iván
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Rodríguez-Cielos, Pedro
A1 Galán-García, María Ángeles
A1 Padilla-Domínguez, Yolanda Carmen
A1 Rodríguez-Padilla, Pablo
K1 Markov, Espectro
AB Researches on retrial queues with non-geometrical retrial times is motivated by real computers and telecommunication networks, where retrial times can hardly be geometrical distributed. The inherent difficulty with non-geometrical retrial times is caused by the fact that queueing models must keep track of the elapsed retrial time for each of possibly a very large number of customers in the orbit. This paper analyses a discrete-time Geo/G/1 retrial queue with general retrial times in which the arriving customers may opt to follow a LCFS-PR discipline or to join the orbit. The Markov chain underlying the system has been studied, the generating functions of the number of customers in the orbit and in the system as well as its expected values are derived. The stochastic decomposition law and, as an application, bounds for the proximity between the steady-state distribution for the system under study and its corresponding standard system has been derived.
YR 2022
FD 2022-06-13
LK https://hdl.handle.net/10630/24534
UL https://hdl.handle.net/10630/24534
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 3 mar 2026