Abstract
Matrix method is being proposed for qualitative evaluation of the reliability of technical systems on a finite set of structural elements. We are introducing the criteria for qualitative assessment of the reliability in the form of structural reliability of the system as the probability of the troubleproof state of this system and the significancy of the individual elements in ensuring the structural reliability of the system as a general aggregate of conditional probabilities, which compose two (2 × 2) matrices of significancy for each element. We are using chain diagrams for solving the combinatronic problems and matrices for algorithmization of calculating procedures.
Highlights
The reliability of the technical system is one of the main indicators of quality and is taken into consideration in the early stages of design, which addresses different functional, assembling and construction schemes [1]
The ability to assess the structural reliability of the individual blocks and the technical system as a whole, as well as to assess the significance of the individual blocks in ensuring the reliability of the system is the relevant problem in conceptual design, which can be solved using mathematical methods, including combinatorial, probability theory, Boolean algebra, matrix calculations [3]
It is assumed that the structure of a technical system is given as a finite set of elements and their relationships
Summary
The reliability of the technical system is one of the main indicators of quality and is taken into consideration in the early stages of design, which addresses different functional, assembling and construction schemes [1]. (2015) Matrix Method for Determining Structural Reliability of the System and Significance of Its Elements in Terms of Reliability. The ability to assess the structural reliability of the individual blocks and the technical system as a whole, as well as to assess the significance of the individual blocks in ensuring the reliability of the system is the relevant problem in conceptual design, which can be solved using mathematical methods, including combinatorial, probability theory, Boolean algebra, matrix calculations [3]. The method is adapted to use modern computer technologies to solve complex combinatorial problems in assessing the reliability of technical systems on an arbitrary, finite set of structural elements [4] [5]
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