Comparative analysis of some reliability characteristics between two dissimilar redundant systems with replacement at common cause failure

  • Authors

    • Ibrahim Yusuf
    • Bashir Yusuf
    2013-12-29
    https://doi.org/10.14419/ijasp.v2i1.1481
  • Abstract

    In this paper, probabilistic models for two dissimilar redundant systems with replacement at each common cause failure have been developed to analyze and compare some reliability characteristics. Two configurations are studied under the assumption that each system is replaced at the occurrence of common cause failure. Configuration I is a 3-out-of-4 cold standby system, while configuration II is 3-out-of-5 cold standby system. Explicit expressions for mean time to system failure (MTSF), steady-state availability, busy period and profit function for the three models are analyzed using Kolmogorov’s forward equations method. Comparisons are performed for specific values of system parameters. Furthermore, we compare these reliability characteristics for the two configurations and find that configuration II is more reliable and efficient than configuration I.

     

    Keywords: Redundancy, replacement, Common cause failure.

  • References

    1. A.Khatab, N. Nahas, M.Nourelfath, Availbilty of k-out-of-n: G systems with non-identical components subject to repair priorities.Reliab. Eng. Syst. Safety. 94, (2009) 142-151.
    2. B.S. Dhillon, O.C. Anude, Common cause failure analysis of a non-identical two unit parallel system with arbitrary distributed times. Microelectronics and reliability, Vol. 33, No. 1, (1993) 87-103.
    3. D.S.Vashisth, Analysis of redundant system with common cause failures. International Journal of engineering Science and Technology, Vol. 3, No. 12, (2011) 8247-8254.
    4. G.R. Jahanshahloo,M.H.Behzad, M. Mirbolouki,M. Ranking stochastic efficient DMU based on reliability, International Journal of Industrial Mathematics, Vol.2,No.4,(2010) 263-270.
    5. G.S. Mokaddis, M.S. El Sherbeny, E.Al-Esayey,E. Compare between two unit cold standby and warm standbyb outdoor electric power systems in changing weather, Journal of Mathematics and Statistics, 6(1), (2010) 17-22.
    6. I.Yusuf, Comparison of some reliability characteristics between redundant systems requiring supporting units for their operation. Journal of Mathematical and Computational Sciences, 3(1), (2013) 216-232.
    7. I.Yusuf, B.Yusuf, Evaluation of reliability characteristics of two dissimilar network flow systems. Applied Mathematical Sciences, 7(40), (2013) 1983-1999 [7].
    8. J.C.Ke, and Y.K.Chu, Comparative analysis of availability for a redundant repairable system. Applied Mathematics and Computation, 188, (2007) 332-338.
    9. J.Shao, L.R. Lamberson, (Modeling shared-load k-out-of-n: G systems. IEEE Trans. Reliab., 40, (1991) : DOI:10.1109/24.87129.
    10. K.H.Wang, C.H Hseih, C.H. Liou, Cost benefit analysis of series systems with cold standby components and a repairable service station, Quality technology and quantitative management, 3(1), (2006) 77-92.
    11. K.H.Wang, Y.J.Chen, Comparative analysis of availability between three systems with general repair times, reboot delay and switching failures. Applied Mathematics and Computation, 215, (2009) 384-394.
    12. K.H.Wang, T.C, Yen,Y.C.Fang, Comparison of Availability between two systems with warm standby units and different imperfect coverage, Quality technology and quantitative management, 9(3), (2012) 265-282.
    13. K.M. El-Said, Cost analysis of a system with preventive maintenance by using Kolmogorov’s forward equations method. American Journal of Applied Sciences, Vol.5, No.4, (2008) 405-410.
    14. M.A. Abdo, M. Hori, Reliability of Using 3-D Woven Polypropylene Fiber in Strengthening of a Large-Scale RC Structure Subjected to Seismic Loads, Arabian Journal for Science and Engineering Volume 37, Issue 3, (2012) 505-520 DOI10.1007/s13369-012-0208-3.
    15. M.Y.Haggag, Cost analysis of a system involving common cause failures and preventive maintenance. Journal of Mathematics and Statistics, Vol. 5, No.4, (2009) 305-310.
    16. Y.,Barron, E. Frostig, B. Levikson, Analysis of r out of n systems with several repairmen, exponential life times and phase type repair times: an algorithmic approach. Eur. J. Oper. Res. Algorithm Approach 169, (2006) 202-225.
    17. Z.Iravani, A generalized model in the performing evaluation of decision making sub-units, International Journal of Industrial Mathematics, Vol.2, No.3, (2010) 189-198.
  • Downloads

  • Received date: 2013-11-08

    Accepted date: 2013-12-05

    Published date: 2013-12-29