%0 Journal Article
%A Rodríguez-Saіd, R. D.
%A Pogorui, A. A.
%A Rodríguez-Dagnіno, Ramón М.
%D 2007
%F zu2:13247
%I ROSE
%J Stochastic Eqs
%N 15
%P 181-204
%T Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer
%U http://eprints.zu.edu.ua/13247/
%X In this paper we study the stationary probability distribution of a system consisting of a finite capacity buffer connected to N equal customers with bursty on-off demands. We assume that the buffer is filled up at a constant rate and we analyze the case when this filling rate satisfies an optimization condition according to the customer demands. First, we consider semi-Markov on-off demands for the case N = 2 and we model the dynamics of the system using a semi-Markov evolution environment. We show that we can use the phase merging algorithm to reduce the problem to a Markov evolution environment case. Then, we generalize the results for any N using a birth-and-death process.