Multi-directional continuous traffic model for large-scale urban networks

Boundary Control for Multi-Directional Traffic on Urban Networks

“…We use the NEWS model introduced in [16] to predict traffic evolution on a general urban network. The state is described in terms of vehicle density ρ = (ρ N , ρ S , ρ W , ρ E ) T ∈ R 4 evolving in 4 cardinal direction layers: North (N), East (E), West (W) and South (S).…”

“…In [16] the NEWS model was first derived to describe density propagation in a vicinity of any intersection in a unified way. It was then extended to networks by defining intersection parameters everywhere in domain Ω through interpolation (details are given below).…”

“…First, we define the maximal density ρ max by placing vehicles at every road with a headway distance of 6 m. We assume that every vehicle contributes to global density with a Gaussian kernel with standard deviation 50 m centred at its position (see [10]). Further, we project all intersection and FD parameters α, β, L, cos θ, sin θ, ρ max , v and ω into NEWS formulation using network geometry data (see [16] for a detailed description). Then, these variables are interpolated using Inverse Distance Weighting that assignes values to parameters as a function of distance to roads, see also [10].…”

“…Then, they are also not necessarily hyperbolic, i.e., their type varies with parameters, which exaggerates its analysis and numerical simulation. Our recent work [16] fixes both of these aspects introducing a multi-directional model that uses network geometry to assign direction layers to corresponding density evolutions: North, East, West and South (NEWS model). The direction layers are coupled, i.e., the model captures vehicles that change the direction of movement.…”

A new car following model based on weighted average velocity field

“…These problems have impacted the quality of people's work and life. Considering the increasingly serious traffic issues, various researchers have endeavored to comprehend traffic flow and its dynamic characteristics [3,4]. As a result, different traffic flow models has been developed to address and reduce traffic problems considering different aspects of traffic flow theory.…”