Mathematical methods of substantiating and logical modelling of a resource-saving environmentally safe critical infrastructure system

Abstract
In this work, a theoretical basis for a comprehensive assessment of the environmental hazard of wastes, which are formed during the functioning of critical infrastructure in residential territories, is de-veloped. In addition, a resource-saving (resource-recovering) system is proposed for ensuring the protection of natural environment and vitally important human interests from the anthropogenic impact of wastes, thus creating favourable conditions for the vital activity of a population. The study was con-ducted using mathematical methods, such as mathematical logic and vector algebra, for assessing the system of an ecologically safe critical infrastructure of populated areas. It is argued that the formation of a resource-saving system, which does not include wastes as its constituent element, provides the integrity of a closed material-raw cycle. Moreover, such a system reduces the formation of waste mate-rial masses (sources of environmental hazard) as a quantitative result of the system to zero. It is shown that environmental hazards in residential areas can be prevented in those places, where a system of processing construction and other products at the last life cycle stage as secondary resources is im-plemented and no hazardous wastes are forwarded for disposal in the natural environment. The ob-tained results can be used when assessing the environmental safety of concepts, strategies, pro-grammes and projects at federal, regional and sectoral levels in the field of resource saving, waste and secondary resources management, as well as for ensuring the environmental safety of residential are-as.