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    Optimal traffic control in highway transportation networks using linear programming

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    Type
    Conference Paper
    Authors
    Li, Yanning
    Canepa, Edward S. cc
    Claudel, Christian G. cc
    KAUST Department
    Mechanical Engineering Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Distributed Sensing Systems Laboratory (DSS)
    Date
    2014-06
    Permanent link to this record
    http://hdl.handle.net/10754/575823
    
    Metadata
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    Abstract
    This article presents a framework for the optimal control of boundary flows on transportation networks. The state of the system is modeled by a first order scalar conservation law (Lighthill-Whitham-Richards PDE). Based on an equivalent formulation of the Hamilton-Jacobi PDE, the problem of controlling the state of the system on a network link in a finite horizon can be posed as a Linear Program. Assuming all intersections in the network are controllable, we show that the optimization approach can be extended to an arbitrary transportation network, preserving linear constraints. Unlike previously investigated transportation network control schemes, this framework leverages the intrinsic properties of the Halmilton-Jacobi equation, and does not require any discretization or boolean variables on the link. Hence this framework is very computational efficient and provides the globally optimal solution. The feasibility of this framework is illustrated by an on-ramp metering control example.
    Citation
    Li, Y., Canepa, E., & Claudel, C. (2014). Optimal traffic control in highway transportation networks using linear programming. 2014 European Control Conference (ECC). doi:10.1109/ecc.2014.6862338
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2014 European Control Conference (ECC)
    Conference/Event name
    13th European Control Conference, ECC 2014
    ISBN
    9783952426913
    DOI
    10.1109/ECC.2014.6862338
    ae974a485f413a2113503eed53cd6c53
    10.1109/ECC.2014.6862338
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