Research Article

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

Table 2

The ratio to the maximum initial flow of the average number of cars not having passed the downstream point at the rear of platoon under 𝛼 = 0 . 1 5 .

𝑡 0 / 𝑠 𝑡 𝑡 / 𝑠
012345678910

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

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