Utilizing The Max-Flow Min-Cut Theorem: Ford-Fulkerson Algorithm for Traffic Congestion Management

Abstract

This research paper explores the application of the Ford-Fulkerson algorithm to analyze road traffic congestion in Kharadi Bypass, Pune a rapidly urbanizing city facing severe traffic management challenges. Traffic congestion has become a significant urban transport issue, resulting from the increasing number of vehicles and insufficient road infrastructure to accommodate the growing urban population. This article deals with the identification of maximum flow in the road traffic of Pune through the Ford-Fulkerson algorithm, which is well-established in graph theory. The study identifies critical nodes from key routes and intersections within the city, thereby delineating congestion causative nodes. The analysis reflects that for Pune, low road connectivity to a large extent in demand areas exacerbates congestion with significant levels of delay faced by the users of the roads, including pedestrians and public transport users. Moreover, potential solutions arising to alleviate congestion suggest the need for improvement of infrastructure through the laying of additional roads and the optimization of existing facilities. Results From this background, it is clear how important it is to have a systemic approach to the management of traffic in an urban scenario, and how efficient strategies for flowing traffic can improve transport network efficiencies as a whole in Pune. The research will contribute both to an understanding of traffic dynamics within the city of Pune and to offering some framework for similar urban centers with congestion problems.