RT Conference Proceedings
T1 Queueuing system with failures and priorities
A1 Atencia-McKillop, Iván
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Rodríguez, Pedro
A1 Galán-García, María Ángeles
K1 Sistemas de tiempo discreto
AB Queueing theory provides models, structural insights, problem solutions andalgorithms to many application areas. Due to its practical applicability toproduction, manufacturing, home automation, communications technology,etc, more and more complex systems requires more elaborated models, tech-niques, algorithm, etc. need to be developed. Discrete-time models are verysuitable in many situations and a feature that makes the analysis of discretetime systems technically more involved than its continuous time counterparts.In this paper we consider a discrete-time queueing system were failures inthe server can occur as-well as priority messages. The possibility of failuresof the server with general life time distribution is considered. We carry outan extensive study of the system by computing generating functions for thesteady-state distribution of the number of messages in the queue and in thesystem. We also obtain generating functions for the stationary distributionof the busy period and sojourn times of a message in the server and in thesystem. Performance measures of the system are also provided.
YR 2016
FD 2016-07-07
LK http://hdl.handle.net/10630/11772
UL http://hdl.handle.net/10630/11772
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026