Journal
MODERN PHYSICS LETTERS B
Volume 31, Issue 9, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984917500907
Keywords
Car-following model; traffic flow; spring-mass system theory; stability analysis
Funding
- National Natural Science Foundation of China [61304197]
- Scientific and Technological Talents of Chongqing [cstc2014kjrc-qnrc30002]
- National Key Research and Development Program [2016YFB0100906]
- U.S. Department of Transportation through the NEXTRANS Center, the USDOT Region 5 University Transportation Center
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This study proposes a new microscopic traffic flow model based on the spring-mass system theory. In particular, considering the similarity between the acceleration or deceleration behavior in traffic flow and the scaling properties of a spring, a car-following (CF) model is proposed based on the fundamental physical law of the spring-mass system. Stability of the proposed model is analyzed using the perturbation method to obtain the stability condition. Numerical experiments are performed through simulation. The results demonstrate the proposed model can capture the characteristic of propagation backwards of disturbance in traffic flow. In addition, the findings of this study provide insights in modeling traffic flow from the mechanical system theory perspective.
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