Traffic flow optimization on roundabouts

Journal article

Authors/Editors

Kassa, Semu

Research Areas

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Publication Details

Author list: Obsu LL, Delle Monache ML, Goatin P, Kassa SM

Publisher: Wiley: 12 months

Place: HOBOKEN

Publication year: 2015

Journal: Mathematical Methods in the Applied Sciences (0170-4214)

Journal acronym: MATH METHOD APPL SCI

Volume number: 38

Issue number: 14

Start page: 3075

End page: 3096

Number of pages: 22

ISSN: 0170-4214

eISSN: 1099-1476

Languages: English-Great Britain (EN-GB)

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Abstract

The aim of this article is to propose an optimization strategy for traffic flow on roundabouts using a macroscopic approach. The roundabout is modeled as a sequence of 2 x 2 junctions with one main lane and secondary incoming and outgoing roads. We consider two cost functionals: the total travel time and the total waiting time, which give an estimate of the time spent by drivers on the network section. These cost functionals are minimized with respect to the right of way parameter of the incoming roads. For each cost functional, the analytical expression is given for each junction. We then solve numerically the optimization problem and show some numerical results. Copyright (C) 2014 John Wiley & Sons, Ltd.

Keywords

conservation laws, macroscopic models, optimal control, Riemann problem, traffic problems

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