Sizing, Cycle Time and Plant Control Using Dioid Algebra View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2005

AUTHORS

Said Amari , Isabel Demongodin , Jean-Jacques Loiseau

ABSTRACT

Using an industrial process from the car sector, we show how dioid algebra may be used for the performance evaluation, sizing, and control of this discrete-event dynamic system. Based on a Petri net model as an event graph, max-plus algebra and min-plus algebra permit to write linear equations of the behavior. From this formalism, the cycle time is determined and an optimal sizing is characterized for a required cyclic behavior. Finally, a strict temporal constraint the system is subject to is reformulated in terms of inequalities that the (min, +) system should satisfy, and a control law is designed so that the controlled system satisfies the constraint. More... »

PAGES

71-85

References to SciGraph publications

Book

TITLE

Supply Chain Optimisation

ISBN

0-387-23566-3

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/0-387-23581-7_6

DOI

http://dx.doi.org/10.1007/0-387-23581-7_6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1028128603


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