International Journal of Reliability and Applications

The Korean Reliability Society (한국신뢰성학회)
권호 표지

Evaluating and improving system reliability of bridge structure using gamma distribution

  • Mustaf, Abdelfattah (Mathematics Department, Faculty of Science, Mansoura University) ;
  • El-Desouky, Beih S. (Mathematics Department, Faculty of Science, Mansoura University) ;
  • Taha, Ahmed (Mathematics Department, Faculty of Science, Mansoura University)
  • Received : 2016.04.25
  • Accepted : 2016.12.26
  • Published : 2016.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we study a system of five components. One of them is a bridge network component. Each of these components is identical and has a failure rate as a function of time. The system components have non-constant failure rates. The given system is improved by using the reduction, hot duplication, and cold duplication methods. We derive the equivalence factors of the bridge structure system to be as another system improved according to these different methods. The ${\beta}-fractiles$ are obtained to compare the original system with these improved systems. Finally, we present numerical results to show the difference between these methods.

Keywords

References

  1. Ezzati, G. and Rasouli, A. (2015). Evaluating system reliability using linear-exponential distribution function, International Journal of Advanced Statistics and Probability, 3, 15-24.
  2. Mustafa, A. (2009). Reliability equivalence factor of n- components series system with non-constant failure rates, International Journal of Reliability and Applications, 10, 43-58.
  3. Mustafa, A. and El-Bassoiuny, A. H. (2009). Reliability equivalence of some systems with mixture linear increasing failure rates, Pakistan Journal of Statistics, 25, 149-163.
  4. Mustafa, A. and El-Faheem, A. A. (2011). Reliability euivalence fctors of a sstem with m non-identical mixed of lifetimes, American Journal of Applied Sciences, 8, 297-302. https://doi.org/10.3844/ajassp.2011.297.302
  5. Mustafa, A. and El-Faheem, A. A. (2014). Reliability equivalence factors of a system with mixture of n independent and non-identical lifetimes with delayed time, Journal of the Egyptian Mathematical Society, 22, 96-101. https://doi.org/10.1016/j.joems.2013.05.004
  6. Mustafa, A., El-Desouky, B. S. and El-Dawoody, M. (2009). Reliability equivalence factors of Non-identical components series system with mixture failure rates, International Journal of Reliability and Applications, 10, 17-32.
  7. Rade, L. (1990). Reliability Systems of 3-state components, studies in statistical quality control and reliability, Mathematical Statistics, Chalmers University of Technology, S41296, Gothenburg, Sweden.
  8. Rade, L. (1993a). Reliability equivalence, Microelectronics Reliability, 33, 323-325. https://doi.org/10.1016/0026-2714(93)90020-Y
  9. Rade, L. (1993b). Reliability survival equivalence, Microelectronics Reliability, 33, 881-894. https://doi.org/10.1016/0026-2714(93)90261-V
  10. Sarhan, A. (2004). Reliability equivalence factor of a bridge network system. International Journal of Reliability and Applications, 5, 81-103.
  11. Sarhan A. M. and Mustafa, A. (2006). Reliability equivalence of a series system consists of n independent and non-identical components, International Journal of Reliability and Applications, 7, 111-125.
  12. Xia, Y. and Zhang, G. (2007). Reliability equivalence factors in gamma distribution, Applied Mathematics and Computation, 187, 567-573. https://doi.org/10.1016/j.amc.2006.07.016