Modeling and simulation of multilane traffic flow

Abstract

A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multilane model for uni-directional freeways including acceleration, deceleration, velocity fluctuations, overtaking and lane-changing maneuvers is systematically deduced from a gas-kinetic (Boltzmann-like) approach. The resulting equations contain corrections with respect to previous models. For efficient computer simulations, a reduced model delineating the coarse-grained temporal behavior is derived and applied to bottleneck situations.

Traffic and related self-driven many-particle systems

“…It would be particularly interesting to look at the dependence of lane-changing rates on the velocity-difference among lanes. Helbing et al, 2001b; see also Helbing, 1997a, b;Helbing et al, 2001a). (b), (c) Average velocities of cars and trucks (long vehicles) in the left and the right lane as a function of the density.…”

Lane changing control to reduce traffic load effect on long-span bridges

“…Yousif & Hunt (1995), Sparmann (1979), Brackstone et al (1998), Hidas (2005) describe lane change rates as a function of flow, and these observations can be used to calibrate a lane-change model. Further efforts use other approaches, such as kinematic wave theory (Laval et al 2006) and a gas-kinetic (Boltzmann) model (Helbing & Greiner (1997)). Hidas (2002 and2005) outlines some recent work in the development of microscopic models for lane changing.…”

A Vehicular Traffic Flow Model Based on a Stochastic Acceleration Process

“…Because of its mathematical complexity, in literature this function often is simplified on the local car density only. For a more precise modeling of overtaking effects a multilane model has to be constructed in the same manner as is done elsewhere [35].…”

“…The acceleration of a vehicle due to the lack of leading vehicles and the braking due to a leading vehicle. Overtaking normally is introduced via a special passing probability depending on the car density, [4], or using multi lane coupling [35]. Though acceleration often is modeled as a mean-value function [29,27], the de acceleration interaction is a jump process in the velocity variable, i.e.…”