Lattice models of traffic flow considering drivers' delay in response |
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Authors: | Zhu Hui-Bing |
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Institution: | Faculty of Architectural, Civil Engineering and Environment, Ningbo University, Ningbo 315211, China |
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Abstract: | This paper proposes two lattice traffic models by taking into
account the drivers' delay in response. The lattice versions of the
hydrodynamic model are described by the differential-difference
equation and difference-difference equation, respectively. The
stability conditions for the two models are obtained by using the
linear stability theory. The modified KdV equation near the critical
point is derived to describe the traffic jam by using the reductive
perturbation method, and the kink--antikink soliton solutions related
to the traffic density waves are obtained. The results show that the
drivers' delay in sensing headway plays an important role in jamming
transition. |
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Keywords: | lattice hydrodynamic model traffic jams analytical method drivers' delay in response |
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