Abstract
AbstractIn this paper, the problem of risk management in trunk gas and oil transportation systems (MGNTS) with limited resources for the elimination of accidents is formulated in the form of a fuzzy decision-making model with a nonlinear income function and linear fuzzy constraints. The problem is also formulated in the form of a semi-Markov decision-making model for a controlled Markov process in continuous time with a nonlinear objective function of income and linear inequalities-constraints with coefficients expressing the costs of each type of funds for a certain type of accidents and given in the form of random fuzzy variables. With the help of a feasibility approach to the problem of fuzzy optimization and level maximization under line-by-line constraints according to the expected possibility, the formulated problem is reduced to an equivalent deterministic nonlinear programming problem with Boolean variables. An algorithm for solving the problem is proposed. On the basis of optimization methods, the solution of the problem is reduced to a deterministic nonlinear Boolean programming problem. Based on the methods of possible optimization, the solution of the problem is reduced to a deterministic nonlinear Boolean programming problem.KeywordsSemi-Markov decision-making processRenewal theoryPseudo-Boolean programming methods
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