Modelling and Analysis of Supply Chains using Product Time Petri Nets

Supply chains involve geographically distributed manufacturing and assembly sites that must be coordinated under strict timing and resource constraints.While many existing approaches rely on Colored Petri Nets to model material flows, this work focuses on the temporal feasibility of supply chain processes.We propose a modular modelling approach based on Product Time Petri Nets (PTPNs), where each subsystem is represented independently and the global behaviour emerges through synchronised transition labels.A key feature of the model is the explicit representation of the supply chain manager as a critical shared and mobile resource, whose availability directly impacts system feasibility.We analyse how timing constraints and managerial capacity influence the system behaviour, identifying configurations that lead to successful executions, timeouts, or timelocks induced by incompatible timing constraints.This approach enables systematic what-if analysis of supply chain coordination policies and demonstrates the relevance of PTPNs for modelling and analysing synchronised timed systems.

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Publication Details

Journal
Electronic Proceedings in Theoretical Computer Science
Published
2026-04-03
DOI
https://doi.org/10.4204/eptcs.443.3
Primary Topic
Petri Nets in System Modeling
Type
article
Field-Weighted Citation Impact
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article

Modelling and Analysis of Supply Chains using Product Time Petri Nets

Electronic Proceedings in Theoretical Computer Science
Petri Nets in System Modeling
article

Modelling and Analysis of Supply Chains using Product Time Petri Nets

article en

Abstract

Supply chains involve geographically distributed manufacturing and assembly sites that must be coordinated under strict timing and resource constraints.While many existing approaches rely on Colored Petri Nets to model material flows, this work focuses on the temporal feasibility of supply chain processes.We propose a modular modelling approach based on Product Time Petri Nets (PTPNs), where each subsystem is represented independently and the global behaviour emerges through synchronised transition labels.A key feature of the model is the explicit representation of the supply chain manager as a critical shared and mobile resource, whose availability directly impacts system feasibility.We analyse how timing constraints and managerial capacity influence the system behaviour, identifying configurations that lead to successful executions, timeouts, or timelocks induced by incompatible timing constraints.This approach enables systematic what-if analysis of supply chain coordination policies and demonstrates the relevance of PTPNs for modelling and analysing synchronised timed systems.

Electronic Proceedings in Theoretical Computer ScienceVol. 443
École Centrale de Nantes (FR), Centre National de la Recherche Scientifique (FR), Université Fédérale de Toulouse Midi-Pyrénées (FR), Laboratoire des Sciences du Numérique de Nantes (FR), Nantes Université (FR)
Openalex Percentile: Top 29%
Petri Nets in System Modeling
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