Simple error bounds for the QBD approximation of a special class of two dimensional reflecting random walks
Probability
2016-11-11 v2
Abstract
This paper considers the QBD approximation of a special class of two-dimensional reflecting random walks (2D-RRWs). A typical example of the 2D-RRWs is a two-node Jackson network with cooperative servers. The main contribution of this paper is to provide simple upper bounds for the relative absolute difference between the time-averaged functionals of the original 2D-RRW and its QBD approximation.
Keywords
Cite
@article{arxiv.1611.02407,
title = {Simple error bounds for the QBD approximation of a special class of two dimensional reflecting random walks},
author = {Hiroyuki Masuyama and Yutaka Sakuma and Masahiro Kobayashi},
journal= {arXiv preprint arXiv:1611.02407},
year = {2016}
}
Comments
This manuscript is the full version of the paper submitted to QTNA2016