RT Conference Proceedings
T1 A discrete-time queueing system with feedback and optional service
A1 Atencia-McKillop, Iván
A1 Merino-Córdoba, Salvador
A1 Guzmán-Navarro, Francisco
A1 Fortes-Ruiz, Inmaculada
A1 Sánchez, Sixto
K1 Colas de espera, Teoría de
AB Queueing systems constitute a central tool in modeling and performance analysis. Thesetypes of systems are in our everyday life activities, and the theory of queueing systems wasdeveloped to provide models for forecasting behaviors of systems subject to random demand.The practical and useful applications of the discrete-time queues make the researchers to con-tinue making an e ort in analyzing this type of models. Thus the present contribution relatesto a discrete-time Geo/G/1 queue in which some messages may need a second service timein addition to the  rst essential service. In day-to-day life, there are numerous examples ofqueueing situations in general, for example, in manufacturing processes, telecommunication,home automation, etc, but in this paper a particular application is the use of video surveil-lance with intrusion recognition where all the arriving messages require the main service andonly some may require the subsidiary service provided by the server with di erent types ofstrategies.We carry out a thorough study of the model, deriving analytical results for the stationarydistribution. The generating functions of the number of messages in the queue and in thesystem are obtained. The generating functions of the busy period as well as the sojourn timesof a message in the server, the queue and the system are also provided.
YR 2016
FD 2016-07-29
LK http://hdl.handle.net/10630/11921
UL http://hdl.handle.net/10630/11921
LA spa
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026