Traffic flow data are stochastic in nature, and an abundance of literature exists thereof. One way to express stochastic data is the Langevin equation. Langevin equation consists of two parts. The first part is known as the deterministic drift term, the other as the stochastic diffusion term. Langevin equation does not only help derive the deterministic and random terms of the selected portion of the city of Istanbul traffic empirically, but also sheds light on the underlying dynamics of the flow. Drift diagrams have shown that slow lane tends to get congested faster when vehicle speeds attain a value of 25 km/h, and it is 20 km/h for the fast lane. Three or four distinct regimes may be discriminated again from the drift diagrams; congested, intermediate, and free-flow regimes. At places, even the intermediate regime may be divided in two, often with readiness to congestion. This has revealed the fact that for the selected portion of the highway, there are two main states of flow, namely, congestion and free-flow, with an intermediate state where the noise-driven traffic flow forces the flow into either of the distinct regimes.


    Access

    Download


    Export, share and cite



    Title :

    An Analysis of Vehicular Traffic Flow Using Langevin Equation


    Contributors:


    Publication date :

    2015




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    Unknown




    VEHICULAR TRAFFIC FLOW OPTIMIZATION

    GERAGHTY TIMOTHY / CHEN CAROLEEN | European Patent Office | 2023

    Free access

    Vehicular traffic flow optimization

    GERAGHTY TIMOTHY / CHEN CAROLEEN | European Patent Office | 2024

    Free access

    Analysis and simulation of vehicular traffic flow

    Trautman, D.L. / Davis, H. / Heilfron, J. et al. | Engineering Index Backfile | 1954


    Analysis and simulation of vehicular traffic flow

    Institute of Transportation and Traffic Engineering, Berkeley, Calif. | TIBKAT | 1954


    Vehicular Traffic Flow Theory and Tunnel Traffic Flow Measurements

    G. Chin / L. Jordan / D. Kahn et al. | NTIS | 1971