The effects of reaction delay in the Nagel-Schreckenberg traffic flow model

This paper studies a new model, which considers the effects of drivers reaction delay in the Nagel-Schreckenberg model. We studied the traffic flow properties in the new model under both periodic and open boundary conditions. The fundamental diagram, spatio-temporal patterns, density-density correla...

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Bibliographic Details
Published inThe European physical journal. B, Condensed matter physics Vol. 54; no. 2; pp. 267 - 273
Main Authors JIANG, R, HU, M. B, JIA, B, WANG, R. L, WU, Q. S
Format Journal Article
LanguageEnglish
Published Les Ulis Springer 01.11.2006
Berlin EDP sciences
Springer Nature B.V
Subjects
Boundary conditions
Delay
Density
Exact sciences and technology
Flow velocity
Headways
Mathematical methods in physics
Numerical approximation and analysis
Physics
Relaxation time
Traffic flow
Traffic models
Traffic flow
Boundary conditions
Time delay
Correlation functions
Power law
Relaxation time
Time correlation function
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Summary:This paper studies a new model, which considers the effects of drivers reaction delay in the Nagel-Schreckenberg model. We studied the traffic flow properties in the new model under both periodic and open boundary conditions. The fundamental diagram, spatio-temporal patterns, density-density correlation functions, relaxation time, and distance headway distribution are investigated. Several interesting results are reported, for example, (i) the jam becomes less condensed when the delay effect is considered; (ii) the distance headway of the new model exhibits a multi-peak distribution when randomization p is small; (iii) for large p, the distribution of distance headway follows a power law in the new model; (iv) under open boundary conditions, the existence of a stationary jam near the left boundary will lower the flow rate.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2006-00449-5