%0 Journal Article
%A Artalejo Rodríguez, Jesús Manuel
%A Economou, A.
%A López Herrero, María Jesús
%T Algorithmic analysis of the maximum queue length in a busy period for the M/M/c retrial queue
%D 2007
%@ 1091-9856
%U https://hdl.handle.net/20.500.14352/49934
%X This paper deals with the maximum number of customers in orbit (and in the system) during a busy period for the M/M/c retrial queue. Determining the distribution for the maximum number of customers in orbit is reduced to computation of certain absorption probabilities. By reducing to the single-server case we arrive at a closed analytic formula. For the multi-server case we develop an efficient algorithmic procedure for computation of this distribution by exploiting the special block-tridiagonal structure of the system. Numerical results illustrate the efficiency of the method and reveal interesting facts concerning the behavior of the M/M/c retrial queue.
%~