International Journal of Mathematics Trends and Technology
Volume 69 | Issue 2 | Year 2023 | Article Id. IJMTT-V69I2P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I2P501
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 14 Dec 2022 | 16 Jan 2023 | 29 Jan 2023 | 10 Feb 2023 |
The purpose of present exploration is to develop a stochastic model concerning consecutive 2-out-of-3: G system. The developed model involves three linearly ordered units A, B and C having persistent failure rates. The repair of recently failed unit is given priority and the system is repaired under pre-emptive priority resume repair discipline. The failure of units is modeled by exponential distribution, whereas repair of each unit follows general distribution. The differential equations of the proposed model are formulated by means of supplementary variable method. Laplace Transform tool is employed for solving the resultant equations. The system's performance metrics, including availability, reliability, mean time to failure (MTTF), as well as expected profit are appraised by considering certain specific cases. The effect of failure of each unit on system performance is also studied. The influence of failure of non-consecutive units A and C on system performance is found almost alike, however it is understood with the help of examples and graphs that the role of unit B is very crucial to system performance.
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Garima Chopra, "Stochastic Model for Linear Consecutive 2-out-of-3: G System with Pre-emptive Priority Resume Repair," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 2, pp. 1-14, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I2P501
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