Abstract
The problem of managing technical and technological risks in main gas and oil pipeline systems, subject to the possibility of limited funds allocated for the prevention and elimination of the consequences of accidents, is considered in the form of a semi-Markov decision-making model for a controlled Markov process in continuous time with the criterion of the maximum average discounted income. To find the optimal nonrandomized Markov stationary strategy, a procedure is proposed based on reducing the formulated fuzzy problem to an equivalent Boolean programming problem with deterministic constraints. To solve the resulting system of inequality constraints, an algorithm has been developed for finding basic solutions for an arbitrary number of accidents and measures to eliminate them. The numerical implementation of the proposed approach is implemented for the real problem of risk management in the main gas pipeline with unclear cost constraints. Keywords: semi-Markov decision-making process, Markov stationary strategy, feasibility optimization, basic solutions to inequalities.
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