Two-dimensional traffic flow problems with faulty traffic lights

Chung, Kyu-Hyuck; Hui, P. M.; Gu, G. Q.

doi:10.1103/physreve.51.772

Cited by 113 publications

(42 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The effects of faulty traffic lights have been modeled by generalizing the BML as follows [260]: a fraction f tl of the sites are identified randomly as the locations of the faulty traffic lights. Both the north-bound vehicles currently south of the faulty traffic lights and the east-bound vehicles currently west of a faulty traffic light are allowed to hop onto the empty crossings where the faulty traffic lights are located, irrespective of whether the corresponding time step of updating is odd or even.…”

Section: • Overpasses or Two-level Crossingsmentioning

confidence: 99%

Statistical physics of vehicular traffic and some related systems

2000

View full text Add to dashboard Cite

In the so-called "microscopic" models of vehicular traffic, attention is paid explicitly to each individual vehicle each of which is represented by a "particle"; the nature of the "interactions" among these particles is determined by the way the vehicles influence each others' movement. Therefore, vehicular traffic, modeled as a system of interacting "particles" driven far from equilibrium, offers the possibility to study various fundamental aspects of truly nonequilibrium systems which are of current interest in statistical physics. Analytical as well as numerical techniques of statistical physics are being used to study these models to understand rich variety of physical phenomena exhibited by vehicular traffic. Some of these phenomena, observed in vehicular traffic under different circumstances, include transitions from one dynamical phase to another, criticality and self-organized criticality, metastability and hysteresis, phase-segregation, etc. In this critical review, written from the perspective of statistical physics, we explain the guiding principles behind all the main theoretical approaches. But we present detailed discussions on the results obtained mainly from the so-called "particle-hopping" models, particularly emphasizing those which have been formulated in recent years using the language of cellular automata.

show abstract

Section: • Overpasses or Two-level Crossingsmentioning

confidence: 99%

Statistical physics of vehicular traffic and some related systems

2000

View full text Add to dashboard Cite

show abstract

“…The BML model has been generalized to take into account several realistic features of traffic in cities such as asymmetric distribution of cars [12], faulty traffic lights [13], independent turning of the vehicles [14,15] and green-wave synchronization [16]. At first sight, the BML model and the above-mentioned extensions seem unrealistic because the vehicles hop from one crossing to the next.…”

Section: Introductionmentioning

confidence: 99%

Optimization of green-times at an isolated urban crossroads

Fouladvand

Nematollahi

2001

Eur. Phys. J. B

View full text Add to dashboard Cite

We propose a model for the intersection of two urban streets. The traffic status of the crossroads is controlled by a set of traffic lights which periodically switch to red and green with a total period ofT . Two different types of crossroads are discussed. The first one describes the intersection of two one-way streets, while the second type models the intersection of a two-way street with an one-way street. We assume that the vehicles approach the crossroads with constant rates in time which are taken as the model parameters. We optimize the traffic flow at the crossroads by minimizing the total waiting time of the vehicles per cycle of the traffic light. This leads to the determination of the optimum green-time allocated to each phase.

show abstract

“…Solving the problem of traffic congestion is of great importance for the safety and convenience of modern society [1][2][3][4][5][6]. Recently, empirical evidence has shown that many transportation systems can be described by complex networks characterized by the small world [7] and/or scale-free properties [8].…”

mentioning

confidence: 99%

Power law and small world properties in a comparison of traffic city networks

Wang

Jian

et al. 2011

Chin. Sci. Bull.

View full text Add to dashboard Cite

We analyze the statistical properties of the urban public bus networks of two cities (Beijing and Chengdu) in China. To this end, we present a comprehensive survey of the degree distribution, average path length, and clustering of both networks. It is shown that both networks exhibit small world behavior and are hierarchically organized. We also discuss the differences between the statistical properties displayed by the two networks. In addition, we propose a weight distribution approach to study the passenger flow through the public bus networks we considered. A hierarchical structure is observed here also. public transport network, complex network, power-law distribution, small-world Citation:Ma K, Wang Z W, Jiang J, et al. Power law and small world properties in a comparison of traffic city networks.

show abstract

Two-dimensional traffic flow problems with faulty traffic lights

Cited by 113 publications

References 9 publications

Statistical physics of vehicular traffic and some related systems

Statistical physics of vehicular traffic and some related systems

Optimization of green-times at an isolated urban crossroads

Power law and small world properties in a comparison of traffic city networks

Contact Info

Product

Resources

About