QUEUE LENGTH AND WAITING-TIME DISTRIBUTIONS AT PRIORITY INTERSECTIONS

D Heidemann

Document Type

Journal Article

Publication Date

1991

Subject Area

operations - traffic, infrastructure - bus/tram priority, infrastructure - bus/tram priority, infrastructure - bus/tram lane, infrastructure - traffic signals, mode - bus

Keywords

Waiting time, Traffic signal priority systems, Traffic signal preemption, Traffic flow, Schedules, Preemption (Traffic signals), Junctions (Traffic), Intersections, Intersection approach, Formulas, Cross roads, Bus priority, Arrival time, Approach lanes

Abstract

Specialist literature on priority intersections provides formulas for calculating mean waiting-times and mean queue lengths for the traffic flow which has to give way (minor road). In the present paper, these results on mean values are extended to yield formulas for the corresponding distributions. This is achieved by developing a queueing-theory approach which is applied to a formula due to Tanner. The results are subject to the assumption of the vehicle arrivals in both the minor and the major road flows being distributed according to the Poisson law.

Comments

Transportation Research Part B Home Page: http://www.sciencedirect.com/science/journal/01912615

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