Travel time is an important concept in various intelligent transportation system applications. A density-based travel time partial differential equation (PDE) based on the Lighthill-Whitham-Richards (LWR) model, and its dynamics are reviewed. The travel time dynamics are an asymmetric, one-sided coupled system of hyperbolic PDEs. Although the model has been derived previously, and its applications have been proposed, important properties of the solution to the travel time PDE are studied for the first time. The travel time PDE has the form of a Hamilton Jacobi equation. For this type of equation, finding a unique solution that is consistent with reality is accomplished by finding its viscosity solution. The main contribution of this paper is the mathematical development of the method for finding the viscosity solution of the given travel time PDE.


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    Title :

    The Viscosity Solution for Hamilton Jacobi Travel Time Dynamics


    Contributors:


    Publication date :

    2020-11-01


    Size :

    1866616 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



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