Mathematical models for assessment of activity of industrial enterprises under the conditions of instability

The management of an industrial enterprise is complicated by the high degree of instability in the world political and financial and economic system at present. In particular, the United States of America and its allies provoke interethnic and religious contradictions in various regions of the world. This entails the unleashing of local wars and other military-political conflicts. Thanks to this, the United States has the opportunity to influence the international situation, which allows them to worsen the situation of their main competitors (Russia, China, India, Iran, etc.) in military, technological, economic and social development. Therefore, the development of new methods and approaches to the formation of strategic solutions that allow for effective management in industry is required. In this paper, we propose two mathematical models of decision-making for the strategic management of an industrial enterprise, which take into account the conditions of instability. The first model is a mathematical model of an integrated assessment of the activity of an industrial enterprise, based on an integrated indicator, and can be considered as a procedure for conducting expert modeling. The second model describes the digital technology of the enterprise effectiveness increasing. Both models can be used in making strategic decisions on the management of an industrial enterprise.