Simulation of traffic flow at a signalized intersection

Belbasi, Somayyeh; Foulaadvand, M. Ebrahim

doi:10.1088/1742-5468/2008/07/p07021

Cited by 34 publications

(11 citation statements)

References 48 publications

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“…The slow bond problem with the domain wall initial condition was studied in [19][20][21]. A related line of research has focused on the role of an intersection on the TASEP, with the same number of incoming and outgoing roads at a junction [22][23][24][25][26][27][28][29]; Refs. [27,29] study aspects of the TASEP in the junction geometries similar to those considered in our work.…”

Section: Introductionmentioning

confidence: 99%

Exclusion in junction geometries

2019

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We investigate the dynamics of the asymmetric exclusion process at a junction. When two input roads are initially fully occupied and a single output road is initially empty, the ensuing rarefaction wave has a rich spatial structure. The density profile also changes dramatically as the initial densities are varied. Related phenomenology arises when one road feeds into two. Finally, we determine the phase diagram of the open system, where particles are fed into two roads at rate α for each road, the two roads merge into one, and particles are extracted from the single output road at rate β.

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Section: Introductionmentioning

confidence: 99%

Exclusion in junction geometries

2019

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“…Various features of traffic flow have been investigated in the framework of the TASEP such as overtaking [9], intersection of streets [10], flow at junctions [11], queuing process [12], anticipation effect [13], time and spatial headway at intersections [14], on-ramp simulation [15], pedestrianvehicles flow [16,17], roundabout [18] and shortcut [19]. Models of traffic flow at intersections have been also investigated by other approaches than the TASEP, mainly in discrete-time frameworks [20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Signal optimization in urban transport: A totally asymmetric simple exclusion process with traffic lights

2017

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We consider the exclusion process on a ring with time-dependent defective bonds at which the hopping rate periodically switches between zero and one. This system models main roads in city traffics, intersecting with perpendicular streets. We explore basic properties of the system, in particular dependence of the vehicular flow on the parameters of signalization as well as the system size and the car density. We investigate various types of the spatial distribution of the vehicular density, and show existence of a shock profile. We also measure waiting time behind traffic lights, and examine its relationship with the traffic flow.

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“…Much attention has been paid to cellular automaton models of traffic on roads with localized inhomogeneity modeling on-and off-ramps [11][12][13], intersection of two unidirectional streets [14], roundabout at the intersection of two streets [15]. Usually, traffic jams are observed at bottlenecks such as traffic accidents, lanes merging, or some of the above mentioned localized inhomogeneities.…”

Section: Introdictionmentioning

confidence: 99%

On the appearance of traffic jams in a long chain with a shortcut in the bulk

Bunzarova

Pesheva

Brankov

2015

Physica A: Statistical Mechanics and its Applications

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h i g h l i g h t s • We study stationary properties of TASEP on open long chains with a shunted section. • The conditions for occurrence of traffic jams and their properties are investigated. • Monte Carlo simulations data agree fairy well with theoretical predictions. • The effective rates approximation and domain wall theory are applicable. • Traffic jams are found to disappear upon shifting the shortcut downstream. : Totally asymmetric simple exclusion process Non-equilibrium stationary states Networks with complex geometry Coexistence phase Domain wall theory a b s t r a c t The Totally Asymmetric Simple Exclusion Process (TASEP) is studied on open long chains with a shunted section between two simple chain segments in the maximum current phase. The reference case, when the two branches are chosen with equal probability, is considered. The conditions for the occurrence of traffic jams and their properties are investigated both within the effective rates approximation and by extensive Monte Carlo simulations for arbitrary length of the shortcut. Our main results are: (1) For any length of the shortcut and any values of the external rates in the domain of the maximum current phase, there exists a position of the shortcut where the shunted segment is in a phase of coexistence with a completely delocalized domain wall;(2) The main features of the coexistence phase and the density profiles in the whole network are well described by the domain wall theory. Apart from the small inter-chain correlations, they depend only on the current through the shortcut; (3) The model displays unexpected features: (a) the current through the longer shunted segment is larger than the current through the shortcut, and (b) the delocalized domain wall in the coexistence phase of the long shunted segment induces similar behavior even in shortcuts containing a small number of sites; (4) From the viewpoint of vehicular traffic, most comfortable conditions for the drivers are provided when the shortcut is shifted downstream from the position of coexistence, when both the shunted segment and the shortcut exhibit low-density lamellar flow. Most unfavorable is the opposite case of upstream shifted shortcut, when both the shunted segment and the shortcut are in a high-density phase describing congested traffic of slowly moving cars. The above results are relevant also to phenomena like crowding of molecular motors moving along twisted protofilaments.

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Simulation of traffic flow at a signalized intersection

Cited by 34 publications

References 48 publications

Exclusion in junction geometries

Exclusion in junction geometries

Signal optimization in urban transport: A totally asymmetric simple exclusion process with traffic lights

On the appearance of traffic jams in a long chain with a shortcut in the bulk

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