Strict consecutive-k-out-of-n:F system: GERT analysis

This paper provides reliability analysis of linear strict consecutive-k-out-of-n:F system, introduced and studied by Bollinger in 1985, using Graphical Evaluation and Review Technique (GERT). The components are assumed to be i.i.d. One of the strengths of the GERT network is the graphical representation, which is intuitive and easy to understand. By means of Mason’s rule a simple formula for failure probability is obtained. Mathematica Software is used for systematic computations for different sets of values of n, k and p. Numerical examples illustrate the time efficiency of GERT Analysis.