2026-06-01T06:11:26Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/245342026-02-03T11:53:57Zcom_10630_2254col_10630_37959

00925njm 22002777a 4500 dc Atencia-McKillop, Iván author Galán-García, José Luis author Aguilera-Venegas, Gabriel author Rodríguez-Cielos, Pedro author Galán-García, María Ángeles author Padilla-Domínguez, Yolanda Carmen author Rodríguez-Padilla, Pablo author 2022-06-13 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. https://hdl.handle.net/10630/24534 Markov, Espectro A Non Markovian Retrial Queueing System