2003/07/31 by Dirk Helbing · 84 citations
Engineering · Mathematics · Physics and Astronomy · Social Sciences · #Computer network #Computer science #Constant (computer programming) #Discretization #Engineering #Extension (predicate logic) #Homogeneous #Mathematical analysis #Mathematical optimization #Mathematics #Physics #Queueing theory #Section (typography) #Simple (philosophy) #Simulation #Statistical physics #Traffic Prediction and Management Techniques #Traffic congestion #Traffic congestion reconstruction with Kerner's three-phase theory #Traffic control and management #Transport engineering #Transportation Planning and Optimization #Travel time #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/36/46/l03
published in Journal of Physics A Mathematical and General 36(46), L593-L598 (Institute of Physics) · Revised version, with a correction of a subscript in formula (9). For related work see http://www.helbing.org
openalex publication_date 2003/11/04 · arxiv created 2003/12/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length Δ x , we will subdivide roads into comparatively long homogeneous road sections of constant capacity with an inhomogeneity at the end. The related model is simple and numerically efficient. It is inspired by models of dynamic queueing networks and takes into account essential features of traffic flows. Instead of treating single vehicles or velocity profiles, it focusses on flows at specific cross sections and average travel times of vehicles.