Title: On total capacity of k-out-of-n systems with random weights
Authors: Yiying Zhang - Southern University of Science and Technology (China) [presenting]
Weiyong Ding - Jiangsu Normal University (China)
Peng Zhao - Jiangsu Normal University (China)
Abstract: In engineering applications, many reliability systems can be modeled as k-out-of-n systems with components having random weights. Before putting such kind of system into a working state, it is of great significance for a system designer to find out the optimal assembly of the random weights to the components. We investigate the performance levels of k-out-of-n systems with random weights. Optimal assembly policies are obtained by maximizing the total capacity according to different criteria, including the usual stochastic order, the increasing convex [concave] order, and the expectation order. Based on the optimal assembly strategy derived by maximizing the expected total capacity, we further investigate stochastic properties of the resulting weighted system with respect to the vector of expectations of random weights. Numerical examples are provided to highlight our theoretical findings as well.