Stochastic modeling of a repairable warm standby system in the presence of repair machines

Ibrahim Yusuf

Abstract


Most of the researches done on repairable systems assumed that when the system failed, it is repaired by repairman or repairmen. Little literature is found in the use of repair machines to repair the failed unit. In this study, stochastic analysis of a repairable 2-out-of-4 system is presented. The system comprises of two subsystems A and B arranged in series. Subsystems A and B are two units warm standby. The system is attended by two repair machines assigned to each subsystem to repair any failed unit. Explicit expressions for mean time to system failure (MTSF), the steady-state availability, busy period of repair machines, and profit function of the system are analyzed stochastically using Kolmogorov’s forward equation method. Analytical and numerical results giving some particular values to the costs and other parameters have been obtained.

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How to Cite this Article:

Ibrahim Yusuf, Stochastic modeling of a repairable warm standby system in the presence of repair machines, Journal of Mathematical and Computational Science, Vol 3, No 1 (2013), 365-378

Copyright © 2013 Ibrahim Yusuf. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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