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 68.26%, they have significant improvement to the traffic capacity of the road.
Highlights
In order to indicate the origin of self-driving, cooperating cars, the following background is worth mentioning
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
When 38.63% < k < 68.26%, they have a positive influence to the traffic
Summary
As we all known that the traffic capacity is limited in many areas of the United States owing to the number of lanes of roads. Self-driving, cooperating cars have been provided a solution to increase the capacity of highways without increasing the number of lanes of roads. The self-driving, cooperating cars are popular with its advantages, for example, faster speed, faster acceleration, and shorter baking distance
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