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

Document Type : Original Article

Authors
Mahsa Jamali 1
Reza Ahmadi 2
Hossein Bevrani 1
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.
10.22034/jirss.2024.2023615.1053
Abstract
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.
Keywords
Coherent System
Degradation Model
Average Cost Rate
Maintenance
Aging
Load-sharing
Signature
Subjects
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Journal of the Iranian Statistical Society
Volume 23, Issue 1
June 2024
Pages 63-81

  • Receive Date 27 February 2024
  • Revise Date 23 May 2024
  • Accept Date 31 August 2024