«Automation and Informatization of the fuel and energy complex»

Optimization model of structural reliability in case of financial constraints

UDC: 519.718.2
DOI: 10.33285/2782-604X-2023-8(601)-31-38

Authors:

¹ National University of Oil and Gas "Gubkin University", Moscow, Russia

Keywords: reliability, structural reliability, reliability block diagram, logical-probabilistic method, principal disjunctive normal form (PDNF), graph theory, adjacency matrix, Weibull – Gnedenko distribution, redundancy, genetic algorithm, maintenance and repair, safety

Annotation:

A constant increase in the demand of reliability as a science due to the constant complication of the technical systems structures, elements number increase and connections has been observed in recent decades. Due to the financial constraints there occurs a problem of selecting the best elements configuration of a technical system with a specified reliability and safety levels. The aim of the study. The development of the model for optimizing the technical system structural reliability with specified financial restrictions. The methods. Graph theory methods are used to describe and verify the operational ability of reliability block diagrams. The methods of mathematical logics, in particular, principal disjunctive normal form (PDNF), allows calculating the block diagram reliability of a specific configuration. To describe the elements operation, the methods of mathematical statistics and redundancy methods of the reliability theory are used. To solve the optimization problem of block diagram reserve elements number selection, a genetic algorithm was chosen. Results. The structural reliability optimization model with financial constraints has been described. A special case of choosing the system structural reliability diagram configuration under the established financial constraints is considered. A description of a general multi-criteria optimization problem for the choice of maintenance and repair strategies based on reliability block diagrams is given. The further development of the model is presented. Practical significance. The model allows calculating reliability under the constraints for real technical objects in the oil and gas industry. Practical implementation on a PC can be developed in the form of a stand-alone application or be integrated into software systems for the reliability research.

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