2026-06-01T18:57:06Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/117722026-02-03T12:30:34Zcom_10630_2254col_10630_37959

Queueuing system with failures and priorities Atencia-McKillop, Iván Galán-García, José Luis Aguilera-Venegas, Gabriel Rodríguez, Pedro Galán-García, María Ángeles Sistemas de tiempo discreto Queueing theory provides models, structural insights, problem solutions and algorithms to many application areas. Due to its practical applicability to production, 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 very suitable in many situations and a feature that makes the analysis of discrete time systems technically more involved than its continuous time counterparts. In this paper we consider a discrete-time queueing system were failures in the server can occur as-well as priority messages. The possibility of failures of the server with general life time distribution is considered. We carry out an extensive study of the system by computing generating functions for the steady-state distribution of the number of messages in the queue and in the system. We also obtain generating functions for the stationary distribution of the busy period and sojourn times of a message in the server and in the system. Performance measures of the system are also provided. 2016-07-07T12:11:21Z 2016-07-07T12:11:21Z 2016-07-07T12:11:21Z 2016-07-07 conference output http://hdl.handle.net/10630/11772 eng European Seminar on Computing Pilsen, República Checa 5/06/16 open access by-nc-nd