Statistical analysis of aggregation in freeway traffic

Jun Wei Li; Bo Liang Lin; Yong Chang Huang

doi:10.1088/1009-1963/16/3/032

Statistical analysis of aggregation in freeway traffic

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

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

We restudy the master-equation approach to aggregation in freeway traffic based on the theory of birth-death process, in which the clustering behaviour in one-lane freeway traffic model is investigated. The transition probabilities for the jump processes are reconstructed by using Greenshields' model, and the equation of the mean size of the cluster at any time t is derived from the birth-death equation. Numerical experiments show the clustering behaviours varying with time very well.

Original language	English
Article number	032
Pages (from-to)	753-757
Number of pages	5
Journal	Chinese Physics
Volume	16
Issue number	3
DOIs	https://doi.org/10.1088/1009-1963/16/3/032
Publication status	Published - 1 Mar 2007
Externally published	Yes

Keywords

Birth-death process
Master equation
Statistics mechanism
Traffic flow

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10.1088/1009-1963/16/3/032

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abstract = "We restudy the master-equation approach to aggregation in freeway traffic based on the theory of birth-death process, in which the clustering behaviour in one-lane freeway traffic model is investigated. The transition probabilities for the jump processes are reconstructed by using Greenshields' model, and the equation of the mean size of the cluster at any time t is derived from the birth-death equation. Numerical experiments show the clustering behaviours varying with time very well.",

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AB - We restudy the master-equation approach to aggregation in freeway traffic based on the theory of birth-death process, in which the clustering behaviour in one-lane freeway traffic model is investigated. The transition probabilities for the jump processes are reconstructed by using Greenshields' model, and the equation of the mean size of the cluster at any time t is derived from the birth-death equation. Numerical experiments show the clustering behaviours varying with time very well.

KW - Birth-death process

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KW - Statistics mechanism

KW - Traffic flow

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Statistical analysis of aggregation in freeway traffic

Abstract

Keywords

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