Multicriteria Optimization of Design Solutions for Microclimate Systems for Rooms with Artificial Ice

Abstract

Рurpose of research. The most energy-intensive facilities for holding sports and cultural events are indoor ice rinks and ice arenas. Simplified technical solutions when designing the systems for providing the microclimate of these structures lead to significant operating costs and can lead to serious negative consequences in a relatively short period. In this regard, the problem of developing methods for choosing the optimal design solution for these systems is becoming ever more urgent. The purpose of the article is to develop a mathematical model for multi-criteria optimization of design solutions for systems providing the microclimate of rooms with artificial ice.Methods. Determining the optimal design solution for microclimate systems in terms of several parameters, each of which can be decisive, is an applied task of system analysis, the basic principles and patterns of which were taken into account when solving the problem of multicriteria optimization.Results. A list of particular optimality criteria reflecting the qualitative and quantitative characteristics of design solutions has been determined. The method of vector criterion convolution has been used to search for the optimal solution for the selected particular criteria. An optimization model based on the principles of system analysis has been developed.Conclusion. The developed mathematical model of multicriteria optimization makes it possible to provide priority to more important particular criteria by increasing their weights. In this case, it should be remembered that particular criteria must be commensurate, and, therefore, reduced to a dimensionless form. Since the absolute values of the criteria are essential in the optimization task under consideration, for the chosen vector of parameters, it is necessary to choose exactly the additive method of folding the generalized criterion.