Optimal maintenance policies for linear consecutive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si132.svg" display="inline" id="d1e629"><mml:mi>k</mml:mi></mml:math>-out-of-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si133.svg" display="inline" id="d1e634"><mml:mi>n</mml:mi></mml:math>:F systems susceptible to dependent failures

Rezaei, Esmaeil; Jafary, Bentolhoda; Fiondella, Lance

doi:10.1016/j.cie.2022.108657

Cited by 9 publications

(1 citation statement)

References 27 publications

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“…This system is widely applied in bank automatic payment systems and signal processing and infrared (IR) detecting systems, which has received extensive research interest. 31,32 The previous literature of the consecutive k c -out-of-n: F system focuses on the reliability modeling [33][34][35][36][37] and maintenance optimization, 38,39 while the mission abort policy has not been studied for the system of interest.…”

Section: Introductionmentioning

confidence: 99%

Mission abort strategy for generalized k-out-of-n: F systems considering competing failure criteria

Cao

Wang

2023

Proceedings of the Institution of Mechanical Engineers, Part O:

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For safety-critical systems such as submarines and solar lighting system, mission abort is an effective way to enhance system survivability when a certain malfunction condition is met. This paper contributes by presenting a bivariate mission abort policy for generalized k-out-of- n: F systems that fail if there are at least m non-overlapping kc consecutive failed components or at least kt failed components. When the number of non-overlapping kc consecutive failed components reaches a preset level or the total number of failed components exceeds a predetermined value, the mission is aborted, and then a rescue procedure is initiated. Mission reliability and system survivability are derived by employing a two-step finite Markov chain imbedding approach. The optimization models are formulated with the purpose of maximizing the mission reliability, and minimizing the expected total cost of mission failure and system failure, respectively. A numerical example based on a solar lighting system is presented to illustrate the applicability of the proposed policies.

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