Abstract
The m-consecutive-k-out-of-n: F linear and circular system consists of n sequentially connected components; the components are ordered on a line or a circle; it fails if there are at least m non-overlapping runs of consecutive-k failed components. This paper proposes the reliability and failure probability functions for both linearly and circularly m-consecutive-k-out-of-n: F systems. More precisely, the failure states of the system components are separated into two collections (the working and the failure collections); where each one is defined as a collection of finite mutual disjoint classes of the system states. Illustrative example is provided.
Keywords
Consecutive-k-out-of-n: F system, Failure probability Function, Reliability Function, equivalence relations
Article Type
Article
How to Cite this Article
Nashwan, Imad I. H.
(2021)
"Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular Systems,"
Baghdad Science Journal: Vol. 18:
Iss.
2, Article 19.
DOI: https://doi.org/10.21123/bsj.2021.18.2.0430
