To search, Click below search items. |
| All Published Papers Search Service |
|
|
|
Title |
Reliability Analysis of Binary-Imaged Generalized Multi-State k-out-of-n Systems |
|
Author |
Ali Muhammad Rushdi, Shakir Ahmed AlHuthali, Nawaf Ali AlZahrani, AbdulGhani Bakur Alsayegh |
| Citation |
Vol. 20 No. 9 pp. 251-262 |
|
Abstract |
A celebrated reliability model is the binary k-out of-n 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 quadratic-time 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 binary-imaged multi-state coherent generalized k-out-of-n system, which is still described as a non-repairable system with independent non-identical components. The paper characterizes such a system via switching-algebraic expressions of either system success or system failure at each non-zero level, or equivalently, via, minimal upper vectors or maximal lower vectors. We also adapt the afore-mentioned quadratic-time algorithm to compute the reliability and unreliability at each non-zero system level. We point to the inconvenience of using fixed-point reliability values for systems with good components, and recommend using floating-point unreliability values in this case. |
|
Keywords |
System reliability, Multi-state system, k-out-of-n system, Minimal upper vector, Maximal lower vector. Quadratic-time algorithm.. |
|
URL |
