Probabilistic approach to performance evaluation of a series-parallel system

  • Authors

    • Saminu I. Bala Bayero University, Kano
    • Ibrahim Yusuf Bayero University, Kano, Nigeria
    2017-06-04
    https://doi.org/10.14419/ijamr.v6i3.7814
  • Series, Parallel, Probabilistic, Performance, Markov.

  • The paper deals with modeling and performance evaluation of a series-parallel system using Markov Birth-Death process and probabilistic approach. The system consists of four subsystems arranged in series-parallel with three possible states, working with full capacity, reduced capacity and failed. Through the transition diagrams, systems of differential equations are developed and solved recursively via probabilistic approach. Explicit expressions for steady-state availability are de-rived. Availability matrices for each subsystem have been developed to provide various performance values for different combinations of failure and repair rates of all subsystems. The results from this paper will enhance the system performance and useful for timely execution of proper maintenance improvement, decision, planning and optimization.

    Author Biography

    • Ibrahim Yusuf, Bayero University, Kano, Nigeria

      Department of Mathematical Sciences

      Lecturer II

  • References

    1. [1] kumar, D., Singh Jai and Pandey PC. Reliability analysis of the feeding system in the paper industry. Microelectron Reliability, vol. 28, no. 2, 1988. pp 213-215. https://doi.org/10.1016/0026-2714(88)90353-8.

      [2] Kumar, D., Singh Jai and Pandey PC. Availability analysis of the washing system in the paper industry. Microelectron Reliability, vol.29, 1989, pp 775-778. https://doi.org/10.1016/0026-2714(89)90177-7.

      [3] Kumar, D., Singh Jai and Pandey PC. Operational behavior and profit function for a bleaching and screening in the paper industry. Microelectron Reliability, vol. 33, 1993, pp 1101-1105. https://doi.org/10.1016/0026-2714(93)90338-Y.

      [4] Kumar, D., Singh Jai and Pandey PC. Behavior analysis of urea decomposition in the fertilizer industry under general repair policy. Microelectron Reliability, vol. 31, no. 5, 1991, pp 851-854. https://doi.org/10.1016/0026-2714(91)90023-Z.

      [5] Kumar, D., Singh Jai and Pandey PC. Design and cost analysis of a refining system in a Sugar industry. Microelectron Reliability, vol. 30, no. 6, 1990, pp 1025-1028. https://doi.org/10.1016/0026-2714(90)90274-Q.

      [6] Srinath, L.S. Reliability Engineering 3rd edition, East west press Pvt Ltd. New Delhi, India, 1994.

      [7] P. Gupta, A. Lal, R. Sharma and J. Singh. Numerical analysis of reliability and availability of series processes in butter oil processing plant. International Journal of Quality and Reliability Management, vol. 22, no. 3 2005, pp 303-316. https://doi.org/10.1108/02656710510582507.

      [8] P. Gupta, A. Lal, R. Sharma and J. Singh. Behavioral study of the Cement Manufacturing plant. A numerical approach. Journal of Mathematics and systems sciences. Vol.1, no. 1, 2005, pp 50-69.

      [9] Arora, N., and Kumar, D. System analysis and maintenance management for coal handling system in a paper plant. International Journal of Management and Systems, 2000.

      [10] Singh, J., and Garg, S. Availability analysis of core veneer manufacturing system in plywood industry. International Conference on Reliability and safety engineering, India institute of Technology, Kharagpur, 2005,pp 497-508.

  • Downloads

  • How to Cite

    Bala, S. I., & Yusuf, I. (2017). Probabilistic approach to performance evaluation of a series-parallel system. International Journal of Applied Mathematical Research, 6(3), 74-79. https://doi.org/10.14419/ijamr.v6i3.7814