Accession Number : AD0762416

Title :   Simple State-Dependent Gap Acceptance,

Corporate Author : GEORGE WASHINGTON UNIV WASHINGTON D C PROGRAM IN LOGISTICS

Personal Author(s) : Harris,Carl M.

Report Date : 20 APR 1973

Pagination or Media Count : 20

Abstract : The paper considers a traffic problem in which vehicles queue up according to a Poisson process on a single-lane entrance ramp prior to merging into a major stream of vehicular traffic. In order to then prevent the ramp queue from exploding, a model is proposed which considers a lowering of the critical gap as the queue increases. With the critical gap assumed to be a non-increasing function of the number on the ramp at instances that correspond to departure points from the ramp queuq, the resultant model is an M/G/1 queue with state-dependent service times. Some general results are obtained for this model and a specific case discussed in moderate detail. (Author)

Descriptors :   (*QUEUEING THEORY, TRANSPORTATION), TRAFFIC, STOCHASTIC PROCESSES, DISTRIBUTION FUNCTIONS, MATRICES(MATHEMATICS)

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE