The Effect of Self-Driving Car on Urban Traffic - American Journal of Computational Mathematics

AJCM > Vol.7 No.2, June 2017

The Effect of Self-Driving Car on Urban Traffic ()

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Download as PDF (Size: 582KB) PP. 149-156

DOI: 10.4236/ajcm.2017.72013 1,999 Downloads 4,165 Views Citations

Author(s)

Zaiqiang Ku, Ting Liao^*

Affiliation(s)

College of Mathematics and Physics, Huanggang Normal University, Hubei, China.

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% < k < 68.26%, they have a positive influence to the traffic. When k > 68.26%, they have significant improvement to the traffic capacity of the road.

KEYWORDS

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

Share and Cite:

Ku, Z. and Liao, T. (2017) The Effect of Self-Driving Car on Urban Traffic. American Journal of Computational Mathematics, 7, 149-156. doi: 10.4236/ajcm.2017.72013.

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