Analysis of discrete-time semi-Markov model for a two-unit warm standby system subject to degradation
Journal of Quality in Maintenance Engineering
ISSN: 1355-2511
Article publication date: 1 October 2020
Issue publication date: 11 February 2022
Abstract
Purpose
The present paper analyzed a model consisting of one unit with a warm standby unit where the main unit has three states: up, degraded and down.
Design/methodology/approach
The semi-Markov model under the regenerative method is used to construct the mathematical model for the system.
Findings
The effectiveness measures of the system are discussed such as availability, reliability, steady-state availability and mean time to system failure. The life and repair times of the system units are assumed to be discrete follow discrete Weibull distribution. Also, the parameters of the discrete Weibull distribution are assumed to be fuzzy with bell-shaped membership function. An application is introduced to show the results obtained for the system and the profit of the presented model.
Originality/value
Rarely papers in literature treated the topic of the discrete-time semi-Markov process using a regenerative point technique.
Keywords
Acknowledgements
This project was supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under the research project # 2019/01/9560.
Citation
Temraz, N. (2022), "Analysis of discrete-time semi-Markov model for a two-unit warm standby system subject to degradation", Journal of Quality in Maintenance Engineering, Vol. 28 No. 1, pp. 86-101. https://doi.org/10.1108/JQME-06-2020-0055
Publisher
:Emerald Publishing Limited
Copyright © 2020, Emerald Publishing Limited