Title: Mathematical model for designing the traffic circle control

Authors: Nan Ji; Jie Zhang; Kaiwen Guo

Addresses: College of Science, Hebei United University, Tangshan, 063009, Hebei Province, China. ' Tangshan Tanggang Expressway Management Office, Tangshan, 063000, China. ' College of Science, Tian Jin Polytechnic University, Tian Jin, 300387, China

Abstract: This article sets up mathematic model for the traffic circle intersection to determine how best to control traffic flow. The model figures out the largest traffic capacity through Wardrop's formula. When there is no signal control, we use the service priority algorithm of queuing theory which regulates the running mode of inside circle and setting up avoidance signs at traffic intersections to keep passing vehicles in order. When the signal control is needed, a linkage time solving model is setup, which proves the number of seconds of every green light and work out the delay time. At last, the simulation software VISSIM is used for an example to work out the average delay time under the signal control. The result matches with this model.

Keywords: traffic circles; conflict points; weaving sections; control model; traffic capacity; gap acceptance theory; critical gaps; follow-up times; delay times; simulation; mathematical modelling; traffic flow control; traffic control; traffic intersections; traffic lights; traffic signals; traffic flow management; roundabouts.

DOI: 10.1504/IJICA.2012.045703

International Journal of Innovative Computing and Applications, 2012 Vol.4 No.1, pp.58 - 66

Received: 06 Oct 2011
Accepted: 29 Nov 2011
Published online: 17 Sep 2014 *

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