@article{zu213247,
          number = {15},
           title = {Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer},
          author = {R. D. Rodr{\'i}guez-Sa?d and A. A. Pogorui and Ram{\'o}n ?. Rodr{\'i}guez-Dagn?no},
       publisher = {ROSE},
            year = {2007},
           pages = {181--204},
         journal = {Stochastic Eqs},
             url = {http://eprints.zu.edu.ua/13247/},
        abstract = {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.}
}