101. SIGNATURE AND RELIABILITY OF CONDITIONAL THREE-DIMENSIONAL CONSECUTIVE-(s, s, s)-OUT-OF-(s, s, m):F SYSTEM
- Author
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Madhuri Kulkarni and Akanksha S. Kashikar
- Subjects
Cuboid ,General Computer Science ,Energy Engineering and Power Technology ,Aerospace Engineering ,Type (model theory) ,Upper and lower bounds ,Industrial and Manufacturing Engineering ,Combinatorics ,Moment (mathematics) ,Nuclear Energy and Engineering ,Dimension (vector space) ,System failure ,Electrical and Electronic Engineering ,Safety, Risk, Reliability and Quality ,Signature (topology) ,Algorithm ,Reliability (statistics) ,Mathematics - Abstract
A three-dimensional consecutive (r1, r2, r3)-out-of-(m1, m2, m3):F system was introduced by Akiba et al. [J. Qual. Mainten. Eng.11(3) (2005) 254–266]. They computed upper and lower bounds on the reliability of this system. Habib et al. [Appl. Math. Model.34 (2010) 531–538] introduced a conditional type of two-dimensional consecutive-(r, s)-out-of-(m, n):F system, where the number of failed components in the system at the moment of system failure cannot be more than 2rs. We extend this concept to three dimension and introduce a conditional three-dimensional consecutive (s, s, s)-out-of-(s, s, m):F system. It is an arrangement of ms2 components like a cuboid and it fails if it contains either a cube of failed components of size (s, s, s) or 2s3 failed components. We derive an expression for the signature of this system and also obtain reliability of this system using system signature.
- Published
- 2014