On Optimal Allocation of Redundancies in Random Weighted Coherent Systems

Unlike the ordinary coherent systems, a random weighted coherent system captures components' disparity. Its performance is measured by some appropriate measure of contributions made by all of its components. In this paper, we consider random weighted coherent systems, defined based on the survival capacity, with three different survival mechanisms, namely, Types‐I, II, and III. Then, we study the optimal active redundancy allocation policy as well as the optimal assembly method of random weights in a random weighted coherent system. We provide several numerical examples to illustrate all the results established here.