Citation

Miller AJ. Proc. Camb. Philol. Soc. 1962; 58(2): 312.

Copyright

(Copyright © 1962, Cambridge University Press)

DOI

10.1017/S0305004100036525

PMID

unavailable

Abstract

Equations are derived for the process of catching-up and overtaking which occurs in one lane of traffic for a model in which vehicles travel in random bunches and overtake at random times. The model allows vehicle velocities to be distributed and allows for several vehicles at a time to overtake. At first only stationary states are considered, that is states in which the rate of catching-up equals, on average, the rate of overtaking.