OJAppS  Vol.5 No.11 , November 2015
Matrix Method for Determining Structural Reliability of the System and Significance of Its Elements in Terms of Reliability
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.

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
[1]   Hubka, V. and Eder, W.E. (1988) Theory of Technical Systems: A Total Concept Theory for Engineering Design. Springer-Verlag, New York. http://dx.doi.org/10.1007/978-3-642-52121-8

[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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