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Journal Articles Mathematical Methods in the Applied Sciences Year : 2015

Traffic flow optimization on roundabouts


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 × 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.
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Dates and versions

hal-00939985 , version 1 (31-01-2014)



Legesse Lemecha Obsu, Maria Laura Delle Monache, Paola Goatin, Semu Mitiku Kassa. Traffic flow optimization on roundabouts. Mathematical Methods in the Applied Sciences, 2015, 38 (14), pp.3075-3096. ⟨10.1002/mma.3283⟩. ⟨hal-00939985⟩
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