Abstract
It is a most common notion in traffic theory that driving in lanes and keeping lane changes to a minimum leads to smooth and laminar traffic flow, and hence to increased traffic capacity. On the other hand, there exist persistent vehicular traffic systems that are characterised by habitual disregarding of lane markings, and partial or complete loss of laminar traffic flow. Here, we explore the stability of such systems through a microscopic traffic flow model, where the degree of lane-discipline is taken as a variable, represented by the fraction of drivers that disregard lane markings completely. The results show that lane-free traffic may win over completely ordered traffic at high densities, and that partially ordered traffic leads to the poorest overall flow, while not considering the crash probability. Partial order in a lane-free system is similar to partial disorder in a lane-disciplined system in that both lead to decreased traffic capacity. This could explain the reason why standard enforcement methods, which rely on continuous increase of order, often fail to incur order to lane-free traffic systems. The results also provide an insight into the cooperative phenomena in open systems with self-driven particles.
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References
W. Leutzbach, Introduction to the Theory of Traffic Flow (Springer, Berlin, 1988)
D. Helbing, Verkehrsdynamik (Springer, Berlin, 1997)
Traffic and Granular Flow, edited by M. Schreckenberg, D.E. Wolf (Springer, Singapore, 1998)
B.S. Kerner, H. Rehborn, Phys. Rev. Lett. 49, 4030 (1997)
T. Nagatani, K. Nakanishi, H. Emmerich, J. Phys. A 31, 5431 (1998)
B.S. Kerner, P. Konhaeuser, Phys. Rev. E 48, R233 (1993)
R.D. Kuehne, in Proceedings of the 9th International Symposium on Transportation and Traffic Theory, edited by I. Volmuller, R. Hamerslag (VNU Science Press, Utrecht, 1984), pp. 21−42
R.D. Kuehne, in Proceedings of the 10th International Symposium on Transportation and Traffic Theory, edited by N.H. Gartner, N.H.M. Wilson (Elsevier, New York, 1987), pp. 119−137
B.S. Kerner, P. Konhaeuser, Phys. Rev. E 50, 54 (1994)
B.S. Kerner, H. Rehborn, Phys. Rev. E 53, R4275 (1996)
D. Helbing, M. Treiber, Phys. Rev. Lett. 81, 3042 (1998)
R. Herman, K. Gardels, Sci. Am. 209, 35 (1963)
D.C. Gazis, Science 157, 273 (1967)
R.W. Rothery, Transportation Research Board (TRB) Special Report 165, in Traffic Flow Theory, edited by N. Gartner, C.J. Messner, A.J. Rathi, 2nd edn. (1998)
A. Reuschel, Öesterreichisches Ingenieur-Archiv 4, 193 (1950)
A. Reuschel, Z. Oester, Ing. Arch. Ver. 95, 59 (1950)
L.A. Pipes, J. Appl. Phys. 24, 274 (1953)
G.F. Newell, Operations Res. 9, 209 (1961)
M. Bando, K. Hasebe, A. Nakayama, A. Shibata, Y. Sugiyama, Phys. Rev. E 51, 1035 (1995)
P.G. Gipps, Transportation Res. B 15, 105 (1981)
S. Krauss, Ph.D. thesis, Cologne, 1998
D. Helbing, B. Tilch, Phys. Rev. E 58, 133 (1998)
L.C. Davis, Phys. Rev. E 69, 161081 (2004)
A.K. Maurya, P. Chakroborty, in Proceedings of the International Conference on Best Practices to Relieve Congestion on Mixed Urban Streets in Developing Countries, Chennai, 2008, pp. 165–174
G. Asaithambi, V. Kanagaraj, K. Srinivasan, R. Srinivasan, Mixed Traffic Characteristics on Urban Arterials with Significant Volumes of Motorized Two-Wheeler Volumes: Role of Composition, Intra-Class Variability, and Lack of Lane Discipline, Prod. Transportation Research Board, 91st Annual Meeting, Washington DC, Paper #12-4303 (2012)
A. Nakayama, K. Hasebe, Y. Sugiyama, Comput. Phys. Commun. 177, 162 (2007)
M. Treiber, A. Hennecke, D. Helbing, Phys. Rev. E 62, 1805 (2000)
M. Treiber, A. Kesting, Traffic Flow Dynamics (Springer, New York, 2012)
M. Treiber, D. Helbing, Phys. Rev. E 68, 46119 (2003)
T. Nagatani, Phys. Rev. E 58, 4271 (1998)
H. Ez-Zahraouy, A. Benyoussef, Eur. Phys. J. B 64, 573 (2008)
I. Lubashevsky, R. Mahnke, Phys. Rev. E 62, 6082 (2000)
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Assadi, H., Emmerich, H. Intelligent driving in traffic systems with partial lane discipline. Eur. Phys. J. B 86, 178 (2013). https://doi.org/10.1140/epjb/e2013-30511-0
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DOI: https://doi.org/10.1140/epjb/e2013-30511-0