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The Effect of Self-Driving Car on Urban Traffic
College of Mathematics and Physics, Huanggang Normal University, Hubei, China
College of Mathematics and Physics, Huanggang Normal University, Hubei, China
- 1 College of Mathematics and Physics, Huanggang Normal University, Hubei, China
- 2 College of Mathematics and Physics, Huanggang Normal University, Hubei, China
American Journal of Computational Mathematics·Volume 07 (2017)·Pages 149–156·Published 8 June 2017·DOI10.4236/ajcm.2017.72013
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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.
KeywordsSelf-Driving CarLeast Square MethodMixing SpeedTraffic Flow
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