A New Macro Model for Traffic Flow on a Highway with Ramps and Numerical Tests |
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Authors: | TANG Tie-Qiao HUANG Hai-Jun SC Wong GAO Zi-You ZHANG Ying |
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Institution: | 1.School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
;2.School of Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
;3.Department of Civil Engineering, University of Hong Kong, Pokfulam Road, Hong Kong SAR, China
;4.School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China |
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Abstract: | In this paper, we present a new macro model for traffic flow on a highway with ramps based on the existing models. We use the new model to study the effects of on-off-ramp on the main road traffic during the morning rush period and the evening rush period. Numerical tests show that, during the two rush periods, these effects are often different and related to the status of the main road traffic. If the main road traffic flow is uniform, then ramps always produce stop-and-go traffic when the main road density is between two critical values, and ramps have little effect onthe main road traffic when the main road density is less than the smaller critical value or greater than the larger critical value. If a small perturbation appears on the main road, ramp may lead to stop-and-go traffic, or relieve or even eliminate the stop-and-go traffic, under different circumstances. These results are consistent with real traffic, which shows that the new model is reasonable. |
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Keywords: | ramp traffic flow model friction effect stability stop-and-go traffic |
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