HOMOTHETIC APPROXIMATIONS FOR STOCHASTIC PN

Dimitri Lefebvre

2010

Abstract

Reliability analysis is often based on stochastic discrete event models like stochastic Petri nets. For complex dynamical systems with numerous components, analytical expressions of the steady state are tedious to work out because of the combinatory explosion with discrete models. For this reason, fluidification is an interesting alternative to estimate the asymptotic behaviour of stochastic processes with continuous Petri nets. Unfortunately, the asymptotic mean marking of stochastic and continuous Petri nets are mainly often different. This paper proposes a geometric approach that leads to a homothetic approximation of the stochastic steady state in specific regions of the marking space.

Paper Citation

in Harvard Style

Lefebvre D. (2010). HOMOTHETIC APPROXIMATIONS FOR STOCHASTIC PN . In Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ISBN 978-989-8425-01-0, pages 364-367. DOI: 10.5220/0002918003640367

in Bibtex Style

@conference{icinco10,
author={Dimitri Lefebvre},
title={HOMOTHETIC APPROXIMATIONS FOR STOCHASTIC PN},
booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},
year={2010},
pages={364-367},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002918003640367},
isbn={978-989-8425-01-0},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,
TI - HOMOTHETIC APPROXIMATIONS FOR STOCHASTIC PN
SN - 978-989-8425-01-0
AU - Lefebvre D.
PY - 2010
SP - 364
EP - 367
DO - 10.5220/0002918003640367