Availability Prediction of Unreliable System under Degradation and Imperfect Repair

Author(s)	Dr. Rekha Kumari
Country	India
Abstract	In this paper, we study the availability indices of a multi-stage degraded system whose failure may occur at each stage and repair is not fully ensured. If the system fails, with some probability it can be repaired to restore its original position otherwise due to imperfect repair, it fails completely. By considering the state transition rates for the degradation process, the transient state probabilities are determined by taking Laplace transforms of the equations governing the model. Some performance measures such as availability, mean life time and mean time to first failure of multistage degraded system etc., are obtained. The sensitivity analysis is also done to examine the effect of parameters on various performance measures.
Keywords	Availability, Degradation, Imperfect repair, Mean life time, Mean time to first failure.
Field	Mathematics
Published In	Volume 14, Issue 2, July-December 2023
Published On	2023-10-27

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Journal of Advances in Developmental Research