Abstract

Restoration and design of efficiently functioning production and technological chains of complex structure, consisting of a set of firms with vertical and horizontal interconnections, is an important task of the modern economy in Russia. The implementation of the ‘new industrialization’ program is possible on the basis of large integrated structures capable of implementing innovations and modernization of production. The dynamics of business processes caused by crisis trends leads to the need to find the most effective forms of interaction between participants within hierarchical structures, allowing them to increase their competitiveness in the markets. In this regard, the methodology of analyzing such production systems for making optimal management decisions needs further improvement. Classical micro and macroeconomic models are not fully capable of describing real business processes in industry markets in conditions of increasing concentration. A comprehensive approach to the study of modern large firms and supply chains is needed. The synthesis of the theory of industrial organization and neoclassical economic theory is used as a methodological basis in the work. A system with horizontal and vertical interaction of firms operating in the market is economically interested in achieving higher performance results and, above all, through more efficient use of resources. The relevance of this problem requires modeling the parameters of companies’ activities under various behavioral strategies. In the article, an approach based on matrix modeling is proposed to describe the functioning of such systems, in which the main tool is a technological matrix developed taking into account the requirements for an input-output matrix. It is shown that the use of the methodology makes it possible to adequately describe the interaction of firms, display material flows, determine important indicators of the system and firms (final and gross products, volumes of resources, costs) and analyze at a qualitative level. An economic and mathematical model is proposed, which is used both to calculate the economic characteristics of the system and firms, and to design the structure of the technological chain.

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