Font Size: 

This study aims to determine the model of the traffic flow queuing system of three crossroads, namely the Monjali-Perempatan Kentungan airport, and the Gejayan Yogyakarta crossroad by using max-plus algebra. This research is based on data on traffic flow density, especially cars and traffic light duration data on the 3 crossroads. Then, an image is drawn describing the condition of the crossroad and representing the direction of the movement of the car especially in the direction of Monjali to Gejayan. The model is then compiled which includes the waiting time of the vehicle when the lights are on, the time the vehicle leaves the crossroad during the green light, and the travel time of the vehicle crossroad with max-pluss algebra, so that the total length of time from Monjali to the Gejayan crossroad can be determined. The results of the study show that the queue system can be modeled using max-plus algebra. Furthermore, it can be determined the waiting time, the time to leave the crossroad, and the total time needed to cross from the Monjali crossroad to exit the Gejayan crossroad.Keywords: max-plus algebra, traffic queue system

Keywords: max-plus algebra, traffic queue system