We derive a control theoretic model of sector-based air traffic flow using hybrid automata theory. This model is Lagrangian, meaning that it models the properties of the system along its trajectories. A subset of this model is used to generate analytic predictions of air traffic congestion: we define and derive a dynamic sector capacity which we use to predict the time it takes to overload a given portion of airspace. This result links our approach with Eulerian models, which account for temporal variations of parameters in a fixed volume. We design and validate an air traffic flow simulator, to assess the accuracy of our predictions. The simulator is then used to show that flow scheduling and conflict resolution may be decorrelated under assumptions on aircraft density.


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    Title :

    Lagrangian Delay Predictive Model for Sector-Based Air Traffic Flow


    Contributors:
    A. M. Bayen (author) / P. Grieder (author) / G. Meyer (author) / C. J. Tomlin (author)

    Publication date :

    2004


    Size :

    35 pages


    Type of media :

    Report


    Type of material :

    No indication


    Language :

    English





    Langrangian Delay Predictive Model for Sector-Based Air Traffic Flow

    Alexandre Bayen / Pascal Grieder / George Meyer et al. | AIAA | 2005


    A Control Theoretic Predictive Model for Sector-Based Air Traffic Flow

    Bayen, Alexandre / Grieder, Pascal / Tomlin, Claire | AIAA | 2002


    AIAA-2002-5011 A Control Theoretic Predictive Model for Sector-Based Air Traffic Flow

    Tomlin, C. / Grieder, P. / Bayen, A. et al. | British Library Conference Proceedings | 2002