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In the article the basic indicators defining the choice of this or that scheme of the organization of the closed hot water supply of the cities (further – HWS) using open schemes of HWS are considered. Block diagrams of boundary conditions and independent variables are presented. A pyramid of conditions affecting the level of capital and annual costs for the maintenance of heat supply systems for the useful life (25 years) of the equipment is proposed. The main provisions of the method and the program of choosing the most appropriate scheme of transition to the closed circuit of preparation of hot water with the calculation of weight coefficients are formulated.