Signature-based Reliability and Maintenance Planning for a Load-sharing Coherent System Operating in a Random Environment

نویسندگان

1 Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran

2 School of Mathematics and Computer Science, Iran University of Science and Technology, Tehran, Iran.

3 Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran.

doi
10.22034/jirss.2024.2023615.1053
چکیده

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.