Analyzing the travel time of car-following model on an open road

In this paper, we apply car-following model to explore each person's travel time and the system's total travel time on an open road. The analytical and numerical results illustrate that each person's travel time and the system's total cost are directly related to each person's time headway at the origin when the road is long enough and the number of persons is large enough in the traffic system. The above results can help traffic engineers to optimize each person's arrival rate and help readers to understand the relationship between each person's travel time and his arrival rate.