International Journal of Reliability and Applications

The Korean Reliability Society (한국신뢰성학회)
권호 표지

Studies on a standby repairable system with two types of failure

  • El-Damcese, M.A. (Department of Mathematics, Faculty of Science, Tanta University) ;
  • Shama, M.S. (Department of Basic Science, Preparatory Year, King Saud University, KSA)
  • Received : 2015.04.09
  • Accepted : 2015.10.29
  • Published : 2015.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we study the reliability analysis of a repairable system with two types of failure in which switching failures and reboot delay are considered. Let units in this system be cold standby, and failure rate and repair rate of [type1, type2] components be exponentially distributed. The expressions of reliability characteristics - such as the system reliability and the mean time to system failure MTTF - are derived. We use several cases to graphically analyze the effect of various system parameters on the system reliability and MTTF. We also perform a sensitivity analysis of the reliability characteristics with changes in specific values of the system's parameters.

Keywords

References

  1. El-Damcese, M. A. and Shama, M. S. (2013). Reliability measures of a degradable system with standby switching failures and reboot delay, Applied Mathematics in Engineering, Management and Technology, 1, 1-16.
  2. El-Damcese, M. A. and Shama, M. S. (2014) Reliability and availability analysis of a repairable system with two types of failure, Jokull Journal, 64, 75-83.
  3. Hsu, Y. L., Ke, J. C. and Liu, T. H. (2011). Standby system with general repair, reboot delay, switching failure and unreliable repair facility A statistical standpoint, Mathematics and Computers in Simulation, 81, 2400-2413. https://doi.org/10.1016/j.matcom.2011.03.003
  4. Jain M, Rakhee and Singh, M. (2004). Bilevel control of degraded machining system with warm standbys, setup and vacation, Applied Mathematical Modeling, 28, 1015-1026. https://doi.org/10.1016/j.apm.2004.03.009
  5. Ke, J. B., Chen, J. W. and Wang, K. H. (2011). Reliability Measures of a Repairable System with Standby Switching Failures and Reboot Delay, Quality Technology & Quantitative Management, 8, 15-26. https://doi.org/10.1080/16843703.2011.11673243
  6. Wang, K. H, Dong, W. L. and Ke, J. B. (2006). Comparison of reliability and the availability between four systems with warm standby components and standby switching failures, Applied Mathematics and Computation, 183, 1310-1322. https://doi.org/10.1016/j.amc.2006.05.161