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Gupta, A. and Dhiman, I. (2015) Phase Diagram of a Continuum Traffic Flow Model with a Static Bottleneck. Nonlinear Dynamics, 79, 663-671.
https://doi.org/10.1007/s11071-014-1693-6

has been cited by the following article:

• TITLE: The Effect of Self-Driving Car on Urban Traffic

  AUTHORS: Zaiqiang Ku, Ting Liao

  KEYWORDS: Self-Driving Car, Least Square Method, Mixing Speed, Traffic Flow

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.7 No.2, June 14, 2017

  ABSTRACT: Based on the idea of infinitesimal analysis, we establish the basic model of relation between speed and flow. Since putting a certain amount of self-driving car will affect the average speed of mixed traffic flow, we choose the proportion of self-driving car to be a variable, denoted by k. Based on the least square method, we find two critical values of k that are 38.63% and 68.26%. When k 38.63%, the self-driving cars have a negative influence to the traffic. When 38.63% 68.26%, they have significant improvement to the traffic capacity of the road.