2014
DOI: 10.1002/mma.3283
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Traffic flow optimization on roundabouts

Abstract: International audienceThe 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 … Show more

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Cited by 8 publications
(6 citation statements)
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“…Firstly, in order to create a four-arm roundabout model, the three-arm roundabout model must be created and validated with the existing model. In 2015, Obsu created a three -arm roundabout model [3]. However, in the calculation of Total Travel Time and Total Waiting Time, the author only considered a single-arm junction with two incoming roads and two outgoing roads.…”
Section: Introductionmentioning
confidence: 99%
See 2 more Smart Citations
“…Firstly, in order to create a four-arm roundabout model, the three-arm roundabout model must be created and validated with the existing model. In 2015, Obsu created a three -arm roundabout model [3]. However, in the calculation of Total Travel Time and Total Waiting Time, the author only considered a single-arm junction with two incoming roads and two outgoing roads.…”
Section: Introductionmentioning
confidence: 99%
“…The first major step in the macroscopic modelling of traffic flow was undertaken by Lighthill and Whitham in 1955, when they indexed the comparability of traffic flow on long crowded roads with 'flood movements in long rivers'. A year later, Richards (1956) complemented the idea with the introduction of 'shock-waves on the highway', completing the so-called Lighthill-Whitham-Richards (LWR) model [3]. This LWR model proposed a fluid dynamic model for traffic flow on a single lane using nonlinear partial differential equations.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…In these contexts, a crucial role is played by the design, analysis and numerical implementation of controls acting at the nodes of the network. The investigation of optimal control properties of time varying parameters corresponding to junction distribution coefficients have been considered for example in [21,22,23,42,46,50,51,69] while inflow controls have been analyzed in [28,36,45,65].…”
Section: Introductionmentioning
confidence: 99%
“…Modern roundabouts can be effective in rural and urban environments and serve multiple vehicle types and roadway users (Hellinga and Sindi, 2012;Mussone et al, 2013;Kang et al, 2014;Obsu et al, 2014). Moreover, compared with signalized intersections, roundabouts have been proven to improve safety by reducing conflict points and the operating speed around the central island (Munawar and Haryanto, 2010;Wong et al, 2012).…”
Section: Introductionmentioning
confidence: 99%