Modeling phase diagrams as stochastic processes with application in vehicular traffic flow

DOI10.1016/j.apm.2017.08.029zbMath1480.90093OpenAlexW2751792509MaRDI QIDQ2294930

Hui K. Hsieh, Daiheng Ni, Tao Jiang

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.08.029

zbMATH Keywords

stochastic processfundamental diagramvehicular traffic flowMaxwell-Boltzmann distribution

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (8)

A mixed finite element method for modeling the fluid exchange between microcirculation and tissue interstitium ⋮ Kinetic-controlled hydrodynamics for multilane traffic models ⋮ Analytical formulation for explaining the variations in traffic states: a fundamental diagram modeling perspective with stochastic parameters ⋮ Short-term traffic flow prediction based on a hybrid optimization algorithm ⋮ Uncertainty damping in kinetic traffic models by driver-assist controls ⋮ Optimal feedback control of pedestrian counter flow in bidirectional corridors with multiple inflows ⋮ Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles ⋮ The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations

Cites Work

• Unnamed Item
• Nonlinear Follow-the-Leader Models of Traffic Flow
• Shock Waves on the Highway
• An Analysis of Traffic Flow
• Nonlinear Effects in the Dynamics of Car Following
• On kinematic waves II. A theory of traffic flow on long crowded roads

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