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Based on the optimal velocity models, an extended model is proposed, in which multi-velocity-direrence ahead is taken into consideration. The damping effect of the multi-velocity-direrence ahead has been investigated by means of analytical and numerical methods. Results indicate that the multi-velocity-direrence leads to the enhancement of stability of traffic flow, suppression of the emergence of traffic jamming, and reduction of the energy consumption.
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Ye-Liu et al. (2008) studied this question.
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