| Issue |
RAIRO-Oper. Res.
Volume 52, Number 4-5, October–December 2018
ROADEF 2017
|
|
|---|---|---|
| Page(s) | 1411 - 1428 | |
| DOI | https://doi.org/10.1051/ro/2018027 | |
| Published online | 06 December 2018 | |
A weak perturbation theory for approximations of invariant measures in M/G/1 model
LaMOS, University of Bejaia, Targua Ouzemour,
Bejaia
06000, Algeria.
* Corresponding author: issaadi_badredine@yahoo.fr
Received:
2
February
2017
Accepted:
27
April
2018
The calculation of the stationary distribution for a stochastic infinite matrix is generally difficult and does not have closed form solutions, it is desirable to have simple approximations converging rapidly to this distribution. In this paper, we use the weak perturbation theory to establish analytic error bounds for the M/G/1 model. Numerical examples are carried out to illustrate the quality of the obtained error bounds.
Mathematics Subject Classification: 68M20 / 60K25 / 60J10
Key words: Truncation / queueing system / weak stability / algorithm
© EDP Sciences, ROADEF, SMAI 2018
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