Research Article

A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed

Table 1

The ratio to the maximum initial flow of the average number of cars having passed the downstream point at the front of platoon under 𝛼 = 0 . 1 5 .

𝑡 0 / 𝑠 𝑡 / 𝑠
012345678910

30 1 . 8 9 / 1 . 7 9 1 . 3 5 / 1 . 2 8 0 . 9 1 / 0 . 8 6 0 . 5 7 / 0 . 5 4 0 . 3 2 / 0 . 3 1 0 . 1 7 / 0 . 1 6 0 . 0 8 / 0 . 0 7 0 . 0 3 / 0 . 0 2 0 / 0 0 / 0 0 / 0
60 3 . 7 7 / 3 . 5 9 3 . 2 1 / 3 . 0 5 2 . 6 9 / 2 . 5 6 2 . 2 3 / 2 . 1 2 1 . 8 1 / 1 . 7 2 1 . 4 5 / 1 . 3 8 1 . 1 3 / 1 . 0 8 0 . 8 7 / 0 . 8 3 0 . 6 5 / 0 . 6 2 0 . 4 7 / 0 . 4 5 0 . 3 3 / 0 . 3 2
90 5 . 6 6 / 5 . 3 9 5 . 0 8 / 4 . 8 4 4 . 5 4 / 4 . 3 3 4 . 0 4 / 3 . 8 4 3 . 5 6 / 3 . 3 9 3 . 1 2 / 2 . 9 7 2 . 7 2 / 2 . 5 9 2 . 3 4 / 2 . 2 3 2 . 0 1 / 1 . 9 1 1 . 7 0 / 1 . 6 2 1 . 4 3 / 1 . 3 6
120 7 . 5 4 / 7 . 1 8 6 . 9 7 / 6 . 6 3 6 . 4 1 / 6 . 1 1 5 . 8 8 / 5 . 6 0 5 . 3 8 / 5 . 1 2 4 . 9 0 / 4 . 6 7 4 . 4 5 / 4 . 2 4 4 . 0 2 / 3 . 8 3 3 . 6 2 / 3 . 4 5 3 . 2 4 / 3 . 0 9 2 . 8 9 / 2 . 7 6

Note: from the proposed model/from Pacey’s model.