ОПТИМІЗАЦІЯ СТРУКТУРНИХ ЕЛЕМЕНТІВ ОПЕРАТИВНО КЕРОВАНИХ ІЄРАРХІЧНО ОРГАНІЗОВАНИХ ІНЖЕНЕРНИХ МЕРЕЖНИХ СИСТЕМ

Based on special sociological research, it has been established that achieving a high level of engineering support for residential buildings, as well as household enterprises and institutions, contributes to improving the sanitary and hygienic level, has an exclusively positive effect on the health of the population and on labor productivity, thereby contributing to the solution of important national economic tasks. An important aspect of this problem is the improvement of the functioning of modern urban water and gas supply systems to ensure the necessary modes of water and gas consumption by household objects, as well as objects of socio-cultural purpose. The need to further improve agricultural production and improve the living conditions of the rural population puts forward increased requirements for the implementation of the processes of functioning of irrigation systems, as well as agricultural water supply systems. This is due to the need to ensure the necessary irrigation modes on irrigated fields, as well as the necessary modes of water consumption by agricultural objects and household objects. According to [1 – 4], water and gas supply systems, as well as irrigation and ventilation systems, can be classified as hierarchically structured engineering network systems (ENS). Analysis of existing and designed ENS shows that such systems can be represented as a set of interconnected and interacting local networks (LN) of different hierarchical levels that function. In particular, at the highest level of the hierarchy, the ENS includes trunk networks (TN), which unite the distribution networks (DN) connected to them, belonging to lower levels. The main characteristics and specific properties of LNs of different levels, as components of operationally managed hierarchical engineering network systems, have been analyzed in detail in the works [1 – 4]. Based on the problem posed, the article is aimed at studying mathematical models and computer implementations to solve the following key tasks of optimizing the structural components of ENS: optimal laying of main channels (MC) that form TNs as part of operationally controlled irrigation systems as a type of ENS; optimization of the topological structure of individual operationally controlled LNs.