The presented article offers the review of means, methods and possibilities of one of the most welcomed modern information technologies – Big Data. The popularity of the technology is grounded in the work. The sources of the big data, the speed of their appearance, amounts of information in the world are examined. The main specializations of the employees for the operation in the field of the structuralized and non-structuralized data of big amounts and the significant variety are marked. The scientific and practical directions and the structure of Big Data are analyzed. The examples of the Big Data use’s technology in the world are examined. The research results of the big data, received from the Ukrainian sites, are presented in the article. The possibilities of the programming language R, as one of the leading instrumental means of the Big Data technology, were used in the work. The research aim was to define the attendance frequency’s dependence of different sites by the young people, aged from 17 to 35 years old, upon their sex, provision of job, incomes and age. The authors present the obtained results and offer directions of the activity, where they may be used.

The aim of the research leads to study optimization methods, modern software solutions for decision making with MatLab package and the GNU Octave package, and Microsoft Excel and LibreOffice Calc spreadsheets, as well as the formation of economic model and application of solution methods and optimization package to this model.