Optimization of Vehicle Traffic at the Intersection of two urban streets

Authors

  • Ana-Virginia Contreras Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, MÉXICO
  • María-Elena Lárraga Instituto de Ingeniería, Universidad Nacional Autónoma de México, MÉXICO

DOI:

https://doi.org/10.30973/progmat/2009.1.1/3

Keywords:

Vehicle Traffic Optimization, Cellular Automata

Abstract

This article presents a new stochastic model for one urban street intersection, where each street has two flow lanes. The vehicular flow at the intersection is controlled by a set of stop lights that operate under a fixed time scheme. Vehicle dynamics is simulated within the framework of probabilistic cellular automata-based models. The objective is to optimize vehicular flow at the intersection of streets by minimizing the waiting time of vehicles per traffic light cycle. For this purpose, the waiting time experienced by vehicles that make up the vehicular flow at each intersection during specific time intervals is evaluated. Based on the results obtained, the optimal signaling time for the stop lights is determined to minimize the total waiting time for both streets and thus optimize traffic flow.

References

Chowdhury, D., Santen, L., Schadschneider, A.: Statistical Physics of Vehicular Traffic and Some Related Systems. Phys. Rep. 329-4 (2000) 199--329. https://doi.org/10.1016/S0370-1573(99)00117-9

Esser, J., Schreckenberg, M. Microscopic Simulation of Urban Traffic based on Cellular Automata. Int. J. Mod. Phys. C. 8-5 (1997) 1025-1036. https://doi.org/10.1142/S0129183197000904

Fouladvand, M.E, Nematollahi, M. Optimization of green-times at an isolated urban crossroads. Eur. Phys. J. B. 22 (2001) 395--401. https://doi.org/10.1007/PL00011149

Fouladvand, M.E., Sadjadi, Z., Reza, M. Optimized traffic flow at single intersection: traffic responsive signalization. J. Phys. A. Math Gen. 37 (2004) 561--576. https://doi.org/10.1088/0305-4470/37/3/002

Kotz, S., Johonson, N.L. Encyclopedia of Statistical Sciences. 3. (1982). Wiley, New York.

Lárraga, M.E., del Río, J.A., Alvarez-Icaza, L. Celluar Automata For One-Lane Traffic Flow Modelling. Transp. Res. C, Emerg. Tech. 5 (2005) 63--74. https://doi.org/10.1016/j.trc.2004.12.001

Lárraga, M.E., del Río, J.A., Schadschneider, A. New kind of phase separation in a CA traffic model with anticipation. J. Phys. A: Math. Gen. 37(12) (2004) 3769--3781. https://doi.org/10.1088/0305-4470/37/12/004

Nagel, K., Schreckenberg, M. Cellular automaton models for freeway traffic. J. Phys. I. 2 (1992) 2221--2229. https://doi.org/10.1051/jp1:1992277

Published

2009-06-26

How to Cite

Contreras, A.-V., & Lárraga, M.-E. (2009). Optimization of Vehicle Traffic at the Intersection of two urban streets . Programación Matemática Y Software, 1(1), 33–50. https://doi.org/10.30973/progmat/2009.1.1/3

Issue

Section

Articles