Convex optimization for energy-efficient traffic control

This article presents a convex optimization approach to reduce fuel consumption of traffic flow on highways through speed limit control. By implementing Greenshields fundamental diagram, the solution to Moskowitz equations is expressed as linear equations with respect to vehicle inflow and outflow, which leads to generation of a linear traffic flow model. In addition, we build a quadratic function to estimate fuel consumption rate based on COPERT model. The energy-efficient traffic control problem is formulated as a convex quadratic optimization problem. Simulation results demonstrate significant reduction of fuel consumption, alleviation of congestion, and improved robustness using the proposed approach under high traffic demands.