signature-based reliability and maintenance planning for a load-sharing coherent system operating in a random environment

This paper, using the signature technique and a generalized farlie-gumbel-morgenstern (fgm) copula function, presents a generic mean residual lifetime (mrl) model for the reliability analysis of a load-sharing coherent system. the present approach differs from earlier models in that in addition to load-sharing phenomenon it simultaneously considers the effect of operating conditions on the system. further, using the developed model and the renewal-reward argument, an age replacement policy is investigated. the proposed mrl model and the behavior of the optimal solution as the model parameters change are illustrated through numerical examples.