Optimization of the Public Transport System Using Data Analysis Methods

The system of public transport movement in the urban environment has been investigated using modern methods of data analysis. This approach allows to optimize the work of public transport and thereby improve the quality of population life. When this problem is decided, for the first time, such an interdisciplinary approach is used, which combines elements of linear algebra, graph theory and methods of statistical information processing. Possible problem solutions of planning the topology in public transport system are proposed to overcome the problem of the presence of duplicating routes, depending on their duplication coefficients. The practical task of data analysis of the public transport traffic pattern in order to identify duplicate routes was solved for the system of the city of Izhevsk (Udmurt Republic). The studied transport system includes 323 stopping points and 55 routes of urban public transport. The information presented on the site of the interactive geoinformation system (IGIS) was used in the numerical calculations. The routes duplication coefficients were calculated by the methods of correlation analysis, and their significance was assessed by the Student's criterion. Based on the coefficients and duplicating routes variants, specific methods for solving the problem of planning the topology of a transport network are proposed. Calculations are shown that in order to overcome the problem of duplication of routes in the public transport system of Izhevsk, more than 28 routes should be synchronized, and 6 public transport routes should be replaced by 3 routes as a result of their partial merging.