Comprehensive Mathematical Model for Planning The Placement of Industrial Facilities

The coupled problem of optimal placement of industrial facilities, taking into account global and local sanitary standards for pollution in regions and specific zones, is examined. The pollutant dispersion model incorporates soil erosion processes, physical and mechanical characteristics of emissions, and the region's weather and climatic conditions. An approach for integrating the coupled problem is proposed, which significantly reduces computational resource requirements and the number of calculation operations. A high-precision conservative numerical algorithm has been developed for integrating the problem with respect to time and spatial variables.