Travel Time Model for Right-Turning Vehicles of Secondary Street at Unsignalized Intersections

Table 1

Probability of headway.

Headway	Vehicles number/i	Probability/𝑃𝑖
𝜏𝑐≤ℎ<𝜏𝑐+ℎ𝑓	1	^𝑙−∑^1𝑖=0(𝜆𝑙𝜏𝑐)^𝑖𝑒^−𝜆𝜏𝑐−𝑖!^𝑙−1𝑖∑=0(𝜆𝑙(𝜏𝑐+ℎ𝑓))^𝑖𝑒^−𝜆(𝜏𝑐+ℎ𝑓)𝑖!
𝜏𝑐+ℎ𝑓≤ℎ<𝜏𝑐+2ℎ𝑓	2	^𝑙−∑^1𝑖=0(𝜆𝑙(𝜏𝑐+ℎ𝑓))^𝑖𝑒^−𝜆(𝜏𝑐+ℎ𝑓)−𝑖!^𝑙−1𝑖∑=0(𝜆𝑙(𝜏𝑐+2ℎ𝑓))^𝑖𝑒^−𝜆(𝜏𝑐+2ℎ𝑓)𝑖!
𝜏𝑐+2ℎ𝑓≤ℎ<𝜏𝑐+3ℎ𝑓	3	^𝑙−∑^1𝑖=0(𝜆𝑙(𝜏𝑐+2ℎ𝑓))^𝑖𝑒^−𝜆(𝜏𝑐+2ℎ𝑓)−𝑖!^𝑙−1𝑖∑=0(𝜆𝑙(𝜏𝑐+3ℎ𝑓))^𝑖𝑒^−𝜆(𝜏𝑐+3ℎ𝑓)𝑖!
⋮	⋮	⋮
𝜏𝑐+(𝑛−1)ℎ𝑓≤ℎ<𝜏𝑐+𝑛ℎ𝑓	n	^𝑙−∑^1𝑖=0(𝜆𝑙(𝜏𝑐+(𝑛−1)ℎ𝑓))^𝑖𝑒^−𝜆(𝜏𝑐+(𝑛−1)ℎ𝑓)−𝑖!^𝑙−1𝑖∑=0(𝜆𝑙(𝜏𝑐+𝑛ℎ𝑓))^𝑖𝑒^−𝜆(𝜏𝑐+𝑛ℎ𝑓)𝑖!