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Estimation of the production frequencies for manufacturing systems
Authors:LEFEBVRE   DIMITRI
Affiliation: UTBM-SeT, 90010 Belfort Cedex, France and GEII. IUT Belfort Montbéliard, 90016 Belfort Cedex, France
Abstract:{dagger}Email: dimitri.lefebvre{at}utbm.fr This work deals with the production frequencies estimation formanufacturing systems by measurement of the buffers content.The considered systems are modelled by continuous Petri nets.The estimation problem has exact and approximated solutionsthat are described. In the case of approximated solutions, theestimation error is also valued. At last, when the set of solutionscontains several elements, the Petri net evolution equationis completed to give one unique solution.
Keywords:continuous Petri nets   manufacturing systems   firing speeds vector   linear system inversion   Moore–  Penrose inverse
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