Abstract
The article considers approaches to economic security management based on two-level optimization problems. Two-level optimization allows you to take into account the complex hierarchical structure of decision-making in large organizations, where strategic decisions of the upper level affect tactical and operational decisions of the lower level. This approach ensures consistency and efficiency of management processes, contributing to the achievement of economic stability and security of the enterprise. The article analyzes modern methods and models used to optimize management decisions in order to increase economic security. Mathematical models of two-level optimization that allow solving the problems of optimal allocation of resources, risk management, cost minimization and profit maximization are considered. Special attention is paid to the algorithms for solving such problems, in particular to the methods of sequential iteration and decomposition. The authors study the practical aspects of the application of two-level optimization problems in the management of enterprises of various industries. Examples of successful use of such approaches in real conditions are given, demonstrating their effectiveness in ensuring economic security. The analysis shows that enterprises that implement two-level optimization are able to respond more flexibly to changes in the external environment, use resources more efficiently, and reduce risks associated with financial instability, competition, and other threats. Thus, two-level optimization problems are a powerful tool for increasing the economic security of an enterprise. They enable the integration of strategic and tactical aspects of management, ensuring the integrity and consistency of decisions at all levels of the organization. The article makes a significant contribution to the development of the theoretical and practical foundations of ensuring the economic security of enterprises, offering new approaches and solutions that can be used in modern business conditions. Developed issues of ensuring the economic security of the enterprise in conditions of market turbulence.
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