The Traffic Reaction Model: A kinetic compartmental approach to road traffic modeling
Artikel i vetenskaplig tidskrift, 2024

In this work, a family of finite volume discretization schemes for LWR-type first order traffic flow models (with possible on- and off-ramps) is proposed: the Traffic Reaction Model (TRM). These schemes yield systems of ODEs that are formally equivalent to the kinetic systems used to model chemical reaction networks. An in-depth numerical analysis of the TRM is performed. On the one hand, the analytical properties of the scheme (nonnegative, conservative, capacitypreserving, monotone) and its relation to more traditional schemes for traffic flow models (Godunov, CTM) are presented. Finally, the link between the TRM and kinetic systems is exploited to offer a novel compartmental interpretation of traffic models. In particular, kinetic theory is used to derive dynamical properties (namely persistence and Lyapunov stability) of the TRM for a specific road configuration. Two extensions of the proposed model, to networks and changing driving conditions, are also described.

traffic flow

chemical reaction network

stability

FVT

transformation

traffic network

numerical scheme

PDE

flow model

Författare

Mike Pereira

Université de recherche Paris Sciences et Lettres

Chalmers, Elektroteknik, System- och reglerteknik

Balázs Adam Kulcsár

Chalmers, Elektroteknik, System- och reglerteknik

Gyorgy Liptak

Pázmány Péter Katolikus Egyetem

SZAMITASTECHNIKAI ES AUTOMATIZALASI KUTATOINTEZET

Mihaly Kovacs

SZAMITASTECHNIKAI ES AUTOMATIZALASI KUTATOINTEZET

Pázmány Péter Katolikus Egyetem

Transportation Research, Part C: Emerging Technologies

0968-090X (ISSN)

Vol. 158 104435

E-Laas: Energioptimal urban logistik som tjänst

Europeiska kommissionen (EU) (F-ENUAC-2022-0003), 2023-05-01 -- 2025-04-30.

Energimyndigheten (2023-00021), 2023-05-02 -- 2025-04-30.

STOchastic Traffic NEtworks (STONE)

Chalmers AI-forskningscentrum (CHAIR), -- .

Chalmers, 2020-02-01 -- 2022-01-31.

Styrkeområden

Transport

Ämneskategorier

Beräkningsmatematik

Transportteknik och logistik

Reglerteknik

DOI

10.1016/j.trc.2023.104435

Mer information

Senast uppdaterat

2024-01-10