A Road Trafic Speed-Accidents Optimization Model

Studies summarizing findings from before and after studies of the impacts of speed on accidents have resulted
in a rule of thumb saying that a 1 km/h decrease in mean speed causes a 3 percent reduction in injury
accidents.
Currently the crash risk and road risk are protected by speed limit. According to international context the
Speed limits are set as less than 50km/hr in urban. This is because of factors such as high crash risk and high
road traffic accidents. However, only speed limit cannot minimize the crash risk and road traffic accident.
In this model, the objective function is a road traffic speed- accidents risk itself and each constraint are the
sum of speed of vehicles per each partition and per each round.
By using this optimization model, we can calculate the road accidents risk of every vehicle. As a result these
risks will be converted to means of income by introducing tax to each vehicle base on their speed.
The purpose of this optimization model is to minimize the road accidents risk and to maximize government
income