The article examines a mathematical model developed by the authors for the integrated protection of the population under various radiation scenarios in the event of an accident at a nuclear power plant. The model is implemented as a software package that allows evaluating the effectiveness of protective measures.

Using calculations based on the model, optimal sets of protective measures are justified — these are tailored to the current radiation situation and the specific conditions of the population’s location within the radioactive contamination zone. The measures aim to minimize the risk of excessive radiation exposure to people.

A distinctive feature of the proposed mathematical model is that it takes into account the dynamics of radioactive contamination processes during an accident, as well as the implementation of protective measures. The dynamics of both radioactive contamination formation and protective measures are considered in terms of both time and territory.

This model can serve as the foundation for intelligent systems that reduce risks to the population by optimizing protection — both during the planning stage of protective measures and in the event of an accident.

The article employs analytical and informational research methods.

In conclusion, recommendations are provided for expanding the scope of application of the developed mathematical model. The goal is to refine the model to address the challenges of operational management of population protection during an accident.

It is recommended to continue research within the framework of scientific and research work.

A risk-based approach to managing transport and logistics risks at enterprises is proposed. The main aspects and mechanisms of risk management in the logistics of nuclear engineering are considered, and some existing approaches are analyzed. Practical methods and tools of risk management in the logistics activities of organizations in the machine-building sector are proposed and systematized. The main focus is on risk classification algorithms, risk and factor assessment, as well as industry-specific management methods and practical applications.

This article provides a review of regulatory requirements in Russia and foreign countries concerning the application of accident risk analysis methods at the design stage of industrial facilities. Despite the framework nature of the legislation, which does not prescribe specific methodologies, a key systemic difference has been identified: the foreign approach integrates risk analysis at all stages of the industrial facility's life cycle, whereas the Russian approach places particular emphasis on the design stage. Despite the freedom to choose tools, the «Hazard and Operability Study» method proves to be the most effective solution for accident risk analysis at the design stage, a fact confirmed by both global best practices and domestic regulatory documents.

The article material is devoted to the evaluation of the intensity of vaporization of liquefied gas from the strait. The possibility of using the main regulatory document in the field of industrial safety of potentially dangerous facilities for liquefied gases has been analyzed. Shortcomings identified and the need to develop a methodology for assessing the intensity of vaporization of liquefied gas from the strait of emergency discharge.

A methodological approach is presented that allows obtaining analytical dependencies of technical and economic assessment indicators on tactical and technical characteristics of emergency rescue equipment. The results of its application will be the basis for forecasting the parameters of development of the system of technical equipment of emergency rescue forces, substantiation of rational measures for creation and improvement of promising emergency response equipment models.

The purpose of this study was to develop a universal methodology suitable for assessing the risks of the financial condition of electric grid enterprises, capable of taking into account the specific features of their activities and market conditions. To achieve this goal, the industry was characterized, a comparative analysis of existing rating methods for assessing financial risks was carried out, and they were tested using the example of PJSC ROSSETI. The main methods of scientific work were applied: the index method, comparative and statistical types of analysis. The study found that the existing approaches to risk analysis are not trustworthy in assessing the financial condition of electric grid enterprises, in particular, they ignore the specific structure of the balance sheet and a small proportion of highly liquid assets. The author propose a methodology for assessing the risk of financial condition for enterprises in the electric grid complex.