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Authors: Samir Hamaci ; Jean-Louis Boimond and Sébastien Lahaye

Affiliation: LISA, France

ISBN: 972-8865-31-7

Keyword(s): Timed event graphs with multipliers, (min,+) algebra, linearization, cycle time.

Related Ontology Subjects/Areas/Topics: Discrete Event Systems ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: We are interested in the performance evaluation of timed event graphs with multipliers. The dynamical equation modelling such graphs are nonlinear in (min,+) algebra. This nonlinearity is due to multipliers and prevents from applying usual performance analysis results. As an alternative, we propose a linearization method in (min,+) algebra of timed event graphs with multipliers. From the obtained linear model, we deduce the cycle time of these graphs. Lower and upper linear approximated models are proposed when linearization condition is not satisfied.

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Paper citation in several formats:
Hamaci S.; Boimond J.; Lahaye S. and (2005). PERFORMANCE ANALYSIS OF TIMED EVENT GRAPHS WITH MULTIPLIERS USING (Min, +) ALGEBRA.In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 972-8865-31-7, pages 16-21. DOI: 10.5220/0001157700160021

@conference{icinco05,
author={Samir Hamaci and Jean{-}Louis Boimond and Sébastien Lahaye},
title={PERFORMANCE ANALYSIS OF TIMED EVENT GRAPHS WITH MULTIPLIERS USING (Min, +) ALGEBRA},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2005},
pages={16-21},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001157700160021},
isbn={972-8865-31-7},
}

TY - CONF

JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - PERFORMANCE ANALYSIS OF TIMED EVENT GRAPHS WITH MULTIPLIERS USING (Min, +) ALGEBRA
SN - 972-8865-31-7
AU - Hamaci, S.
AU - Boimond, J.
AU - Lahaye, S.
PY - 2005
SP - 16
EP - 21
DO - 10.5220/0001157700160021

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