SIMULATION OF TRAFFIC CONGESTION AT UNSIGNALISED INTERSECTIONS USING A MICROSCOPIC TRAFFIC FLOW MODEL

Abstract

Traffic flow in most urban areas is augmenting due to growth in transport and con- tinual demand for it, most particularly at unsignalised intersections. To address this, we developed and analyzed a Microscopic Tra c Flow Model for describing tra c ow at those unsignalised intersections that incorporated lane-changing maneuvers and performed a simulation of the tra c formation. A Microscopic Tra c ow model describes the motion of each vehicle by modeling the action of the vehicles such as the acceleration and deceleration of each driver. A qual- itative study was done. We proved that intersections can cause tra c jams if not well managed. To achieve this, the general motors car following model was used so that the motion of each vehicle was discretely monitored and this dis- cretization was done using the Forward Finite Di erence Method. The existence and uniqueness of the results was done by invoking the lipschitz conditions. The results obtained for example the back-chaining of the leading vehicles behaviour was replicated in the tra c scenario considered and agreed with what happen in real world.