Simulation of macroscopic traffic model with approximation velocity function: A study case in Jalan Buah Batu, Indonesia

The aim of this paper is to simulate the traffic flow from conservation laws model. In the conservation model, the velocity function is approximated by the observation data using polynomial least square approximation. The observation data which is consists of a relation between density and velocity is obtained from real traffic flow. The study case of this research is conducted from Jalan Buah Batu, Bandung, West Java, Indonesia. Here, the approximation of velocity in linear and quadratic forms are obtained as P₁(ρ) = -7.0667049017ρ + 7.301347437, and P₂(ρ) = 7.5604853733ρ² - 15.5128486187ρ + 9.2195225939 respectively. Using the velocity function P2, the position of leader is approximately 20 m in front of the leader of vehicles with velocity function P₁ in final time 15 s. Moreover, in final time 30 s of simulation, the difference position between the leader of vehicles using velocity function P₁ and P₂ is approximately 65 m.