Data analysis of public urban transport system to solve the problem of route duplication

Abstract

The article is devoted to the study of public transport traffic patterns in the urban environment in order to correct and optimize the transport network topology. To achieve this purpose, an interdisciplinary approach is used. The application of an interdisciplinary approach to the analysis of urban public transport routes allows to optimize their work and thereby improve the quality of the population life. The article presents a methodology for identifying duplication of public transport routes in the urban network system, based on the mathematical apparatus of graph theory, linear algebra and statistical analysis. To assess the degree of route duplication, a matrix of routes is compiled, vector routes are determined, paired duplication coefficients are calculated based on the projection of one route vector to another. The task of analyzing the data of the urban public transport traffic pattern in order to identify duplicate routes was solved for the system of the Izhevsk city in the Udmurt Republic, which includes 55 routes of urban transport. Based on the duplication coefficients values and the route duplication option, specific methods for solving the problem of planning the transport network topology are proposed. So, in order to overcome the problem of duplication of routes in the public transport system of the Izhevsk city, it is proposed to synchronize the timetable for more than 28 routes, and exclude 6 public transport routes as a result of their merging into 3 routes. The described technique for identifying duplicate routes can be applied to public transport systems in various cities of the Russian Federation.