Redundancy importance and allocation of spares in coherent systems
The authors discussed the concept of `redundancy importance' for components in a coherent system and compared it to other well-known measures of component importance. Using this concept, the authors optimized the allocation of one or more redundant spare components to the coherent system. In some circumstances, parallel redundancy is used to improve the reliability of the system, while in others series redundancy is used to improve a different measure of utility. Keeping this aspect in view, the authors have defined the two concepts of parallel and series redundancy importance for components in a coherent system relative to an available set of redundant spares. These measures of importance have been compared with the structural importance and Birnbaum's reliability importance of a component. Various results for the optimal allocation of redundant spares are obtained, with particular reference to \(k\)-out-of-\(n\) systems and modules of coherent systems. This paper discussed an important problem related to systems. The results are interesting and important.
scientific article; zbMATH DE number 63528