A Thesis Submitted In Partial Fulfillment Of The Requirements For The Degree Of Masters In Mathematics

Abstract

Most highways merge at some section specially when entering a city or a town. Some also with several number of lanes, narrows down due to infrastructure or land topology. This lead to vehicles slowing down and as a result traffic congestion situation is created.In this thesis, we attempted to analyze traffic flow at merging junction. To this aim,we have considered a merging junction with two incoming and one outgoing roads. The evolution of traffic on each segment of the merging junction is governed by non-linear hyperbolic partial differential equation. Keywords: Merging Junction,Conservation Law,