Simulation of traffic flow at a signalized intersection

We have developed a Nagel–Schreckenberg cellular automata model for describing vehicular traffic flow at a single intersection. A set of traffic lights operating either in fixed time or in a traffic adaptive scheme controls the traffic flow. A closed boundary condition is applied to the streets, each of which conducts a unidirectional flow. Extensive Monte Carlo simulations are carried out to establish the model characteristics. In particular, we investigate the dependence of the flows on the signalization parameters.

[1]  M. Ebrahim Fouladvand,et al.  Optimization of green-times at an isolated urban crossroads , 2001 .

[2]  Yoshihiro Ishibashi,et al.  Phase Diagram for the Traffic Model of Two One-Dimensional Roads with a Crossing , 1996 .

[3]  G. Schütz,et al.  Generalized Bethe ansatz solution of a one-dimensional asymmetric exclusion process on a ring with blockage , 1993 .

[4]  Tadaki Shin-ichi,et al.  Dynamical Phase Transition in One Dimensional Traffic Flow Model with Blockage , 1994 .

[5]  A Schadschneider,et al.  Optimizing traffic lights in a cellular automaton model for city traffic. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Deterministic exclusion process with a stochastic defect: matrix-product ground states , 1996, cond-mat/9611134.

[7]  Dirk Helbing,et al.  Self-organized control of irregular or perturbed network traffic; Optimal Control and Dynamic Games , 2005, physics/0511018.

[8]  T. Nagatani.  Effect of Jam-Avoiding Turn on Jamming Transition in Two-Dimensional Traffic Flow Model , 1994 .

[9]  János Kertész,et al.  The green wave model of two-dimensional traffic: Transitions in the flow properties and in the geometry of the traffic jam , 1996 .

[10]  Yoshihiro Ishibashi,et al.  Phase diagrams for traffics on the crossroad: II. The cases of different velocities , 2001 .

[11]  M. Reza Shaebani,et al.  Optimized traffic flow at a single intersection: traffic responsive signalization , 2004 .

[12]  M. Ebrahim Foulaadvand,et al.  Asymmetric simple exclusion process describing conflicting traffic flows , 2007, 0801.3785.

[13]  Michael Schreckenberg,et al.  A cellular automaton model for freeway traffic , 1992 .

[14]  M. R. Shaebani,et al.  Characteristics of vehicular traffic flow at a roundabout. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  D. Helbing.  Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[16]  Takashi Nagatani,et al.  Self-Organization in 2D Traffic Flow Model with Jam-Avoiding Drive , 1995 .

[17]  B. Chopard,et al.  Cellular automata model of car traffic in a two-dimensional street network , 1996 .

[18]  Nagatani.  Bunching of cars in asymmetric exclusion models for freeway traffic. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Dirk Helbing,et al.  Inefficient emergent oscillations in intersecting driven many-particle flows , 2006 .

[20]  Mustansir Barma,et al.  STEADY STATE AND DYNAMICS OF DRIVEN DIFFUSIVE SYSTEMS WITH QUENCHED DISORDER , 1997 .

[21]  Takashi Nagatani,et al.  Traffic jam induced by a crosscut road in a traffic-flow model , 1994 .

[22]  Liu Mu-Ren,et al.  The CA model for traffic-flow at the grade roundabout crossing * , 2006 .

[23]  Lebowitz,et al.  Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[24]  Andreas Schadschneider,et al.  Self-organization of traffic jams in cities: effects of stochastic dynamics and signal periods , 1999 .

[25]  Tadaki.  Two-dimensional cellular automaton model of traffic flow with open boundaries. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[26]  Najem Moussa.  BIHAM–MIDDLETON–LEVINE TRAFFIC MODEL WITH ORIGIN-DESTINATION TRIPS , 2007 .

[27]  Min Zhou,et al.  MODELING DRIVER BEHAVIOR ON URBAN STREETS , 2007 .

[28]  T. Poeschel,et al.  A Statistical Approach to Vehicular Traffic , 1995, cond-mat/0203463.

[29]  H. Chau,et al.  An improved upper bound for the critical car density of the two-dimensional Biham–Middleton–Levine traffic model , 1998 .

[30]  Anatoly B. Kolomeisky,et al.  Asymmetric simple exclusion model with local inhomogeneity , 1998 .

[31]  M. R. Shaebani,et al.  Intelligent Controlling Simulation of Traffic Flow in a Small City Network , 2004, physics/0511141.

[32]  Pak Ming Hui,et al.  Traffic Flow Problems in One-Dimensional Inhomogeneous Media , 1994 .

[33]  Ding-wei Huang,et al.  Phase diagram of a traffic roundabout , 2007 .

[34]  Shin-ichi Tadaki,et al.  Distribution of Jam Clusters in a Two-Dimensional Cellular Automaton Traffic Flow Model with Open Boundaries , 1997 .

[35]  A. Schadschneider,et al.  Jamming transition in a cellular automaton model for traffic flow , 1998 .

[36]  Takashi Nagatani,et al.  Shock formation and traffic jam induced by a crossing in the 1D asymmetric exclusion model , 1993 .

[37]  Cuesta,et al.  Phase transitions in two-dimensional traffic-flow models. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[38]  Yoshihiro Ishibashi,et al.  Phase Diagrams for Traffics on the Crossroad , 2001 .

[39]  Benedetto Piccoli,et al.  Traffic circles and timing of traffic lights for cars flow , 2005 .

[40]  A. Schadschneider,et al.  Statistical physics of vehicular traffic and some related systems , 2000, cond-mat/0007053.

[41]  Dirk Helbing,et al.  Decentralised control of material or traffic flows in networks using phase-synchronisation , 2006, physics/0603259.

[42]  Middleton,et al.  Self-organization and a dynamical transition in traffic-flow models. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[43]  S. Bhattacharyya,et al.  Formation of density waves in traffic flow through intersecting roads. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[44]  M. Ebrahim Foulaadvand,et al.  Vehicular traffic flow at a non-signalized intersection , 2007, 0712.2157.