RT Journal Article
T1 A Geo[X]/G[X]/1 retrial queueing system with removal work and total renewal discipline
A1 Atencia-McKillop, Iván
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Rodríguez-Cielos, Pedro
A1 Galán-García, María Ángeles
K1 Sistemas de tiempo discreto
K1 Colas de espera, Teoría de
AB In this paper we consider a discrete-time retrial queueing system with batch arrivals of geometric type and general batch services. The arriving group of customers can decide to go directly to the server expelling out of the system the batch of customers that is currently being served, if any, or to join the orbit. After a successful retrial all the customers in the orbit get service simultaneously. An extensive analysis of the model is carried out, and using a generating functions approach some performance measures of the model, such as the first distribution’s moments of the number of customers in the orbit and in the system, are obtained. The generating functions of the sojourn time of a customer in the orbit and in the system are also given. Finally, in the section of conclusions and research results the main contributions of the paper are commented.
PB Elsevier
YR 2018
FD 2018-02
LK https://hdl.handle.net/10630/29639
UL https://hdl.handle.net/10630/29639
LA eng
NO Ivan Atencia-Mc.Killop, José L. Galán-García, Gabriel Aguilera-Venegas, Pedro Rodríguez-Cielos, MÁngeles Galán-García, A Geo[X]/G[X]/1 retrial queueing system with removal work and total renewal discipline, Applied Mathematics and Computation, Volume 319, 2018, Pages 245-253, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2017.02.032.
NO Artículo definitivo disponible a través del doi:   10.1016/j.amc.2017.02.032
NO Proyecto TIN15-70266-C2-P-1
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026