Queueing at unsignalized intersections

A general queueing theory model for traffic flow at unsignalized intersections is described and analysed which contains most of the mathematical models developed in the literature as special cases. Thus a consistent approach is presented for obtaining these models from a general viewpoint. Included...

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Bibliographic Details
Published in:Transportation research. Part B: methodological 1997-06, Vol.31 (3), p.239-263
Main Authors: Heidemann, Dirk, Wegmann, Helmut
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Ground, air and sea transportation, marine construction
Road transportation and traffic
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Summary:A general queueing theory model for traffic flow at unsignalized intersections is described and analysed which contains most of the mathematical models developed in the literature as special cases. Thus a consistent approach is presented for obtaining these models from a general viewpoint. Included are green-red models which are based on an analogy to traffic signals. Critical gaps and merging times or move-up times are allowed to be stochastically dependent. Inconsistent and consistent driver behaviour is considered. Platooning of the major road traffic with random intra-bunch headways is included. The results focus on the distributions of queue lengths and delays and, in particular, on capacities. A general capacity formula is developed and it is shown how the various capacity formulas from the literature come out as special cases. Some numerical results are presented.
ISSN:0191-2615
1879-2367
DOI:10.1016/S0191-2615(96)00021-5