MATHEMATICAL AND ALGORITHMIC TOOLS FOR AN INTELLECTUALIZED SOFTWARE SYSTEM FOR PROACTIVE CITY ECOSYSTEM MANAGEMENT

Abstract

The article discusses the mathematical and algorithmic tools for an intellectualized system designed for scenario analysis within the framework of proactive city ecosystem management. The problem of optimizing the placement of technogenic load sources (specifically, boiler houses and cogeneration units) in dense urban environments is formalized as an NP-hard discrete combinatorial optimization problem. A distinguishing feature of the approach is the utilization of the AERMOD regulatory atmospheric dispersion model as a "black box" for calculating the objective function, which is modified using the penalty function method to ensure compliance with sanitary standards. Metaheuristic algorithms (Genetic Algorithm, Discrete Particle Swarm Optimization, Discrete Artificial Bee Colony) have been adapted for solution searching through the development of unified discrete operators. A method for the intellectualized selection of an optimization strategy is proposed, which automatically selects the most efficient algorithm (ranging from exhaustive search to D-ABC) based on complexity and scale thresholds. Practical validation of the method was conducted using the example of heat generation facility placement in the city of Ternopil. The developed system facilitates the transformation of complex physical models into a practical engineering tool, ensuring a balance between forecast accuracy and computation time for operational and strategic planning of city infrastructure development and recovery.