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

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

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Article ID: iaor20084357
Country: India
Volume: 44
Issue: 4
Start Page Number: 337
End Page Number: 345
Publication Date: Dec 2007
Journal: OPSEARCH
Authors: ,
Abstract:

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.

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