Introduction. The paper substantiates the relevance of reducing costs for regular passenger traffic and increasing their reliability in relation to cities with city-forming enterprises. The organizational and technological specificity of the regular route network of urban transport in such cities is disclosed. The authors propose a method for organizing regular transportation routes based on a rational combination of basic routes that require boarding and disembarking passengers only at stopping points and backup routes with boarding and disembarking passengers in any place not prohibited by the rules of road traffic. The authors demonstrate route network optimization of the regular passenger transportation using the proposed economic and mathematical model and taking into account the costs of forming the infrastructure for organizing traffic on backup routes, operating costs of transportation, as well as the cost of eliminating failures in urban transport. The developed mathematical model for assessing the reliability of regular passenger transportation differs from the well-known models, which take into account the availability of backup routes in the regular route network. The research proves the practical implementation of the proposed recommendations by the example of public transport routes in Magnitogorsk.Materials and methods. The authors used the analysis of scientific and regulatory literature; economic and mathematical modeling of transport processes; methods for calculating the reliability of technical and transport systems; the statistical, technical and economic system analysis.Results. As a result, the authors revealed the optimization of the economic and mathematical model of the regular passenger transportation in cities with city-forming enterprises and a mathematical model for assessing the reliability of regular passenger transportation. Moreover, the paper presented practical recommendations on the organization of reserve routes for regular passenger transport on the example of Magnitogorsk.Discussion and conclusions. By the implementation of theoretical principles, mathematical models and recommendations developed in the course of the research, the authors show the effect of implementation and the possibility to obtain new scientific results. Moreover, the authors demonstrate the formation of an additional volume of traffic by 178 thousand passengers a year, an increase in the speed of communication by 7 km per hour, a decrease in the cost of transporting one passenger by 7% and an increase in reliability by 1.14.Financial transparency: the authors have no financial interest in the presented materials or methods. There is no conflict of interest.
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