This paper deals with the modelling and evaluation of availability of a system subject to three consecutive stages of deterioration: minor, medium and major deteriorations under minor and major maintenance, and replacement at deterioration and failure respectively. The system has three possible modes: working with full capacity, deterioration and failure mode. In this paper, probabilistic models have been developed to evaluate the relationship between availability and the performance of a standby deteriorating system. Various graphs have been plotted to discover the impact of the deterioration and failure on steady-state availability. The system is analysed using first order linear differential equations.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | May 27, 2018 |
Submission Date | April 13, 2018 |
Acceptance Date | May 15, 2018 |
Published in Issue | Year 2018 |
Journal of Mathematical Sciences and Modelling
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