eprintid: 13247
rev_number: 17
eprint_status: archive
userid: 3588
dir: disk0/00/01/32/47
datestamp: 2014-10-21 07:23:19
lastmod: 2023-02-16 13:18:13
status_changed: 2014-10-21 07:23:19
type: article
metadata_visibility: show
title: Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer
language: english
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.
creators_name: Rodríguez-Saіd, R. D.
creators_name: Pogorui, A. A.
creators_name: Rodríguez-Dagnіno, Ramón М.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2007
publication: Stochastic Eqs
number: 15
publisher: ROSE
pagerange: 181-204
refereed: TRUE
citation:   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.      
document_url: http://eprints.zu.edu.ua/13247/1/rose.2007.012.pdf