Optimising offsets and bandwidths in vehicle traffic networks

Burdett, Robert, Casey, Bradley, & Becker, Kai Helge (2014) Optimising offsets and bandwidths in vehicle traffic networks. ANZIAM Journal, 55, M77-M108.

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Bandwidths and offsets are important components in vehicle traffic control strategies. This article proposes new methods for quantifying and selecting them. Bandwidth is the amount of green time available for vehicles to travel through adjacent intersections without the requirement to stop at the second traffic light. The offset is the difference between the starting-time of ``green'' periods at two adjacent intersections, along a given route. The core ideas in this article were developed during the 2013 Maths and Industry Study Group in Brisbane, Australia. Analytical expressions for computing bandwidth, as a function of offset, are developed. An optimisation model, for selecting offsets across an arterial, is proposed. Arterial roads were focussed upon, as bandwidth and offset have a greater impact on these types of road as opposed to a full traffic network. A generic optimisation-simulation approach is also proposed to refine an initial starting solution, according to a specified metric. A metric that reflects the number of stops, and the distance between stops, is proposed to explicitly reduce the dissatisfaction of road users, and to implicitly reduce fuel consumption and emissions. Conceptually the optimisation-simulation approach is superior as it handles real-life complexities and is a global optimisation approach. The models and equations in this article can be used in road planning and traffic control.

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ID Code: 70348
Item Type: Journal Article
Refereed: Yes
Additional Information: Published December 16, 2014, as part of the Proceedings of the 2013 Mathematics and Statistics in Industry Study Group, MISG-2013, edited by T. Farrell and A. J. Roberts.
Additional URLs:
DOI: 10.0000/anziamj.v55i0.8917
ISSN: 1446-8735
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Operations Research (010206)
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2014 Australian Mathematical Society
Deposited On: 22 Apr 2014 04:57
Last Modified: 31 Mar 2015 20:04

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