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Control design for untimed Petri nets using Markov Decision Processes

Daoui C., Lefebvre D.

Operations Research and Decisions

2017

Vol. 27, No. 4

27--43

Design of control sequences for discrete event systems (DESs) has been presented modelled by untimed Petri nets (PNs). PNs are well-known mathematical and graphical models that are widely used to describe distributed DESs, including choices, synchronizations and parallelisms. The domains of application include, but are not restricted to, manufacturing systems, computer science and transportation networks. We are motivated by the observation that such systems need to plan their production or services. The paper is more particularly concerned with control issues in uncertain environments when unexpected events occur or when control errors disturb the behaviour of the system. To deal with such uncertainties, a new approach based on discrete time Markov decision processes (MDPs) has been proposed that associates the modelling power of PNs with the planning power of MDPs. Finally, the simulation results illustrate the benefit of our method from the computational point of view.

Hybrid Petri nets traffic signal control

Tolba C., Lefebvre D., Thomas P., El Moudni A.

Zeszyty Naukowe. Transport / Politechnika Śląska

2003

z. 51

521-529

This paper begins an introduction. In section 2, the studied system (isolated crossroad) is described. A proposed hybrid Petri nets of traffic at crossroad and a multi-model approach are presented in section 3. The traffic signal control and the simulations results are reported in section 4. Finally, a conclusions and future works are given in section 5.

Artykuł koncentruje się na badaniu sygnalizacji ruchu opartej na modelach sieci Petriego. Ruch pojazdów jest zjawiskiem o charakterze hybrydowym, który przyjmuje formę ciągłą w odcinkach drogi oraz dyskretną na skrzyżowaniach. Stąd rozważono stałe sieci Petri ze zmienną prędkością (VCPN) oraz uzależnione czasowo sieci Petri (TPN) jako odpowiednie narzędzie do modelowania, analizy, oceny parametrów i projektu sterowania miejskimi i międzymiejskimi sieciami drogowymi.