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Optimal traffic control in highway transportation networks using linear programming | IEEE Conference Publication | IEEE Xplore

Optimal traffic control in highway transportation networks using linear programming


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 conserv...Show More

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.
Date of Conference: 24-27 June 2014
Date Added to IEEE Xplore: 24 July 2014
Print ISBN:978-3-9524269-1-3
Conference Location: Strasbourg, France

References

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