TY - JOUR ID - zu213247 UR - http://eprints.zu.edu.ua/13247/ IS - 15 A1 - Rodríguez-Sa?d, R. D. A1 - Pogorui, A. A. A1 - Rodríguez-Dagn?no, Ramón ?. Y1 - 2007/// N2 - 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. PB - ROSE JF - Stochastic Eqs TI - Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer SP - 181 AV - public EP - 204 ER -