Summary
A new Public Conveyance Model (PCM) applicable to buses and trains is proposed in this study by using stochastic cellular automaton. We apply our PCM to the bus system and measure the efficiency of the system. By using mean field analysis, we estimate the average velocity and the waiting passengers in the low density limit. We have obtained the theoretical results which are in good agreement with numerical simulations. It is also observed clustering of vehicles which is caused by the time delay effect of passengers when they get on a vehicle. We have found that the big cluster of vehicles is divided into small clusters, by incorporating information of the number of vehicles between successive stops.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
B. Schmittmann and R.K.P. Zia, in: Phase Transition and Critical Phenomena, Vol. 17, eds. C. Domb and J.L. Lebowitz (Academic Press 1995).
B. Derrida, Phys. Rep. 301, 65 (1998).
G.M. Schütz, in Phase Transitions and Critical Phenomena, vol. 19 (Acad. Press, 2001).
D. Chowdhury, L. Santen and A. Schadschneider, Phys. Rep. 329, 199 (2000).
D. Helbing, Rev. Mod. Phys. 73, 1067 (2001).
A. Schadschneider, Physica A 313, 153 (2002).
T. Nagatani, Rep. Prog. Phys. 65, 1331 (2002).
D. Chowdhury, K. Nishinari, L. Santen and A. Schadschneider, Stochastic Transport in Complex Systems, Elsevier (2008).
O.J. O’Loan, M.R. Evans and M.E. Cates, Phys. Rev. E 58, 1404 (1998).
R. Jiang, B. Jia and Q.S. Wu, J. Phys. A: Math. Gen. 37, 2063 (2004).
A. Tomoeda, K. Nishinari, D. Chowdhury and A. Schadschneider, Physica A 384, 600 (2007).
D. Chowdhury, V. Guttal, K. Nishinari and A. Schadschneider, J. Phys. A: Math. Gen. 35, L573 (2002).
A. Kunwar, A. John, K. Nishinari, A. Schadschneider and D. Chowdhury, J. Phys. Soc. Jpn. 73, 2979 (2004).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tomoeda, A., Nishinari, K., Chowdhury, D., Schadschneider, A. (2009). A Public Conveyance Model and Analysis on Clustering of Vehicles. In: Appert-Rolland, C., Chevoir, F., Gondret, P., Lassarre, S., Lebacque, JP., Schreckenberg, M. (eds) Traffic and Granular Flow ’07. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77074-9_44
Download citation
DOI: https://doi.org/10.1007/978-3-540-77074-9_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77073-2
Online ISBN: 978-3-540-77074-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)