Continuous and timed Petri nets for the macroscopic and microscopic traffic flow modelling

Simulation Modelling Practice and Theory

Volumn 13, Issue 5, 2005, Pages 407-436

  Tolba, C ^a   Lefebvre, D ^b   Thomas, P ^a   El Moudni, A ^a  

^a UNIVERSITÉ DE TECHNOLOGIE DE BELFORT MONTBÉLIARD   (France)

^b UNIVERSITY OF LE HAVRE   (France)

Author keywords

Continuous Petri nets; Discrete Petri nets; Macroscopic traffic modelling; Microscopic traffic modelling; Simulation

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; RANDOM PROCESSES; TRAFFIC CONTROL; VEHICLES;

CONTINUOUS PETRI NETS; DISCRETE PETRI NETS; MACROSCOPIC TRAFFIC MODELING; ROAD JUNCTIONS;

PETRI NETS;

EID: 19744373910     PISSN: 1569190X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.simpat.2005.01.001     Document Type: Article

References (23)

1. C. Buisson Analyse bibliographique et première classification des algorithmes de simulation de l'écoulement du trafic routier RTS 53 1996 35 48
2. S. Cohen Ingénierie du trafic routier: Eléments de théorie du trafic et applications 1990 Presses de l'école nationale des Ponts et chaussées
3. R. David, and H. Alla Petri nets and grafcet-tools for modelling discrete events systems 1992 Prentice Hall London
4. J.M. Del Castillo, A car following model based on the Lighthill and Whitham theory, in: Proc. ISTTT '96, Lyon, France,1996, pp. 103-118
5. F. DiCesare, P.T. Kulp, M. Gile, G. List, The application of Petri nets to the modelling, analysis and control of intelligent urban traffic networks, in: Proc. APN '94, Zaragoza, Spain, 1994, pp. 2-15
6. A. DiFebbraro, S. Sacone, Hybrid Petri nets for the performance analysis of transportation systems, in: Proc. IEEE CDC '98, Tampa, Florida, 1998, pp. 3232-3237
7. N. Elloumi, H. Haj-Salem, M. Papageorgiou, Metacor: Modèle d'écoulement du trafic sur un corridor, in: Modélisation du trafic, Actes no. 52 INRETS, France, 1994, pp. 37-59
8. H. Fùks, and N. Boccara Generalized deterministic traffic rules IJMP C 9 1 1998 1 12
9. D.C. Gazis, R. Herman, and R.W. Rothery Nonlinear car follow-the-leader models of traffic flow Oper. Res. 9 4 1961 545 567
10. D. Giglio, N. Sacco, Modelling and control urban traffic networks by means of hybrid Petri nets, Journées Doctorales d'Automatique, 2001. Available from < www.laas.fr/JDA2001/Actes/giglio.ps (last consult: October 03, 2004), 2001
11. D. Lefebvre; N. Zerhouni, A. El Moudni, A generalization of the continuous time Petri nets for the control design of manufacturing systems, in: Proc. IMACS '97, Berlin, Germany, 1997, pp. 389-394
12. M.J. Lighthill, and G.B. Whitham On kinematic waves, II: a theory of traffic flow on roads Proc. R. Soc. 229A 1955 317 345
13. E. Mancinelli; G. Cohen; S. Gaubert; J.P. Quadrat, E. Rofman, On traffic light control of regular towns, Rapport de recherche no. 4276, 15. Thème 4-Simulation et optimisation de systèmes complexes Projets METALAU (INRIA, 2001). Available from < www.inria.fr/rrrt/rr-4276.html (last consult: October 03, 2004), 2001>
14. A.D. May, H.E. Keller, Non-integer car following models, in: Highway Research Records No. 199, Washington DC, 1967, pp. 19-32
15. M.H. Molloy Performance analysis using stochastic Petri nets IEEE Trans. Comp. C-31 1982 913 917
16. T. Murata, N. Komoda, K. Matsumoto, and K. Haruna A Petri net-based controller for flexible and maintainable sequence control and its application in factory automation IEEE Trans. Ind. Electron. 33 1 1986 1 8
17. K. Nagel Particle hopping models and traffic flow theory Phys. Rev. E 53 5 1982 4655 4672
18. M. Papageorgiou Some remarks on macroscopic traffic flow modelling Transport. Res. A 32 5 1997 323 329
19. P.I. Richards Shock waves on a highway Oper. Res. 4 1 1956 42 51
20. J.H. Sifakis Use of Petri nets for performance evaluation Acta Cyber. 4 2 1978 185 202
21. C. Tolba, D. Lefebvre, P. Thomas, A. El Moudni, Continuous Petri nets models for the analysis of traffic urban networks, in: Proc. IEEE SMC '01, Arizona, USA, 2001, pp. 1323-1328
22. M. Silva, E. Teruel, Petri nets for design and operation of manufacturing systems, in: Proc.CIMAT '96, Lille, France, 1996, pp. 330-343
23. H. Wang, G.F. List, F. DiCesare, Modelling and evaluation of traffic signal control using timed Petri nets, in: CESA, vol. 2, Le Touquet, France, pp. 180-185, 1993