A velocity-difference-separation model for car-following theory |
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Authors: | Li Zhi-Peng and Liu Yun-Cai |
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Institution: | Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China |
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Abstract: | We introduce a velocity-difference-separation model that modifies the previous
models in the literature. The improvement of this new model over the previous ones
lies in that it not only theoretically retains many strong points of the previous
ones, but also performs more realistically than others in the dynamical evolution of
congestion. Furthermore, the proposed model is investigated with analytic and
numerical methods, with the finding that it can demonstrate some complex physical
features observed in real traffic such as the existence of three phases: free flow,
synchronized flow, and wide moving jam; sudden flow drop in flow-density plane; and
traffic hysteresis in transition between the free and the synchronized flow. |
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Keywords: | car-following models inter-vehicle separation traffic flow |
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