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Stochastic Comparison of Age-Dependent Block Replacement Policies

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Abstract

The age-dependent block replacement policy is a modified block replacement policy with an age limit for preventive replacements. Under this policy, any failed component is repaired, but only the components whose ages exceed a fixed age limit are replaced preventively at the scheduled maintenance times. Using the compensator method, we compare stochastically the failure counting processes of the age-dependent block replacement policies with different parameters, and show that the age-dependent block replacement policy, although cost effective, leads to more failures than the age and block replacement policies.

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References

  • T. W. Archibald and R. Dekker, “Modified block replacement for multiple component systems,” IEEE Transactions on Reliability vol. 45 pp. 75–83, 1996.

    Article  Google Scholar 

  • M. Berg and B. Epstein, “A modified block replacement policy,” Naval Research Logistics vol. 23 pp. 15–24, 1976.

    MathSciNet  Google Scholar 

  • H. W. Block, N. Langberg, and T. H. Savits, “Stochastic comparisons of maintenance policies,” In H. W. Block, A. R. Sampson, and T. H. Savits (eds.), Topics in Statistical Dependence, IMS Lecture Notes-Monograph Series, Vol. 16, pp. 57–68, 1990.

  • M. Brown and F. Proschan, “Imperfect repair,” Journal of Applied Probability vol. 20 pp. 851–859, 1983.

    MathSciNet  Google Scholar 

  • M. Kijima, H. Li, and M. Shaked, “Stochastic processes in reliability,” In D. N. Shanbhag and C. R. Rao (eds.), Handbook of Statistics, Vol. 19, pp. 471–510, 2000.

  • A. Kwieciński and R. Szekli, “Compensator conditions for stochastic ordering of point processes,” Journal of Applied Probability vol. 28 pp. 751–761, 1991.

    MathSciNet  Google Scholar 

  • G. Last and R. Szekli, “Stochastic comparison of repairable systems by coupling,” Journal of Applied Probability vol. 35 pp. 348–370, 1998.

    MathSciNet  Google Scholar 

  • H. Li and M. Shaked, “Imperfect repair models with preventive maintenance,” Journal of Applied Probability vol. 40 pp. 1043–1059, 2003.

    Article  MathSciNet  Google Scholar 

  • A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications, Academic Press: New York, 1979.

    Google Scholar 

  • T. Rolski and R. Szekli, “Stochastic ordering and thinning of point processes,” Stochastic Processes and Their Applications vol. 37 pp. 299–312, 1991.

    Article  MathSciNet  Google Scholar 

  • M. Shaked and R. Szekli, “Comparison of replacement policies via point processes,” Advances in Applied Probability vol. 27 pp. 1079–1103, 1995.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Washington State University, Pullman, WA, 99164, USA

    Haijun Li

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  1. Haijun Li
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Correspondence to Haijun Li.

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60K10

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Li, H. Stochastic Comparison of Age-Dependent Block Replacement Policies. Methodol Comput Appl Probab 7, 473–488 (2005). https://doi.org/10.1007/s11009-005-5004-z

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  • DOI: https://doi.org/10.1007/s11009-005-5004-z

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