Abstract
The optimal velocity (OV) model was proposed to explain the physical mechanism of jam formation. The emergence of a traffic jam can be understood as a kind of dynamical phase transition. We confirmed the physical mechanism by two experiments. In this study, we investigate the relation between experimental results and observations of real traffic based on the OV model. In the OV model, the critical density at which a traffic jam occurs is determined by the OV function. The OV function is estimated from data of headway and velocity obtained by the experiments. Then, we propose a scaling rule of the OV function from the experiments to real traffic. Using this rule, we obtain critical density as a function of a single parameter. The obtained critical density is consistent with the observed values for highway traffic. From this result, we conclude that the jam formation in real traffic is explained by the same mechanism as the circuit experiments.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bando, M., Hasebe, K., Nakanishi, K., Nakayama, A.: Analysis of optimal velocity model with explicit delay. Phys. Rev. E 58(5), 5429 (1998)
Bando, M., Hasebe, K., Nakanishi, K., Nakayama, A.: Delay of vehicle motion in traffic dynamics. Jpn. J. Ind. Appl. Math. 17(2), 275–294 (2000)
Bando, M., Hasebe, K., Nakayama, A., Shibata, A., Sugiyama, Y.: Structure stability of congestion in traffic dynamics. Jpn. J. Ind. Appl. Math. 11(2), 203–223 (1994)
Bando, M., Hasebe, K., Nakayama, A., Shibata, A., Sugiyama, Y.: Dynamical model of traffic congestion and numerical simulation. Phys. Rev. E 51(2), 1035 (1995)
Hall, F.L., Allen, B.L., Gunter, M.A.: Empirical analysis of freeway flow-density relationships. Trans. Res. Part A Gen. 20(3), 197–210 (1986)
Kikuchi, M., Nakayama, A., Nishinari, K., Sugiyama, Y., Tadaki, S., Yukawa, S.: Long-term traffic data from Japanese expressway. In: Traffic and Granular Flow’01, pp. 257–262. Springer (2003)
Koshi, M., Iwasaki, M., Ohkura, I.: Some findings and an overview on vehicular flow characteristics. In: Proceedings of the 8th International Symposium on Transportation and Traffic Flow Theory, vol. 198, pp. 403–426. University of Toronto: Toronto, Ontario (1983)
Nakanishi, K., Itoh, K., Igarashi, Y., Bando, M.: Solvable optimal velocity models and asymptotic trajectory. Phys. Rev. E 55(6), 6519 (1997)
Neubert, L., Santen, L., Schadschneider, A., Schreckenberg, M.: Single-vehicle data of highway traffic: a statistical analysis. Phys. Rev. E 60(6), 6480 (1999)
Nishinari, K.: Jamology: physics of self-driven particles and toward solution of all jams. In: Distributed Autonomous Robotic Systems 8, pp. 175–184. Springer (2009)
Oba, T.: An experimental study on car-following behavior. Ph.D. thesis, Thesis of Master of Engineering, University of Tokyo (1988)
Sugiyama, Y., Fukui, M., Kikuchi, M., Hasebe, K., Nakayama, A., Nishinari, K., Tadaki, S.I., Yukawa, S.: Traffic jams without bottlenecks experimental evidence for the physical mechanism of the formation of a jam. New J. Phys. 10(3), 033001 (2008)
Sugiyama, Y.B., Yamada, H.: Simple and exactly solvable model for queue dynamics. Phys. Rev. E 55(6), 7749 (1997)
Tadaki, S.I., Kikuchi, M., Fukui, M., Nakayama, A., Nishinari, K., Shibata, A., Sugiyama, Y., Yosida, T., Yukawa, S.: Phase transition in traffic jam experiment on a circuit. New J. Phys. 15(10), 103034 (2013)
Wardrop, J.: Experimental speed/flow relations in a single lane. In: Proceedings of the 2nd International Symposium on the Theory of Road Traffic Flow. Ed. J. Almond OECD (1965)
Xing, J.: A study on the bottleneck phenomenon and car-following behavior on motorways. Ph.D. thesis, Thesis of Doctor of Engineering, University of Tokyo (1992)
Acknowledgements
We thank Nagoya Dome Ltd., where the experiment was conducted, and SICK K.K. for their technical support with the laser scanner. We also thank H. Oikawa and the students of Nakanihon Automotive College for their assistance with this experiment. This work was partly supported by the Mitsubishi Foundation and JSPS KAKENHI Grant Number 20360045.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Nakayama, A., Kikuchi, M., Shibata, A., Sugiyama, Y., Tadaki, Si., Yukawa, S. (2016). Scaling from Circuit Experiment to Real Traffic Based on Optimal Velocity Model. In: Knoop, V., Daamen, W. (eds) Traffic and Granular Flow '15. Springer, Cham. https://doi.org/10.1007/978-3-319-33482-0_66
Download citation
DOI: https://doi.org/10.1007/978-3-319-33482-0_66
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-33481-3
Online ISBN: 978-3-319-33482-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)