Abstract: Heterogeneous motor vehicle flow models are developed to take into account of local and major changes such as the increase of motor vehicle types and number, increase of the number of lanes, lane shifting characteristics, overtaking and identification of areas prone to accidents and congestion. Lighthill - Whitham and Richards motor vehicle traffic model, investigated how homogeneous vehicles travels in a one dimensional, single lane road; without curvatures. Petrosyan and Balabanyan