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.
Buscar en Dimension