Phase transition of a new lattice hydrodynamic model with consideration of on-ramp and off-ramp

DOI10.1016/j.cnsns.2017.06.011OpenAlexW2621916139MaRDI QIDQ2204816

Geng Zhang, Min Zhao, Di-Hua Sun

Publication date: 16 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.06.011

zbMATH Keywords

traffic flowmKdV equationlattice hydrodynamic modelon-rampoff-ramp

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (11)

Stability analysis for a new lattice hydrodynamic model with time-varying delay in sensing traffic flux ⋮ Nonlinear analysis of the car-following model considering headway changes with memory and backward looking effect ⋮ Study on the continuous delayed optimal flow on traffic stability in a new macro traffic model ⋮ Delay-independent traffic flux control for a discrete-time lattice hydrodynamic model with time-delay ⋮ Energy consumption in a new lattice hydrodynamic model based on the delayed effect of collaborative information transmission under V2X environment ⋮ 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 ⋮ Multi-mode solitons in a long-short range traffic lattice model with time delay ⋮ An improved car-following model accounting for the time-delayed velocity difference and backward looking effect ⋮ A new lattice hydrodynamic model based on control method considering the flux change rate and delay feedback signal ⋮ Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model

Cites Work

• A driver's memory lattice model of traffic flow and its numerical simulation
• Nonlinear analysis of lattice model with consideration of optimal current difference
• A new lattice model of traffic flow with the anticipation effect of potential lane changing
• A new lattice model of traffic flow with the consideration of individual difference of anticipation driving behavior
• Analysis of a modified two-lane lattice model by considering the density difference effect
• A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-Lane system
• ANALYSIS OF GENERALIZED OPTIMAL CURRENT LATTICE MODEL FOR TRAFFIC FLOW
• STABILIZATION ANALYSIS AND MODIFIED KdV EQUATION OF LATTICE MODELS WITH CONSIDERATION OF RELATIVE CURRENT
• Phase transitions in a cellular automaton model of a highway on-ramp

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