M Ebrahim Fouladvand et al 2004 J. Phys. A: Math. Gen. 37 561 doi:10.1088/0305-4470/37/3/002
M Ebrahim Fouladvand, Zeinab Sadjadi and M Reza Shaebani
Show affiliationsWe propose a stochastic model for the intersection of two urban streets. The vehicular traffic at the intersection is controlled by a set of traffic lights which can be operated subject to fix-time as well as traffic adaptive schemes. Vehicular dynamics is simulated within the framework of the probabilistic cellular automata and the delay experienced by the traffic at each individual street is evaluated for specified time intervals. Minimizing the total delay of both streets gives rise to the optimum signalization of traffic lights. We propose some traffic responsive signalization algorithms which are based on the concept of cut-off queue length and cut-off density.
45.70.Vn Granular models of complex systems; traffic flow
05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
Issue 3 (23 January 2004)
Received 4 June 2003, in final form 17 October 2003
Published 7 January 2004
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