Abstract
In road transportation networks, such as freeways, motorways or highways, variable speed limit (VSL) control is one of the most efficient strategies to substantially improve traffic flow and solve or reduce the congestion problem. One way to design control strategies applicable in real time is to represent the vehicle flows with a hybrid dynamic model. In this context, Batches Petri Nets (BPN) and their extensions, are well adapted for the modeling of such systems as they intend to model variable delays on continuous flows by adding special nodes, called batch nodes, to the continuous and hybrid Petri nets. Using BPN with controllable batch speed, this paper studies a portion of the A12 highway in The Netherlands. This hybrid representation leads to the evaluation of several real time VSL control laws in accordance with the accumulation front of vehicles.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Audry, N., Prunet, F.: Controlled Batches Petri nets. In: Int. Conference on Systems, Man and Cybernetics, IEEE/SMC, Vancouver, Canada, pp. 1849–1854 (1994)
David, R., Alla, H.: Discrete, Continuous and Hybrid Petri nets. Springer, Heidelberg (2005)
Demongodin, I.: Generalised Batches Petri Net: Hybrid model for high speed systems with variable delays. J. of Discrete Event Systems 11, 137–162 (2001)
Demongodin, I., Hzami, Z.: Modélisation et analyse de la circulation de véhicules par réseaux de Petri lots. In: 7ieme Conférence Francophone de Modélisation et Simulation, Paris, France (2008)
Di Febbraro, A., Sacco, N.: On modelling urban transportation networks via hybrid Petri nets. Control Engineering Practice 12, 1225–1239 (2004)
Hoogendoorn, S.P., Bovy, P.H.L.: State-of-the-art of vehicular traffic flow modeling. J. of Systems & Control Engineering 215, 283–303 (2001)
Júlvez, J., Boel, R.: Modelling and controlling traffic behavior with continuous Petri Nets. In: 16th IFAC World Congress, Prague (2005)
Kaakai, F., Hayat, S., El Moudni, A.: Quantitative assessment of travellers’connection times into a multimodal hub owing to batches Petri nets. In: 17th IMACS World Congress, Paris, France (2005)
Papageorgiou, M., Diakaki, C., Vaya, D., Apostolos, K., Wang, Y.: Review of road traffic control strategies. Proc. of the IEEE 91(12), 2043–2067 (2003)
Papamichail, I., Kampitaki, K., Papageorgiou, M., Messmer, A.: Integrated Ramp Metering and Variable Speed Limit Control of Motorway Traffic Flow. In: 17th IFAC World Congress, Seoul, Korea, pp. 14084–14089 (2008)
Pinna, A.: Modeling, Calibration and Validation of Highway Traffic Networks. Master thesis, Delft University of Technology / University of Cagliari (2007)
Terzi, L.: Modeling and analysis of urban and highway traffic systems by batches Petri nets. Master thesis, Politechnica univ. Bucarest / University of Aix-Marselle (2008)
Tolba, C., Lefebvre, D., Thomas, P., El Moudni, A.: Continuous and timed Petri nets for the macroscopic and microscopic traffic flow control. Simulation Modelling Practice and Theory 13, 407–436 (2005)
Wang, Y., Zhou, C.: Fluid based simulation approach for high volume conveyor transportation systems. J. of Systems Science and Systems Engineering 13(3), 297–317 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Demongodin, I. (2009). Modeling and Analysis of Transportation Networks Using Batches Petri Nets with Controllable Batch Speed. In: Franceschinis, G., Wolf, K. (eds) Applications and Theory of Petri Nets. PETRI NETS 2009. Lecture Notes in Computer Science, vol 5606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02424-5_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-02424-5_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02423-8
Online ISBN: 978-3-642-02424-5
eBook Packages: Computer ScienceComputer Science (R0)