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Delays Caused by Right-Turning Vehicles

D. H. Reid
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D. H. Reid: University of Strathclyde, Glasgow, U.K.

Transportation Science, 1968, vol. 2, issue 2, 160-171

Abstract: This paper presents a mathematical model for the behavior of right-turning (left-hand drive is the convention observed) vehicles at an uncontrolled intersection. The model is a development of the one proposed for this situation in a previous paper by the author. It relates to the intersection of a two-lane major road with a minor road at which vehicles on the major road have absolute priority. Completely random traffic is postulated on the major road, and congestion is caused by drivers of vehicles on the major road who wish to turn right and are unable to do so immediately because of oncoming traffic. It is not possible for following vehicles to filter to the left of a delayed vehicle. The delay distribution for vehicles in each lane of the major road is determined for the case of stochastically stationary behavior, and some numerical results for the mean and variance of this distribution are given. The gap acceptance mechanism used in this paper is similar to the one proposed by Gaver. Further references for this paper are discussed in the Introduction to the author's previous paper.

Date: 1968
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