Author(s)

Victor Kravets¹, Vladimir Kravets², Olexiy Burov³

¹Department of Automobiles and Transportation Facilities Automobile Sector, National Mining University, Dnipropetrovsk, Ukraine.
²Department of Labor Security, Dnipropetrovsk National University of Railway Transport Named after Academician V. Lazaryan, Dnipropetrovsk, Ukraine.
³Baskin School of Engineering, University of California-Santa Cruz, Santa Cruz, USA.

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.

Structural Reliability, Matrices of Significance, Matrix of States, Chain Diagram

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.