Abstract
In the article describes the research of geometric modeling of the optimal trajectory of pipelines of an external water supply network. A model for the distribution of the values of unit cost of land plots was constructed. It based on a preliminary analysis of the building area in terms of economic value of land plots. Modeling of the optimized geometric shape of the discrete image of the network of pipelines of the water supply system is performed with using the principles of the static-geometric method of discrete geometry. The coefficients characterizing the force of interaction between the nodes of the pipeline link (section of the pipeline) are taken equal to the value of the unit cost of pipelines to the length of the links of a water supply system. The functional dependencies of the optimal placement of pipeline nodes are determined on basis of the proposed radial-basic distribution function of unit cost of land plots. The position of the branching nodes of the pipeline water system is determined by solving a system of nonlinear equations.The approach considered in the article demonstrated good convergence of the iterative calculation. Also, an analysis according to the obtained calculation results was carried out on the indicators of material savings and labor costs, which are the result of a reduction in the total length of the links of the simulated pipeline system. A sufficiently high economic effect was demonstrated with minor adjustments to the original system. In turn, a practical solution to the problem posed in this article will significantly reduce the further construction and operational costs of the water supply network even at the stage of design work.
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