Minimal repair and replacement policy for a complex system with different failure modes of the groups

  • Authors

    • Zaharaddeen Aliyu Nigerian Defence Academy, Kaduna Nigeria
    • Bashir Yakasai Bayero University, Kano
    2014-09-20
    https://doi.org/10.14419/ijamr.v3i4.2261

  • Abstract

    This study or research work considered a complex system whose components are grouped into two each with different failure type. The first group consists of components or devices that are repairable and replaceable at failure (type y) and the second group consist of components that are non-repairable but replaceable at failure (type z). We rectify the defect of first group using minimal repair with probability p and replacement with probability 1-p at some threshold number n+1, n?1 of the minimal repair, whereas for components at second group we adopt only replacement in order to correct the failure of the components. Cost functions of the model are derived and both analytical and empirical realizations are made.

    Keywords: Repairable, Replaceable, Replacement and Minimal Repair.

  • References

    1. Chien, Y.H., Sheu, S.H., Zhang, Z.G. and Ernie, L."An extended optimal replacement model of systems subject to shocks" European journal of operational research, vol. 175pp399-412, 2006.
    2. Sheu, S.H., Griffith, W.S. and Nakagawa, T., "Extended optimal replacement model with random minimal repair costs", European journal of operational research, vol. 85 pp636-649, 1995 http://dx.doi.org/10.1016/0377-2217 (93) E0364-4.
    3. Aven T. and Castro, I.T., "A minimal repair replacement model with two types of failure and a safety constraint", European journal of operational research, vol. 188 pp506-515, 2008 http://dx.doi.org/10.1016/j.ejor.2007.04.038.
    4. Chien Y.H. and Sheu, S.H., "Extended optimal age replacement policy with minimal repair of a system subject to shocks", European journal of operational research, vol.174 pp169-181, 2006 http://dx.doi.org/10.1016/j.ejor.2005.01.032.
    5. Yakasai, B.M., "A cast-off replacement policy for a component demanded by two parallel units", Journal operational research society, vol. 52pp716-723, 2001.
    6. Castro I.T. and Sanjuan, E.L., "An optimal repair policy for systems with limited number of repairs", European journal of operational research, vol. 198 pp88-96, 2007.
    7. Philip A.S and Muhammad D, "Block replacement policies for a two component system with failure dependence", Naval research logistic, vol. 50 pp70 – 87, 2003.
    8. Nakagawa T., "Replacement problem of a parallel system in random environment", journal of applied probability, vol. 16 pp203-205, 1979.
    9. Zequeira R. I. and Berenguer C., "Periodic imperfect preventive maintenance with two categories of competing failure modes", Reliability engineering and system safety, vol. 91 pp460 – 468, 2006 http://dx.doi.org/10.1016/j.ress.2005.03.009.
    10. Wang H., "A survey of maintenance policies of deteriorating systems", European journal of operation research, vol. 139 pp469 -489, 2002.
    11. Aven T and Jensen U.,"A general minimal repair model", journal of applied probability, vol. 37, pp187 – 197, 2000.
    12. Barlow R. E. and Proschan F., "Mathematical theory of reliability", Wiley, New York, 1965.
    13. Cox D. R., "Renewal theory", Chapman and hall, New York, 1982.

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  • How to Cite

    Aliyu, Z., & Yakasai, B. (2014). Minimal repair and replacement policy for a complex system with different failure modes of the groups. International Journal of Applied Mathematical Research, 3(4), 416-421. https://doi.org/10.14419/ijamr.v3i4.2261

    Received date: 2014-03-20

    Accepted date: 2014-04-17

    Published date: 2014-09-20