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Networked traffic state estimation involving mixed fixed-mobile sensor data using Hamilton-Jacobi equations

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  • Canepa, Edward S.
  • Claudel, Christian G.

Abstract

Nowadays, traffic management has become a challenge for urban areas, which are covering larger geographic spaces and facing the generation of different kinds of traffic data. This article presents a robust traffic estimation framework for highways modeled by a system of Lighthill Whitham Richards equations that is able to assimilate different sensor data available. We first present an equivalent formulation of the problem using a Hamilton–Jacobi equation. Then, using a semi-analytic formula, we show that the model constraints resulting from the Hamilton–Jacobi equation are linear ones. We then pose the problem of estimating the traffic density given incomplete and inaccurate traffic data as a Mixed Integer Program. We then extend the density estimation framework to highway networks with any available data constraint and modeling junctions. Finally, we present a travel estimation application for a small network using real traffic measurements obtained obtained during Mobile Century traffic experiment, and comparing the results with ground truth data.

Suggested Citation

  • Canepa, Edward S. & Claudel, Christian G., 2017. "Networked traffic state estimation involving mixed fixed-mobile sensor data using Hamilton-Jacobi equations," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 686-709.
    • Handle: RePEc:eee:transb:v:104:y:2017:i:c:p:686-709
    DOI: 10.1016/j.trb.2017.05.016
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    References listed on IDEAS

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    Cited by:

    1. Liu, Jiangtao & Zhou, Xuesong, 2019. "Observability quantification of public transportation systems with heterogeneous data sources: An information-space projection approach based on discretized space-time network flow models," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 302-323.
    2. Zhang, Jinyu & Huang, Di & Liu, Zhiyuan & Zheng, Yifei & Han, Yu & Liu, Pan & Huang, Wei, 2024. "A data-driven optimization-based approach for freeway traffic state estimation based on heterogeneous sensor data fusion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 189(C).

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