Citation

Mesterton-Gibbons M. Math. Model. 1987; 9(8): 625-629.

Copyright

(Copyright © 1987, Elsevier Publishing)

DOI

10.1016/0270-0255(87)90462-3

PMID

unavailable

Abstract

A four-state, ergodic Markov chain is used to model a T-junction on a narrow, two-lane, major road. The states are defined more realistically than by previous authors. A formula is obtained for the proportion of traffic configurations in which cars travelling one way are brought to a halt by those turning left onto the minor road. This formula is obtained as a function of four parameters: the mean traffic flows in each direction, the probability that a car on the major road will turn left at the junction and the minimum time gap, in the oncoming flow of traffic, which that manouevre requires. If this proportion is higher than is deemed acceptable, then a left-turn is needed.