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2012 A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed
Ming Wei, Wenzhou Jin, Lvou Shen
J. Appl. Math. 2012(SI07): 1-13 (2012). DOI: 10.1155/2012/727839

Abstract

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.

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Ming Wei. Wenzhou Jin. Lvou Shen. "A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed." J. Appl. Math. 2012 (SI07) 1 - 13, 2012. https://doi.org/10.1155/2012/727839

Information

Published: 2012
First available in Project Euclid: 17 October 2012

MathSciNet: MR2898079
Digital Object Identifier: 10.1155/2012/727839

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI07 • 2012
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