@article {IOPORT.05592110,
    author       = {Rodr\'{\i}guez-Said, R.D. and Pogorui, A.A. and Rodr\'{\i}guez-Dagnino, R.M.},
    title        = {Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer.},
    year         = {2007},
    journal      = {Random Operators and Stochastic Equations},
    volume       = {15},
    number       = {2},
    issn         = {0926-6364},
    pages        = {181-204},
    publisher    = {Walter de Gruyter, Berlin},
    doi          = {10.1515/rose.2007.012},
    abstract     = {The case of an information server with a single buffer filled at a constant rate connected to $N$ equal customers with bursty on-off demands is considered. At the beginning the authors assume that the alternating demands can be modelled by a semi-Markov process for the case $N=2$. It is shown that the semi-Markov process can be reduced to a Markov process by lumping states according to the phase merging algorithm (see {\it A. N. Korlat, V. N. Kuznetsov, M. M. Novikov} and {\it A. F. Turbin} [Semi-Markov models of renewal systems and queueing systems, Kishinev: Shtiintsa (1991; Zbl 0778.60064)] and {\it V. S. Korolyuk} and {\it A. V. Swishchuk} [Semi-Markov random evolutions, Dordrecht: Kluwer Academic Publishers (1994; Zbl 0813.60083)]). The authors generalize the results using a birth-and-death process and obtain the stationary probability distribution for any number $N$ of customers.},
    reviewer     = {Rostyslav E. Yamnenko (Ky{\"\i}v)},
    identifier   = {05592110},
}