Capacity drop is an empirically observed phenomenon in vehicular traffic flow on freeways whereby, after a critical density is reached, a state of congestion sets in, but the freeway does not become decongested again until the density drops well below the critical density. This introduces a hysteresis effect so that it is easier to enter the congested state than to leave it. However, many existing first-order models of traffic flow, particularly those used for control design, ignore capacity drop, leading to suboptimal controllers. In this paper, we consider a cell transmission model of traffic flow that incorporates capacity drop to study the problem of optimal freeway ramp metering. We show that, if capacity drop is ignored in the control design, then the resulting controller, obtained via a convex program, may be significantly suboptimal. We then propose an alternative model predictive controller that accounts for capacity drop via a mixed integer linear program and show that, for sufficiently large rollout horizon, this controller is optimal. We also compare these approaches to a heuristic handcrafted controller that is viewed as a modification of an integral feedback controller to account for capacity drop. This heuristic controller outperforms the controller that ignores capacity drop but underperforms compared to the proposed alternative model predictive controller. These results suggest that it is generally important to include capacity drop in the controller design process, and we demonstrate this insight on several case studies.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    On the Impact of the Capacity Drop Phenomenon for Freeway Traffic Flow Control


    Beteiligte:
    Cao, Michael E. (Autor:in) / Nilsson, Gustav (Autor:in) / Coogan, Samuel (Autor:in)


    Erscheinungsdatum :

    09.08.2021


    Format / Umfang :

    314040 byte





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Freeway Traffic Control in Presence of Capacity Drop

    Wang, Yibing / Yu, Xianghua / Zhang, Siyu et al. | IEEE | 2021


    Freeway Traffic Control in the Presence of Capacity Drop

    Zhang, Siyu / Yu, Xianghua / Wang, Yibing | ASCE | 2020


    Freeway Traffic Control in the Presence of Capacity Drop

    Zhang, Siyu / Yu, Xianghua / Wang, Yibing | TIBKAT | 2020



    Modeling the capacity drop phenomenon at freeway bottlenecks using the INTEGRATION software

    Chamberlayne, Edward / Rakha, Hesham / Bish, Douglas | Taylor & Francis Verlag | 2012