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A Bayesian Approach to Optimal Replacement Policy for a Repairable System with Warranty Period

  • Jung, Gi-Mun (BK21 Education Center for Transports in Systems, Chosun University) ;
  • Han, Sung-Sil (BK21, Ewha Womans University)
  • Published : 2002.04.01

Abstract

This paper considers a Bayesian approach to determine an optimal replacement policy for a repairable system with warranty period. The mathematical formula of the expected cost rate per unit time is obtained for two cases : RFRW(renewing free-replacement warranty) and RPRW(renewing pro-rata warranty). When the failure time is Weibull distribution with uncertain parameters, a Bayesian approach is established to formally express and update the uncertain parameters for determining an optimal replacement policy. Some numerical examples are presented for illustrative purpose.

References

  1. Reliability Engineering and System Safety v.51 A Bayesian perspective on some replacement strategies Mazzuchi, T. A.;Soyer, R. https://doi.org/10.1016/0951-8320(95)00077-1
  2. Reliability Engineering and System Safety v.65 A Bayesian perspective on age replacement with minimal repair Sheu, S. H.;Yeh, R. H.;Lin, Y. B.;Juang, M. G. https://doi.org/10.1016/S0951-8320(98)00087-8
  3. IEEE Transactions on Reliability v.18 Bayesian analysis of the Weibull process with unknown scale and shape parameters Soland, R. M. https://doi.org/10.1109/TR.1969.5216348
  4. Microelectronics and Reliability v.34 An optimal imperfect maintenance policy over a warranty period Jack, N.;Dagpunar, J. S. https://doi.org/10.1016/0026-2714(94)90091-4
  5. Journal of the Korean Society for Quality Management v.29 A Bayesian approach for Quality Management Han, S. S.;Jung, G. M.;Kwon, Y. S.
  6. Reliability Engineering and System Safety v.37 Optimal number of periodic maintenance operations under warranty Chun, Y. H. https://doi.org/10.1016/0951-8320(92)90127-7
  7. European Journal of Operational Research v.134 Optimal preventive-maintenance warranty policy for repairable products Yeh, R. H.;Lo, H. C. https://doi.org/10.1016/S0377-2217(00)00238-1
  8. Aisa-Pacific Journal of Operational Research v.17 Periodic preventive maintenance policies following the expiration of warranty Jung, G. M.;Lee, J. H.;Park, D. H.
  9. IEEE Transactions on Reliability v.45 Maintenance strategies following the expiration of warranty Sahin, I.;Polatoglu, H. https://doi.org/10.1109/24.510805

Cited by

  1. Optimal Bayesian Maintenance Policies Following the Expiration of Combination Warranty vol.23, pp.1, 2002, https://doi.org/10.1080/09617353.2002.11690750
  2. Maintenance models in warranty: A literature review vol.229, pp.3, 2013, https://doi.org/10.1016/j.ejor.2013.01.017