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.