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Article

DIFFERENTIAL EVOLUTION APPROACH TO CALCULATE OPTIMAL RAMP METERING RATES

DOI: 10.7708/ijtte.2017.7(1).05


7 / 1 / 68 - 78 Pages

Author(s)

Anton Sysoev - Applied Mathematics Department, Lipetsk State Technical University, Lipetsk, Russia -

Sandra Hohmann - Institute for Traffic Engineering and Management, Ruhr-University Bochum, Bochum, Germany -

Justin Geistefeldt - Institute for Traffic Engineering and Management, Ruhr-University Bochum, Bochum, Germany -


Abstract

Ramp metering is a very popular and effective way to prevent traffic congestion on freeways. Many different control strategies depending on the traffic characteristics and/or features of the freeway were implemented. Whatever strategy is used, it must be effective not only in terms of preventing traffic breakdowns or supporting recovery from congestion, but also of the simplicity of solving the mathematical problem underlying the control strategy. The paper introduces DERMS – an approach for a coordinated ramp metering control strategy based on solving a non-linear optimization problem. The solution of the described problem was found using the Differential Evolution strategy giving a global optimum for non-linear and non-differentiable or multimodal functions. Numerical experiments were made using data from a freeway section in Germany operated by a ramp metering system. The results proved the effectiveness of the proposed approach compared with local ramp metering strategies.


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Keywords:
ramp metering; differential evolution; freeways modeling; traffic optimization;


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