Vehicle headway modeling and its inferences in macroscopic/microscopic traffic flow theory: A survey

L Li, XM Chen - Transportation Research Part C: Emerging …, 2017 - Elsevier
Vehicle headway distribution models are widely used in traffic engineering fields, since they
reflect the fundamental uncertainty in drivers' car-following maneuvers and meanwhile …

A Markov model for headway/spacing distribution of road traffic

X Chen, L Li, Y Zhang - IEEE Transactions on Intelligent …, 2010 - ieeexplore.ieee.org
In this paper, we link two research directions of road traffic-the mesoscopic headway
distribution model and the microscopic vehicle interaction model-together to account for the …

Modeling highway-traffic headway distributions using superstatistics

AY Abul-Magd - Physical Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
We study traffic clearance distributions (ie, the instantaneous gap between successive
vehicles) and time-headway distributions by applying the Beck and Cohen superstatistics …

Stochastic evolutions of dynamic traffic flow

X Chen, L Li, Q Shi - Modeling and Applications, 2015 - Springer
Road traffic flow is intrinsic with stochastic and dynamic characteristics so that traditional
deterministic theory no longer satisfies requirements of the evolution analysis. Stochastic …

Relaxation of saturated random sequential adsorption packings of discorectangles aligned on a line

NI Lebovka, MO Tatochenko, NV Vygornitskii… - Physical Review E, 2021 - APS
Relaxation of the packing of elongated particles (discorectangles) aligned on a line was
studied numerically. The aspect ratio (length-to-width ratio) for the discorectangles was …

Modelling gap-size distribution of parked cars using random-matrix theory

AY Abul-Magd - Physica A: Statistical Mechanics and its Applications, 2006 - Elsevier
We apply the random-matrix theory to the car-parking problem. For this purpose, we adopt a
Coulomb gas model that associates the coordinates of the gas particles with the …

Inter-vehicle gap statistics on signal-controlled crossroads

M Krbálek - Journal of Physics A: Mathematical and Theoretical, 2008 - iopscience.iop.org
We investigate a microscopical structure in a chain of cars waiting at a red signal on signal-
controlled crossroads. A one-dimensional space-continuous thermodynamical model …

Epitaxial growth in one dimension

JD Álvarez-Cuartas… - Journal of Physics …, 2024 - iopscience.iop.org
The final structure and properties of layers grown by epitaxy techniques are determined in
the very early stage of the process. This review describes one-dimensional models for …

Parking and the visual perception of space

P Šeba - Journal of Statistical Mechanics: Theory and …, 2009 - iopscience.iop.org
Using measured data we demonstrate that the statistical properties of the distances between
parked cars and the distances between birds perching on a power line are identical. We …

Territorial behaviour of buzzards versus random matrix spacing distributions

G Akemann, M Baake, N Chakarov, O Krüger… - Journal of Theoretical …, 2021 - Elsevier
A deeper understanding of the processes underlying the distribution of animals in space is
crucial for both basic and applied ecology. The Common buzzard (Buteo buteo) is a highly …