Mathematical formulation and the problem solution of clustering recipes of concrete mixtures using technogenic waste and slags of metallurgical enterprises

Abstract

The relevance of the use of man-made waste and slags of metallurgical enterprises as a replacement for traditional fillers in concrete mixes has good potential due to producing high strength characteristics and reducing the cost of manufactured building products. The aim of the research is a mathematical formulation of the problem solution of clustering concrete mix recipes using man-made waste and slags of metallurgical enterprises, the criteria are the composition and strength of concrete mix recipes made experimentally. The statistical methods usage of analysis made it possible to determine the measures of the proximity of clusters, to produce clusters with optimal formulations of concrete mixtures.

Keywords

• metallurgical slag
• waste
• mathematical formulation
• clustering
• formula