The Average Speed of a Fast Vehicle Moving in a Stream of Slow Vehicles.

This paper studies the average speed of a fast car moving in a stream of slow vehicles on a two-lane highway. Arrivals of the slow vehicles are assumed to follow a Poisson process and the test car arrives independently of the slow vehicles. The highway is assumed to consist of sections in which passing is possible and sections in which passing is impossible the lengths of these sections are random variables. Two passing mechanisms are studied the first assumes that the duration of a passing maneuver is a random variable while in the second passings are instantaneous. Author