Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 387, Issue 27, Pages 6845-6856Publisher
ELSEVIER
DOI: 10.1016/j.physa.2008.08.036
Keywords
Traffic flow; Interruption probability; Car-following behavior; Macro model; Linear stability analysis; Simulation
Categories
Funding
- National Natural Science Foundation of China [70701002, 7052 1001]
- National Basic Research Program of China [2006CB705503]
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In this paper, we present a new macro model which involves the effects that the probability of traffic interruption has on the car-following behavior through formulating the inner relationship between micro and macro variables. Linear stability analysis shows that consideration of the traffic interruption probability can improve the stability of traffic flow if and only if the drivers' reactive time required for adjusting their acceleration based on the traffic interruption probability p is not greater than that one based on the non-interruption probability 1 - p. Numerical results verify that the new model can be used to analyze the effects of traffic interruption probability and traffic interruption on shock, rarefaction wave, small perturbation and uniform flow. The model has been applied in reproducing some complex traffic phenomena resulted by some traffic interruptions (e.g., signal light, pedestrian and tolling station). (C) 2008 Elsevier B.V. All rights reserved.
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