Passive Robustness Computation Algorithm for Advance Time Disturbances in
Manufacturing Job-shops

Nabil JERBI^1*, Simon COLLART-DUTILLEUL²
¹ University of Sousse, Ecole Supérieure des Sciences et de la Technologie de Hammam Sousse,
Rue Lamine Abassi, Hammam Sousse, 4011, Tunisia
nabil.jerbi@isetso.rnu.tn (^*Corresponding author)
² Université Lille/Nord de France, Institut Français des Sciences et Technologies des Transports Architectures et Réseaux (IFSTTAR/COSYS/ESTAS),
Rue Elisée reclus 59666 Villeneuve d’Ascq, France
simon.collart-dutilleul@ifsttar.fr

ABSTRACT: In this paper the authors are interested in passive robustness of manufacturing job-shops with time constraints and particularly in the passive robustness facing advance time disturbances. The operation times are included between a minimum and a maximum value. P-time Petri nets are used for modeling. An algorithm allowing the computation of an advance passive robustness margin is elaborated relying on a study of the available local robustness at the synchronization transition of a mono-synchronized subpath. Moreover, a lemma is stated regarding constraints violation where the margin is calculated. The occurrence of a time disturbance respecting both the lemma conditions and the algorithm margin does not involve any constraints violation. The established results are illustrated step by step on examples of a given workshop.

KEYWORDS: P-time Petri net, Passive robustness, Time disturbance, Time constraints, Manufacturing.

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CITE THIS PAPER AS:
Nabil JERBI^*, Simon COLLART-DUTILLEUL, Passive Robustness Computation Algorithm for Advance Time Disturbances in Manufacturing Job-shops, Studies in Informatics and Control, ISSN 1220-1766, vol. 27(1), pp. 25-32, 2018. https://doi.org/10.24846/v27i1y201803