The article presents the results of studying the problem of the concrete scrap accumulation and disposal. It is noted that after the implementation of comprehensive programs, including the renovation and modernization of the housing stock, a significant amount of concrete scrap has already been accumulated, and its amount will only increase. The results of scientific research on the compositions development of composite binder and fine-grained dispersed reinforced concrete based on this binder are presented. The purpose of the research described in the article was to develop the elements of a methodology for selecting the dispersed reinforced composite material composition based on finely ground waste of concrete scrap, mineral binder, thin basalt fiber and superplasticizers. The goal was solved using the methodology of technological processes system analysis and, in particular, mathematical planning, processing the experimental results and applying the analytical optimization method. It is noted that fine grinding of mineral components and the use of fibers with a diameter of 0.1 … 6 microns allows not only to modify the concrete structure with an increase in strength characteristics, but also changes the chemical and physicochemical processes‘ nature on the contact surfaces of the mineral matrix and fiber, as well as the same binder and finely ground reactive mineral particles with the formation of microsystems qualified as nanostructures.