Abstract This chapter presents the basic traffic flow theory which is used in the following chapters for control problem formulations. The theory develops the Lighthill–Whitham–Richards (LWR) model that uses the conservation law for traffic. Additionally, a density-dependent speed formula is used. There are many relationships available for this fundamental diagram, the chapter uses Greenshields’ formula for further analysis. Elementary partial differential equations (PDE) theory is also presented including the method of characteristics needed for the analysis of the traffic model. Shockwaves and weak solutions are discussed followed by a brief discussion of traffic measurements.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Traffic Flow Theory


    Contributors:


    Edition :

    2nd ed. 2018


    Publication date :

    2018-01-01


    Size :

    31 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




    Traffic flow theory

    As, S. C. | TIBKAT | 1993


    Traffic flow theory

    Gazis, D.C. / Edie, L.C. | Tema Archive | 1968


    Traffic flow theory

    Gazis, D.C. / Edie, L.C. | Engineering Index Backfile | 1968