REPRESENTATION OF CAPACITY DROP AT A ROAD MERGE VIA POINT CONSTRAINTS IN A FIRST ORDER TRAFFIC MODEL
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | REPRESENTATION OF CAPACITY DROP AT A ROAD MERGE VIA POINT CONSTRAINTS IN A FIRST ORDER TRAFFIC MODEL |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Dal Santo E, Donadello C, Pellegrino SF, Rosini MD |
| Journal | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE |
| Volume | 53 |
| Pagination | 1-34 |
| Date Published | MAR 14 |
| Type of Article | Article |
| ISSN | 0764-583X |
| Mots-clés | finite volumes schemes, LWR model, point constraint on the flux, Scalar conservation law, traffic flow on networks |
| Résumé | We reproduce the capacity drop phenomenon at a road merge by implementing a non-local point constraint at the junction in a first order traffic model. We call capacity drop the situation in which the outflow through the junction is lower than the receiving capacity of the outgoing road, as too many vehicles trying to access the junction from the incoming roads hinder each other. In this paper, we first construct an enhanced version of the locally constrained model introduced by Haut et al. (Proceedings 16th IFAC World Congress. Prague, Czech Republic 229 (2005) TuM01TP/3), then we propose its counterpart featuring a non-local constraint and finally we compare numerically the two models by constructing an adapted finite volumes scheme. |
| DOI | 10.1051/m2an/2019002 |