A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed

Joint Authors

Wei, Ming
Jin, Wenzhou
Shen, Lvou

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-03-15

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

Understanding platoon dispersion is critical for the coordination of traffic signal control in an urban traffic network.

Assuming that platoon speed follows a truncated normal distribution, ranging from minimum speed to maximum speed, this paper develops a piecewise density function that describes platoon dispersion characteristics as the platoon moves from an upstream to a downstream intersection.

Based on this density function, the expected number of cars in the platoon that pass the downstream intersection, and the expected number of cars in the platoon that do not pass the downstream point are calculated.

To facilitate coordination in a traffic signal control system, dispersion models for the front and the rear of the platoon are also derived.

Finally, a numeric computation for the coordination of successive signals is presented to illustrate the validity of the proposed model.

American Psychological Association (APA)

Wei, Ming& Jin, Wenzhou& Shen, Lvou. 2012. A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993600

Modern Language Association (MLA)

Wei, Ming…[et al.]. A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993600

American Medical Association (AMA)

Wei, Ming& Jin, Wenzhou& Shen, Lvou. A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993600

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993600