A Statistical Theory to Aggregation in One-dimensional Freeway Traffic

Bo Liang Lin; Jun Wei Li; Li Jun Ji; Yong Chang Huang

doi:10.1007/s10955-010-0083-9

A Statistical Theory to Aggregation in One-dimensional Freeway Traffic

Bo Liang Lin
, Jun Wei Li
, Li Jun Ji^*
, Yong Chang Huang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The master equation of the car cluster in freeway traffic is reinvestigated on the basis of the linear assumption of the transition, in which the dynamic behavior of the cluster in a one-lane freeway traffic flow is studied. The expression of the mean size of the cluster versus t is derived in term of the solution of the birth-death equation. We also obtain the analytical expression of the probability distribution P(n,t). Numerical simulations testify the results derived as well.

Original language	English
Pages (from-to)	1104-1115
Number of pages	12
Journal	Journal of Statistical Physics
Volume	141
Issue number	6
DOIs	https://doi.org/10.1007/s10955-010-0083-9
Publication status	Published - Dec 2010
Externally published	Yes

Keywords

Markov process
Traffic flow

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10.1007/s10955-010-0083-9

Cite this

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title = "A Statistical Theory to Aggregation in One-dimensional Freeway Traffic",

abstract = "The master equation of the car cluster in freeway traffic is reinvestigated on the basis of the linear assumption of the transition, in which the dynamic behavior of the cluster in a one-lane freeway traffic flow is studied. The expression of the mean size of the cluster versus t is derived in term of the solution of the birth-death equation. We also obtain the analytical expression of the probability distribution P(n,t). Numerical simulations testify the results derived as well.",

keywords = "Markov process, Traffic flow",

author = "Lin, \{Bo Liang\} and Li, \{Jun Wei\} and Ji, \{Li Jun\} and Huang, \{Yong Chang\}",

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AU - Lin, Bo Liang

AU - Li, Jun Wei

AU - Ji, Li Jun

AU - Huang, Yong Chang

PY - 2010/12

Y1 - 2010/12

N2 - The master equation of the car cluster in freeway traffic is reinvestigated on the basis of the linear assumption of the transition, in which the dynamic behavior of the cluster in a one-lane freeway traffic flow is studied. The expression of the mean size of the cluster versus t is derived in term of the solution of the birth-death equation. We also obtain the analytical expression of the probability distribution P(n,t). Numerical simulations testify the results derived as well.

AB - The master equation of the car cluster in freeway traffic is reinvestigated on the basis of the linear assumption of the transition, in which the dynamic behavior of the cluster in a one-lane freeway traffic flow is studied. The expression of the mean size of the cluster versus t is derived in term of the solution of the birth-death equation. We also obtain the analytical expression of the probability distribution P(n,t). Numerical simulations testify the results derived as well.

KW - Markov process

KW - Traffic flow

UR - https://www.scopus.com/pages/publications/78649772516

U2 - 10.1007/s10955-010-0083-9

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M3 - Article

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SP - 1104

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ER -

A Statistical Theory to Aggregation in One-dimensional Freeway Traffic

Abstract

Keywords

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