On the static reliability of binary-state and multi-state K-Out-Of-N:G systems

Abstract EN

The k-out-of-n : G (or k / n : G) system structure is a very popular of redundancy in fault-tolerant systems, with wide applications in so many fields.

This paper presents two states of multi-state k / n : G systems.

The first part, we present the definition that introduced by Al-Neweihi et al [1], where the values are the same with respect to all system states and we show that there exists an alternative equivalent definition to Al-Neweihi's definition.

In the second part of this paper we give more general definition proposed by Huang et al [2], where it allows different values with respect to different system states and we provide there exists an equivalent definition to Huang's definition when the values are increasing.

We show it is simply to generalize the mathematical theory of static reliability of binary k / n :G systems to the multistate k / n : G systems.

Several new results are established concerning the evaluation of the stochastic of the system static performance measures, together with their computer algorithm (Belfour algorithm).