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Design and Simulation of Traffic Light Control System at Two Intersections Using Max-Plus Model Predictive Control

Endra Joelianto, Herman Y. Sutarto, Davindra Giovanno Airulla, Muhammad Zaky


This paper considers a traffic light system optimization within two nearby intersections to deal with the most minimum traffic queue. Including an effort within this scope is to prevent the likelihood of spillover by creating a certain limit for the lane between both intersections. The traffic light system is made adaptive based on a flow model of each cycle obtained from actual conditions in the city of Surabaya, Indonesia. The flow model is grouped into several time clusters based on the similarity of each flow with the Gaussian distribution assumption. The flow model is then used on the traffic model system in order to predict the queue length when the duration of the traffic light is being manipulated. Simulation is carried out in SUMO by combining the max-plus model and stochastic traffic flow data. An approximate optimum solution of traffic light duration is solved by means of the model predictive control framework.


Clustering, max-plus model predictive control, urban transportation, intelligent traffic system, stochastic hybrid system.

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