A driver's memory lattice model of traffic flow and its numerical simulation
From MaRDI portal
Publication:437366
DOI10.1007/s11071-011-0107-2zbMath1242.90006OpenAlexW2154517937MaRDI QIDQ437366
Fangyan Nie, Changqing Liu, Bin-Fang Cao, Guang-Han Peng
Publication date: 17 July 2012
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-011-0107-2
KdV equations (Korteweg-de Vries equations) (35Q53) Traffic problems in operations research (90B20) Computational methods for problems pertaining to operations research and mathematical programming (90-08)
Related Items (51)
Traffic flow on percolation-backbone fractal ⋮ KdV-Burgers equation in the modified continuum model considering anticipation effect ⋮ Effect of vehicular size on chain-reaction crash ⋮ Complex motion of a shuttle bus between two terminals with periodic inflows ⋮ A new car-following model with consideration of the velocity difference between the current speed and the historical speed of the leading car ⋮ Effect of velocity-dependent friction on multiple-vehicle collisions in traffic flow ⋮ New control strategy for the lattice hydrodynamic model of traffic flow ⋮ Complex motion of a vehicle through a series of signals controlled by power-law phase ⋮ Dynamic transition induced by route choice in two-route traffic network with onramp ⋮ Traffic flow on star graph: nonlinear diffusion ⋮ Stability analysis of a new lattice hydrodynamic model by considering lattice's self-anticipative density effect ⋮ KdV-Burgers equation in a new continuum model based on full velocity difference model considering anticipation effect ⋮ Dividing traffic cluster into parts by signal control ⋮ Lattice hydrodynamic modeling of traffic flow with consideration of historical current integration effect ⋮ Cellular automaton for migration in ecosystem: application of traffic model to a predator-prey system ⋮ A new lattice model with the consideration of the traffic interruption probability for two-Lane traffic flow ⋮ Effect of driver's anticipation in a new two-Lane lattice model with the consideration of optimal current difference ⋮ Understanding of spatiotemporal congestion patterns: A lattice model with predictive effect and density integral ⋮ Analysis of the historical time integral form of relative flux and feedback control in an extended lattice hydrodynamic model ⋮ An extended car-following model considering driver's sensory memory and the backward looking effect ⋮ Symbolic dynamics of glider guns for some one-dimensional cellular automata ⋮ An extended two-lane lattice hydrodynamic model for traffic flow on curved road with passing ⋮ The impact of the density difference memory integral on traffic stability in two-lane lattice hydrodynamic model ⋮ The stabilization effect of self-delayed flux integral for two-lane lattice hydrodynamic model ⋮ Self-stabilizing analysis of an extended car-following model with consideration of expected effect ⋮ Traffic flow stabilized by matching speed on network with a bottleneck ⋮ A car-following dynamic model with headway memory and evolution trend ⋮ An extended continuum model accounting for the driver's timid and aggressive attributions ⋮ A new lattice hydrodynamic model considering the effects of bilateral gaps on vehicular traffic flow ⋮ Chain reaction of traffic breakdowns in coupled-cycle networks ⋮ Modeling heterogeneity in an open percolation backbone fractal traffic network ⋮ Integrating the historical evolution information integral effect in car-following model under the V2X environment ⋮ Heterogeneous lattice hydrodynamic model and jamming transition mixed with connected vehicles and human-driven vehicles ⋮ Dynamic model for traffic concentration and congestion near bridge ⋮ Lattice hydrodynamic model based delay feedback control of vehicular traffic flow considering the effects of density change rate difference ⋮ Riesz Riemann–Liouville difference on discrete domains ⋮ Analysis of a novel two-lane lattice model on a gradient road with the consideration of relative current ⋮ Phase transition of a new lattice hydrodynamic model with consideration of on-ramp and off-ramp ⋮ A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-Lane system ⋮ A new lattice hydrodynamic model for two-lane traffic with the consideration of density difference effect ⋮ Two-lane lattice hydrodynamic model considering the empirical lane-changing rate ⋮ A new lattice hydrodynamic model based on control method considering the flux change rate and delay feedback signal ⋮ A two-dimensional lattice hydrodynamic model considering shared lane marking ⋮ Jamming transition of a two-dimensional traffic dynamics with consideration of optimal current difference ⋮ Analytical studies on the instabilities of heterogeneous intelligent traffic flow ⋮ A new lattice model of traffic flow with the consideration of individual difference of anticipation driving behavior ⋮ TDGL equation in lattice hydrodynamic model considering driver's physical delay ⋮ The theoretical analysis of the anticipation lattice models for traffic flow ⋮ Analysis of a modified two-lane lattice model by considering the density difference effect ⋮ Macroscopic traffic flow in multiple-loop networks ⋮ A novel construction of chaotic dynamics base gliders in diffusion rule B2/S7
Cites Work
- A new lattice model of traffic flow with the consideration of the driver's forecast effects
- Effect of the optimal velocity function on traffic phase transitions in lattice hydrodynamic models
- AN EXTENDED OV MODEL WITH CONSIDERATION OF DRIVER'S MEMORY
- STABILIZATION ANALYSIS AND MODIFIED KdV EQUATION OF LATTICE MODELS WITH CONSIDERATION OF RELATIVE CURRENT
This page was built for publication: A driver's memory lattice model of traffic flow and its numerical simulation