Introduction: This research uses mathematical tools of reliability theory in an industrial enterprise's economic security system. The authors argue that a highly effective risk management system is essential for ensuring the necessary level of economic security for any business entity. The study aims to substantiate the necessity and expediency of using the characteristics and indicators of reliability theory in an industrial enterprise's economic security system. Theoretical framework: The study is based on the theoretical framework of reliability theory, which provides mathematical tools for analyzing and managing risks. The authors discuss the most critical indicators of reliability theory, including the value of reliability, the failure rate of risk events, the time to failure, the time-to-failure density, and reliability. Methodology: The study employs a qualitative research methodology, which involves a comprehensive review of the literature on the use of reliability theory in an industrial enterprise's economic security system. The authors analyze the literature to identify the key components of an industrial enterprise's highly effective risk management system. Results and Discussion: The study finds that using mathematical tools of reliability theory can significantly enhance the effectiveness of risk management systems in ensuring economic security for industrial enterprises. The authors identify several key components of a highly effective risk management system, including systematic monitoring of the competitive environment, continuous assessment of the place of the enterprise in the market and its respective segments, and the use of reliability theory to analyze and manage risks. Conclusion: The study concludes that using mathematical tools of reliability theory can provide valuable insights for developing effective risk management systems in an industrial enterprise's economic security system. The authors recommend that industrial enterprises adopt a proactive approach to risk management, which involves continuous monitoring and analysis of risks, and use reliability theory to manage risks effectively.
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