%0 Journal Article
%A Artalejo Rodríguez, Jesús Manuel
%A Chakravarthy, S. R.
%A López Herrero, María Jesús
%T The busy period and the waiting time analysis of a MAP/M/c queue with finite retrial group
%D 2007
%@ 0736-2994
%U https://hdl.handle.net/20.500.14352/49977
%X We concentrate on the analysis of the busy period and the waiting time distribution of a multi-server retrial queue in which primary arrivals occur according to a Markovian arrival process (MAP). Since the study of a model with an infinite retrial group seems intractable, we deal with a system having a finite buffer for the retrial group. The system is analyzed in steady state by deriving expressions for (a) the Laplace–Stieltjes transforms of the busy period and the waiting time; (b) the probabiliy generating functions for the number of customers served during a busy period and the number of retrials made by a customer; and (c) various moments of quantites of interest. Some illustrative numerical examples are discussed.
%~