Queue length optimization of vehicles at road intersection using parabolic interpolation method

Traffic congestion has become a serious problem in Indonesia, especially in Jakarta city. The main problem occurs at intersections. One of the solutions that can be proposed to reduce congestion at the intersection is to implement traffic signal control strategy at the intersection. Levels of congestion are determined by the queue length of vehicles. Green time (Tg) and red time (Tr) are determined by the queue length on each of the intersection leg. The lowest congestion level is represented by the smallest value of queue length. Optimization is performed in order to find an optimal value of green time (Tg), such that the queue length of vehicles becomes the smallest in constant cycle time. Due to the cycle time (Tn) is constant and the intersection is controlled in 2 phases, the variable needed to be optimized is only the green time (Tg). The red time (Tr) can then be counted from the cycle time (Tn) minus the green time (Tg).