Accession Number : AD0262260

Title :   STATISTICAL PROPERTIES OF LOW-DENSITY TRAFFIC

Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Personal Author(s) : WEISS,GEORGE ; HERMAN,ROBERT

Report Date : JUL 1961

Pagination or Media Count : 1

Abstract : An infinitely long line of traffic moving on a highway without traffic lights or other inhomogeneities is studied. It is assumed that each car travels at a constant speed which is a random variable. A further assumption is that when one car overtakes another, passing is always possible and occurs without change of speed. It is shown that any initial headway distribution must relax to a negative exponential distribution in the limit of t becoming infinite. The statistics of passing events are examined, and it is shown that the probability of passing or being passed by n cars in time t is described by a Poisson distribution. (Author)

Descriptors :   *DISTRIBUTION THEORY, *PROBABILITY, *TRAFFIC, DENSITY, INTEGRAL EQUATIONS, INTEGRALS, MATHEMATICAL ANALYSIS, STATISTICAL ANALYSIS, STATISTICAL DISTRIBUTIONS, VEHICLES, VELOCITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE