relation: http://eprints.zu.edu.ua/13247/
title: Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer
creator: Rodríguez-Saіd, R. D.
creator: Pogorui, A. A.
creator: Rodríguez-Dagnіno, Ramón М.
subject: Математичний аналіз
description: 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.
publisher: ROSE
date: 2007
type: Стаття
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13247/1/rose.2007.012.pdf
identifier:   Rodríguez-Saіd, R. D., Pogorui, A. A., Rodríguez-Dagnіno, Ramón М.  (2007) Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer.  Stochastic Eqs (15).  с. 181-204.      
language: english