Accession Number:

AD0754373

Title:

A Theorem on Geometric Probability and Applications,

Descriptive Note:

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s):

• Wang,Peter C. C.

Report Date:

1972-11-20

Pagination or Media Count:

19.0

Abstract:

Renyi has considered an interesting model of traffic flow on a divided highway which extends to infinity in one direction without traffic lights or other inhomogeneities. It is assumed that each car travels at a constant speed which is a random variable and passing is always possible without delays. Among others, Renyi has obtained some results regarding mainly the spatial distribution of cars along the highway when the temporal distribution of cars is assumed to be described by a Poisson process. The purpose of the paper is to discuss a number of results that can be related to low density traffic flow models on an infinite highway. Author

Descriptors:

• (*TRAFFIC
• MATHEMATICAL MODELS)
• (*STOCHASTIC PROCESSES
• TRAFFIC)
• DISTRIBUTION FUNCTIONS
• GEOMETRY
• THEOREMS

Subject Categories:

• Operations Research
• Civil Engineering

Distribution Statement:

APPROVED FOR PUBLIC RELEASE