×

A novel hybrid Petri net model for urban intersection and its application in signal control strategy. (English) Zbl 1294.93056

Summary: A signal control strategy based on model reference adaptive control is investigated with a new hybrid Petri net model for urban intersection in artery. The hybrid petri net intersection model is simplified via the token transition. The new model can be more in touch with facts through the waiting zones and addition phases. The hybrid petri net is innovatively used as the reference model in the model reference adaptive control method. The predicted traffic flow is precisely computed by the support vector machine. Finally, a series of simulation results with the practical data verify the feasibility of the novel arterial Petri net model and the effectiveness of the control strategy.

MSC:

93C65 Discrete event control/observation systems
92C50 Medical applications (general)
93C40 Adaptive control/observation systems
93A30 Mathematical modelling of systems (MSC2010)
Full Text: DOI

References:

[1] Sánchez, Nuria, ITS-based cooperative services development framework for improving safety of vulnerable road users, IET Intell. Transp. Syst., 7, 2, 236-243 (2013)
[2] Dotoli, Mariagrazia; Fanti, Maria Pia; Meloni, Carlo, A signal timing plan formulation for urban traffic control, Control Eng. Pract., 14, 11, 1297-1311 (2006)
[3] Webster, F. V., Traffic signal setting, Road Res., Great Br. Road Res. Lab., 39, 50-58 (1952)
[4] Akcelik, R.; Maher, M. J., Route control of traffic in urban road networks: review and principles, Transp. Res., 11, 1, 15-24 (1977)
[5] Benekohal, Rahim F.; El-Zohairy, Yoassry M., Multi-regime arrival rate uniform delay models for signalized intersections, Transp. Res. Part A: Policy Pract., 35, 7, 625-667 (2001)
[6] Febbraro, Angela Di; Sacco, Nicola, On modelling urban transportation networks via hybrid Petri nets, Control Eng. Pract., 12, 10, 1225-1239 (2004)
[7] Mosterman, Pieter J.; Biswas, Gautam, A theory of discontinuities in physical system models, J. Franklin Inst., 335, 3, 401-439 (1998) · Zbl 0900.93030
[8] Dotoli, M.; Fanti, M. P.; Iacobellis, G., An urban traffic network model by first order hybrid Petri nets, IEEE Int. Conf. Syst., Man Cybern., 1929-1934 (2008)
[9] Júlvez, Jorge; Boel, René K., A continuous Petri net approach for model predictive control of traffic systems, IEEE Trans. Syst., Man Cybern. Part A: Syst. Hum., 40, 4, 686-697 (2010)
[11] Jbira, M. K.; Ahmed, M., Computer simulation: a hybrid model for traffic signal optimization, J. Inf. Process. Syst., 7, 1, 1-16 (2011)
[12] Barzegar, Behnam, Fuzzy logic controller for traffic signal controller unit system and modeling with colored petri net, Ind. J. Sci. Technol., 4, 11, 1420-1428 (2011)
[13] Júlvez, Jorge; Boel, René K., A continuous Petri net approach for model predictive control of traffic systems, IEEE Trans. Syst., Man Cybern. Part A: Syst. Hum., 40, 4, 686-697 (2010)
[14] Jibra, M. K., A control strategy based on HPN and GRAFCET for real time traffic signal control, Comput. Sci., 2, 10, 6-12 (2011)
[15] Ng, Kok Mun; Reaz, Mamun Bin Ibne; Mohd Ali, Mohd Alauddin, A review on the applications of petri nets in modeling, analysis, and control of urban traffic, IEEE Trans. Intell. Transp. Syst., 2, 14, 858-870 (2013)
[16] Johnson, Alan W.; Jacobson, Sheldon H., A class of convergent generalized hill climbing algorithms, Appl. Math. Comput., 125, 2, 359-373 (2002) · Zbl 1032.90036
[17] Johnson, Alan W.; Jacobson, Sheldon H., On the convergence of generalized hill climbing algorithms, Discrete Appl. Math., 119, 1, 37-57 (2002) · Zbl 0994.90115
[18] Swan, Jerry, Searching the hyper-heuristic design space, Cogn. Comput., 1-8 (2013)
[19] Afshar, M. H., A parameter free Continuous Ant Colony Optimization Algorithm for the optimal design of storm sewer networks: constrained and unconstrained approach, Adv. Eng. Softw., 41, 2, 188-195 (2010) · Zbl 1182.65087
[20] Zhang, Xinming; Wang, Lirong; Huang, Bingyi, An improved niche ant colony algorithm for multi-modal function optimization, Instrum. Meas., Sensor Netw. Autom., 2 (2012)
[21] Blum, Christian; Dorigo, Marco, The hyper-cube framework for ant colony optimization, IEEE Trans. Syst., Man, Cybern., Part B: Cybern., 34, 2, 1161-1172 (2004)
[22] Patchararungruang, Sunthiti; Halgamuge, S.; Shenoy, Nirmala, Optimized rule-based delay proportion adjustment for proportional differentiated services, IEEE J. Select. Areas Commun., 23, 2, 261-276 (2005)
[23] al-Rifaie, Mohammad Majid; Bishop, John Mark; Caines, Suzanne, Creativity and autonomy in swarm intelligence systems, Cogn. Comput., 4, 3, 320-331 (2012)
[24] Motawej, Fadi; Bouyekhf, Rachid; Moudni, Abdellah El, A dissipativity-based approach to traffic signal control for an over-saturated intersection, J. Franklin Inst., 348, 4, 703-717 (2011) · Zbl 1214.90029
[25] Manchanda, P.; Kumar, J.; Siddiqi, A. H., Mathematical methods for modelling price fluctuations of financial times series, J. Franklin Inst., 344, 5, 613-636 (2007) · Zbl 1269.91061
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.