Abstract

Abstract The article isdedicated to the urban transport management system. The game theory is used as mathematical model. Classification of the management system is based on the number of participants (passengers, transport operators, municipal authorities). Respectively, definitions of municipal monopoly, mixed market, free market and monopoly are given. Target functions and strategies of the parties of the transport system have been defined: financial costs and time spent in transit (strategy ofchoice of route and mode of travel) for passengers, profit (strategy of frequency) for transport operators, time loss of passengers and transport costs (strategy of frequency of municipal transport traffic) for the city authorities. The model of the route network of railway lines and bus routes has been presented. An example of a city model consists of 9 districts (3 by 3). Municipal transport (metro or tram in our model) has short routes linking the main districts (network consists of 6 routes: 3 horizontal and 3 vertical ones). The bus route network consists of 12 routes: 6 routes connecting the North-East district with the South-West district, and 6 routes connecting the North-West district with the South-East district. Target functions of the participants have been obtained for the model. Numerical example shows how the market structure affects characteristics of the transport system. Directions of development of the presented models have been defined.

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