The report deals with projects risk management approaches and methods. The methods are based upon the main provisions of the following standards: International Competence Baseline, published by International Project Management Association – IPMA and National Competence Baseline published by Russian Project Management Association – SOVNET. It is known two types of risk management methods: qualitative and quantitative. Qualitative methods deal with procedures that reduce the risk of risk situations and the quantitative methods allow to produce quantitative estimates of the proposed activities using SOVNET system methodology.

This paper shows the project risk management methods, which allow to better identify risks in the construction of high-rise buildings and to manage them throughout the life cycle of the project. One of the project risk management processes is a quantitative analysis of risks. The quantitative analysis usually includes the assessment of the potential impact of project risks and their probabilities. This paper shows the most popular methods of risk probability assessment and tries to indicate the advantages of the robust approach over the traditional methods. Within the framework of the project risk management model a robust approach of P. Huber is applied and expanded for the tasks of regression analysis of project data. The suggested algorithms used to assess the parameters in statistical models allow to obtain reliable estimates. A review of the theoretical problems of the development of robust models built on the methodology of the minimax estimates was done and the algorithm for the situation of asymmetric “contamination” was developed.

Resource allocation problems in project management are notoriously complex. Therefore the development of efficient algorithms for solving various specific cases is a real problem. This paper shows a specific case of the problem, where a program has a particular structure. The resource allocation problem in such a program is reduced to classical Johnson’s problem or job-shop scheduling problem. Effective solution methods, by way of reducing to maximum flow problems, are suggested for some types of resources. For other cases, heuristic rules are developed, with a description of the situations in which these rules allow good enough solutions to be obtained.

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In this paper, to reduce risk of occurrence of an emergency environmental situation, quite a large number of economic mechanisms have been designed that are understood as complexes of interrelated evidence-based policies, procedures, and methodological solutions that provide optimal economic forms of regulation in the field of safety management and risk management at the federal, regional and facility levels.