Reliability analysis of sparsely connected consecutive-k systems: GERT approach

During the last quarter century, a mass of research has been investigated on consecutive-k-out-of-n:F systems, and its various generalizations, addressing problems of reliability computation. Besides, several new reliability models by combining the k-out-of- n model with other consecutive-k-out-of-n models have also been proposed. When the number of working components between the two failures is at maximum d, then the two failed components are called consecutive failures with sparse d, Zhao et al. [8]. In this paper, Graphical Evaluation and Review Technique (GERT) has been applied to study consecutive-k-out-of-n-out-of-:F systems with sparse d, m-consecutive-k-out-of-n:F systems with sparse d, and (n, f, k):F systems with sparse d.