Mathematical modeling in economics of efficiency of investment portfolios by the cluster analysis method for small chemical projects in the innovation infrastructure of the republic of tatarstan

The most important component of the innovation policy in the Republic of Tatarstan is building and further development of an effective innovation infrastructure. It is necessary for ensuring the transfer of innovative inventions in production and reinforcement of its place in the market. The Republic of Tatarstan has the most highly developed and the most competitive petrochemical cluster compared to other sectors of the economy at both the federal and international levels. It includes not only high-performance science-intensive inventions in the extraction and processing of oil, but also chemistry of high-molecular compounds, plastics and synthetic rubbers. Small innovative projects in the field of polymers due to good scientific elaboration, high production flexibility, availability of raw materials in their own region and large demand for the product, and relatively low capital investments unlike large-scale oil production, can significantly improve the economic efficiency of the entire petrochemical cluster of the Republic of Tatarstan. Over the past decade, the amount of domestic expenditures on research in the region has increased by more than 10 times, amounting to 68.2 billion rubles in 2016. In terms of total costs for technological, marketing and organizational innovations, Tatarstan ranks third among the regions of Russia. The first and second places are occupied by Samara (94.1 billion rubles) and Nizhny Novgorod (89 billion rubles) regions, respectively