Evaluating system reliability using linear-exponential distribution function

  • Authors

    • Ghasem Ezzati Federation University
    • Abbas Rasouli Zanjan University
    2014-12-19
    https://doi.org/10.14419/ijasp.v3i1.3927
  • Improvement Methods, Linear-Exponential Distribution, Reliability Function, Series-Parallel Systems.

  • Abstract

    Safety is a main criterion to design every system. Among various theories, which are applied to improve system safety, reliability theory is known as a powerful tool to reach higher safety levels in system design. In this paper, a compound of series and parallel systems is considered for reliability improvement. This system includes three items that two items are connected in parallel and their compound item is connected to the third item in series. It's assumed that the items are independent and their longevity follows linear-exponential distribution function. Reliability function of the mentioned system is formulated using linear-exponential distribution function. Then, three improvement methods will be applied to enhance system reliability. In each method, different sets of items will be considered for improvement and their reliability functions will be reformulated. A data analysis will be done in order to compare different improvement methods and a conclusion will be made based on the analyzed data.

  • References

    1. Ahi, P. and Jenab, K. and Ghasempoor, A. and Rajai, M., "A Survivability Model for Ejection of Green Compacts in Powder Metallurgy Technology", International Journal of Industrial Engineering Computations, Vol. 3 (2012), pp. 15-24.
    2. Ascher, H., "Different Insights for Part and System Reliability Obtained from Exactly Same DFOM Failure Numbers", Reliability Engineering and System Safety, Vol. 92 (2007), pp. 552-559.
    3. Ayyub, B. M. and McCuen, R. H., “Probability, Statistics and Reliability for Engineers and Scientistsâ€, Boca Raton, CRC Press, (2011).
    4. Billinton, R. and Allan, R. N., “Reliability Evaluation of Engineering Systems; Concepts and Techniquesâ€, Plenum Press, (1992).
    5. Birolini, A., “Reliability Engineering, Theory and Pracitce, Fifth Editionâ€, Springer, Berlin, (2007).
    6. Csenki, A., "On Continuous Lifetime Distributions with Polynomial Failure Rate with an Application in Reliability", Reliability Engineering and System Safety, Vol. 96 (2011), pp. 1587-1590.
    7. Ezzati, G. and Mammadov, M. and Kulkarni, S., "A New Reliability Analysis Method based on the Conjugate Gradient Direction", Structural and Multidisciplinary Optimization, DOI: 10.1007/s00158-014-1113-z, (2014).
    8. Ezzati, G. and Mammadov, M. and Kulkarni, S., "Solving Reliability Analysis Problems in the Polar Space", International Journal of Applied Mathematical Research, Vol. 3, No. 4 (2014), pp. 353-365.
    9. Levitin, G. and Xing, L. and Ben-Haim, H. and Dai, Y., "Reliability of Series-Parallel Systems with Random Failure Propagation Time", IEEE Transactions on Reliability, Vol. 62, No. 3 (2013), pp. 637-647.
    10. Mahmoud, M. A. W. and Alam, F. M. A., "The Generalized Linear Exponential Distribution", Statistics and Probability Letters, Vol. 80 (2010), pp. 1005-1014.
    11. Mustafa, A. and El-Faheem, A. A., "Reliability Equivalence Factors of a System with Mixture of n Independent and Non-identical Lifetimes with Delay Time", Journal of Egyptian Mathematical Society, Vol. 22 (2014), pp. 96-101.
    12. Mustafa, A., "Reliability Equivalence Factors for Some Systems with Mixture Weibull Failure Rates", American Journal of Mathematics and Statistics, Vol. 2, No. 1 (2012), pp. 6-12.
    13. Pyttel, B. and Grawenhof, P. and Berger, C., "Application of Different Concepts for Fatigue Design of Welded Joints in Rotating Components in Mechanical Engineering", International Journal of Fatigue, Vol. 34 (2012), pp. 35-46.
    14. Rao, B. S. and Kanta, R. R. L. and Rosaiah, K. and Babu, M. S., "Exponential-Gamma Additive Failure Rate Model", Journal of Safety Engineering, Vol. 2, No. 2A (2013), pp. 1-6.
    15. Sarhan, A. M., "Reliability Equivalence with a Basic Series/Parallel System", Applied Mathematics and Computation, Vol. 132 (2002), pp. 115-133.
    16. Sarhan, A. M. and Apaloo, J., "Exponentiated Modified Weibull Extension Distribution", Reliability Engineering and System Safety, Vol. 112 (2013), pp. 137-144.
    17. Sarhan, A. M. and Ahmad, A. E. A. and Alasbahi, I. A., "Exponentiated Generalized Linear Exponential Distribution", Applied Mathematical Modelling, Vol. 37 (2013), pp. 2838-2849.
    18. Stapelberg, R. F., “Handbook of Reliability, Availability, Maintainability and Safety in Engineering Design,†Springer, (2009).
    19. Yousry, H. A. and Shawky, A. I. and Al-Ohally, M. I., "Reliability Equivalence of Independent Non-identical Parallel and Series Systems", Life Science Journal, Vol. 9, No. 3 (2012), pp. 577-583.

  • Downloads

  • Received date: 2014-11-24

    Accepted date: 2014-12-15

    Published date: 2014-12-19