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Optimized traffic flow at a single intersection: traffic responsive signalization

M Ebrahim Fouladvand, Zeinab Sadjadi and M Reza Shaebani

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We 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.


PACS

45.70.Vn Granular models of complex systems; traffic flow

05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)

MSC

90B20 Traffic problems

37B15 Cellular automata

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 3 (23 January 2004)

Received 4 June 2003, in final form 17 October 2003

Published 7 January 2004



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