Iranian Statistical Society Journal of the Iranian Statistical Society 1726-4057 23 1 2024 11 04 Signature-based Reliability and Maintenance Planning for a Load-sharing Coherent System Operating in a Random Environment 63 81 715710 10.22034/jirss.2024.2023615.1053 EN Mahsa Jamali Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran. Reza Ahmadi School of Mathematics and Computer Science, Iran University of Science and Technology, Tehran, Iran. 0000-0003-4114-1507 Hossein Bevrani Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran. Journal Article 2024 02 27 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. https://jirss.irstat.ir/article_715710_0f4f807effad0e65e56f488d0ed6b464.pdf