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Obsu, Legesse L.; Delle Monache, Maria Laura; Goatin, Paola; Kassa, Semu M.

Traffic flow optimization on roundabouts. (English) Zbl 1329.90034

Math. Methods Appl. Sci. 38, No. 14, 3075-3096 (2015).
Summary: The aim of this article is to propose an optimization strategy for traffic flowon roundabouts using amacroscopic approach. The roundabout is modeled as a sequence of \(2 \times 2\) 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 areminimized with respect to the right ofway 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.

Cited in 2 Documents

MSC:

90B20 Traffic problems in operations research
35L65 Hyperbolic conservation laws
49J20 Existence theories for optimal control problems involving partial differential equations

Keywords:

traffic problems; conservation laws; macroscopic models; Riemann problem; optimal control
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Full Text: DOI HAL

References:

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