A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed
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 p...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/727839 |
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| _version_ | 1832550283943608320 |
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| author | Ming Wei Wenzhou Jin Lvou Shen |
| author_facet | Ming Wei Wenzhou Jin Lvou Shen |
| author_sort | Ming Wei |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-79addf7a2eb44b99a922e7a288a282f7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-79addf7a2eb44b99a922e7a288a282f72025-02-03T06:07:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/727839727839A Platoon Dispersion Model Based on a Truncated Normal Distribution of SpeedMing Wei0Wenzhou Jin1Lvou Shen2Department of Transportation Engineering, South China University of Technology, Guangzhou 510640, ChinaDepartment of Transportation Engineering, South China University of Technology, Guangzhou 510640, ChinaDepartment of Transportation Engineering, South China University of Technology, Guangzhou 510640, ChinaUnderstanding 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.http://dx.doi.org/10.1155/2012/727839 |
| spellingShingle | Ming Wei Wenzhou Jin Lvou Shen A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed Journal of Applied Mathematics |
| title | A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed |
| title_full | A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed |
| title_fullStr | A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed |
| title_full_unstemmed | A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed |
| title_short | A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed |
| title_sort | platoon dispersion model based on a truncated normal distribution of speed |
| url | http://dx.doi.org/10.1155/2012/727839 |
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