The article provides a multivariate approach to the selection of options for the outline of a network polygon in a poorly developed area. When developing deposits of natural resources, it is necessary to qualitatively carry out a comprehensive assessment of the sustainability of the development of the relevant region and develop strategies for its development. An underdeveloped area can be classified as a problem region, which includes underdeveloped or depressed areas. By underdeveloped areas (regions), the authors understand the territories of a large area inhabited by a small population, poorly developed or completely absent railway network of communication routes on the one hand, and on the other, there are rich reserves of deposits of natural resources that cannot be fully exploited. To assess the prospective development of the railway network in such areas, taking into account its socio-economic development, it is proposed to use a multi-criteria approach. The main provisions of the methodology for the formation of options for creating a railway network using graph theory and their consistent multi-criteria evaluation are presented. A specific calculation example is given, showing the efficiency of the proposed methodology
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