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Matrix Method for Determining Structural Reliability of the System and Significance of Its Elements in Terms of Reliability

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DOI: 10.4236/ojapps.2015.511066    1,741 Downloads   2,063 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Kravets, V. , Kravets, V. and Burov, O. (2015) Matrix Method for Determining Structural Reliability of the System and Significance of Its Elements in Terms of Reliability. Open Journal of Applied Sciences, 5, 669-677. doi: 10.4236/ojapps.2015.511066.

References

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[2] Вентцель, Е.С. and Овчаров, Л.А. (1991) Теория случайных процессов и ее инженерные приложения. Наука, Москва.
[3] Kravets, V.V. and Kravets, Vl.V. (2015) Reliability of the Systems. Part 1. Statics of the Failure. Lap Lambert Academic Publishing, Omni Scriptum GmbH & Co. KG.
[4] Kravets, V.V., Bass, K.M. and Kravets, Vl.V. (2013) Structural Reliability of the Electrical Unit Hybrid Vehicle. System Technologies, 2, 161-166.
[5] Kravets, V.V., Bass, K.M., Kravets, Vl.V. and Tokar, L.A. (2014) Analytical Solution of Kolmogorov Equations for Four-Condition Homogenous Symmetric and Ergodic System. Open Journal of Applied Sciences, 4, 497-500. http://dx.doi.org/10.4236/ojapps.2014.410048

  
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