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Title

Reliability Analysis of BinaryImaged Generalized MultiState koutofn Systems

Author

Ali Muhammad Rushdi, Shakir Ahmed AlHuthali, Nawaf Ali AlZahrani, AbdulGhani Bakur Alsayegh

Citation 
Vol. 20 No. 9 pp. 251264

Abstract

A celebrated reliability model is the binary kout ofn system, which is a dichotomous system that is successful if and only if at least k out of its n components are successful. In contrast to general reliability systems whose handling entails exponential complexity, this system possesses an elegant quadratictime algorithm for evaluating its reliability. The aim of this paper is to extend the utility of this algorithm to the reliability analysis of a homogeneous binaryimaged multistate coherent generalized koutofn system, which is still described as a nonrepairable system with independent nonidentical components. The paper characterizes such a system via switchingalgebraic expressions of either system success or system failure at each nonzero level, or equivalently, via, minimal upper vectors or maximal lower vectors. We also adapt the aforementioned quadratictime algorithm to compute the reliability and unreliability at each nonzero system level. We point to the inconvenience of using fixedpoint reliability values for systems with good components, and recommend using floatingpoint unreliability values in this case.

Keywords

System reliability, Multistate system, koutofn system, Minimal upper vector, Maximal lower vector. Quadratictime algorithm..

URL

http://paper.ijcsns.org/07_book/202009/20200930.pdf

