### Abstract

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 × 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.

Original language | English |
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Pages (from-to) | 3075-3096 |

Number of pages | 22 |

Journal | Mathematical Methods in the Applied Sciences |

Volume | 38 |

Issue number | 14 |

DOIs | |

Publication status | Published - 2014 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Engineering(all)

### Cite this

*Mathematical Methods in the Applied Sciences*,

*38*(14), 3075-3096. https://doi.org/10.1002/mma.3283