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CHOOSING A MATHEMATICAL MODEL OF HEAT SUPPLY NETWORK ROUTEKeywords: heat networks , routing , dynamic programming , optimal topology , optimal routes of heat networks Abstract: Problem statement. Modern computational technologies allow to develop mathematical modelsfor choosing optimal topology and construction routes of heat supply networks taking into accounta large amount of influencing factors. Important pivots when developing a mathematical model arethe choice of source data representation, of the model of choosing the optimal topology and routeand the computational algorithms for model implementation at computing facilities. The difficultyof choosing a computational method, aside from the nature of topological models, is complicatedby a large amount of limiting factors. This is the reason why the choice of forms of representationof mathematical models and the efficiency of computational methods of their solution is actualwhen used in practical applications.Results. A mathematical model of the cost of construction of heat supply networks has been developedwhich, as opposed to traditional models, leaves the necessary degrees of freedom for determiningacceptable and optimal topology and construction route for account of using multicriterionoptimization. A method of weighted summation has been proposed for usage for combiningraster maps corresponding to different routing criteria.Conclusions. The considered method allows to take account of the whole system of factors influencingthe construction route of heat supply network and to conduct route optimization basedon several criteria, which allows to choose the optimal topology and construction route under theinfluence of multiple external and internal factors.
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