Vehicle headway modeling and its inferences in macroscopic/microscopic traffic flow theory: A survey
Vehicle headway distribution models are widely used in traffic engineering fields, since they
reflect the fundamental uncertainty in drivers' car-following maneuvers and meanwhile …
reflect the fundamental uncertainty in drivers' car-following maneuvers and meanwhile …
A Markov model for headway/spacing distribution of road traffic
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 …
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 …
vehicles) and time-headway distributions by applying the Beck and Cohen superstatistics …
Stochastic evolutions of dynamic traffic flow
Road traffic flow is intrinsic with stochastic and dynamic characteristics so that traditional
deterministic theory no longer satisfies requirements of the evolution analysis. Stochastic …
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 …
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 …
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 …
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 …
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 …
parked cars and the distances between birds perching on a power line are identical. We …
Territorial behaviour of buzzards versus random matrix spacing distributions
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 …
crucial for both basic and applied ecology. The Common buzzard (Buteo buteo) is a highly …