Title: Modelling and control of a multimodal transportation system using hybrid Petri nets with fuzzy logic

Authors: Faiza Mahi; Ahmed Nait-Sidi-Moh; Fatima Debbat; Mohamed-Faycal Khelfi

Addresses: Mathematics and Computer Science Department, Faculty of Sciences and Technology, University of Mascara, Algeria ' Innovative Technologies Laboratory, INSSET – University of Picardie Jules Verne (UPJV), Saint-Quentin, France ' Mathematics and Computer Science Department, Faculty of Sciences and Technology, University of Mascara, Algeria ' Laboratory of Research in Industrial Computing and Networks, Faculty of Exact and Applied Sciences, University of Oran, Algeria

Abstract: This paper proposes a modelling and control approach using hybrid Petri nets (HPNs) together with fuzzy logic (FL) for modelling, analysis and control of a multimodal transportation system. More precisely, the study focuses on the improvement of users' service in terms of minimising their waiting times at the exchange platforms of passengers. Many studies have been developed in the literature for such problematic, and many modelling tools are proposed. In this paper, we focus on the use of HPN as a powerful tool to describe the discrete and continuous behaviour of such a system. The continuous part corresponds to the exchange of passenger flows between two different transportation modes (e.g., bus and train). While the discrete part represents the means of transportation as discrete entities. The system is evaluated and analysed using the HPN fundamental equation. Its evolution is studied and analysed using IB-state techniques. In the second step, the fuzzy logic techniques are used to control the system during its evolution in order to minimise the arrival gap of connected transportation means at the exchange points of passengers. An example of illustration is worked out and the obtained results are reported.

Keywords: hybrid Petri nets; HPNs; fuzzy logic; modelling; analysis; fuzzy control; multimodal transport systems; passenger waiting times; passenger flows; buses; trains.

DOI: 10.1504/IJSCC.2013.058179

International Journal of Systems, Control and Communications, 2013 Vol.5 No.3/4, pp.255 - 275

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 09 Dec 2013 *

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