CYCLE TIME OF P-TIME EVENT GRAPHS

Ph. Declerck; Ab. Guezzi; J-L. Boimond

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Paper

CYCLE TIME OF P-TIME EVENT GRAPHS

In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 1: From Planning to Control of Manufacturing Systems, 489-495, 2007 , Angers, France

Authors: Ph. Declerck ; Ab. Guezzi and J-L. Boimond

Affiliation: LISA / ISTIA, University of Angers, France

Keyword(s): P-time Petri net, timed event graph, (max,+) algebra, cycle time, production rate.

Abstract: The dater equalities constitutes an appropriate tool which allows a linear description of Timed Event Graphs in the field of (max, +) algebra. This paper proposes an equivalent model in the usual algebra which can describe Timed and P-time Event Graphs. Considering 1-periodic behavior, the application of a variant of Farkas’ lemma allows the determination of upper and lower bounds of the production rate and necessary conditions of consistency.

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Paper citation in several formats:

Declerck, P.; Guezzi, A. and Boimond, J. (2007). CYCLE TIME OF P-TIME EVENT GRAPHS. In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics (ICINCO 2007) - Volume 1: From Planning to Control of Manufacturing Systems; ISBN 978-972-8865-82-5; ISSN 2184-2809, SciTePress, pages 489-495. DOI: 10.5220/0001637304890495

@conference{from planning to control of manufacturing systems07,
author={Ph. Declerck. and Ab. Guezzi. and J{-}L. Boimond.},
title={CYCLE TIME OF P-TIME EVENT GRAPHS},
booktitle={Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics (ICINCO 2007) - Volume 1: From Planning to Control of Manufacturing Systems},
year={2007},
pages={489-495},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001637304890495},
isbn={978-972-8865-82-5},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics (ICINCO 2007) - Volume 1: From Planning to Control of Manufacturing Systems
TI - CYCLE TIME OF P-TIME EVENT GRAPHS
SN - 978-972-8865-82-5
IS - 2184-2809
AU - Declerck, P.
AU - Guezzi, A.
AU - Boimond, J.
PY - 2007
SP - 489
EP - 495
DO - 10.5220/0001637304890495
PB - SciTePress