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Optimal Replacement Policy Based on the Number of Down Times with Priority in Use

Author

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  • Hanagal David D.
  • Kanade Rupali A.

    (Department of Statistics, University of Pune, Pune-411007, India.)

Abstract

This paper is an extension of the paper “Optimal Replacement Policy Based on Number of Down Times” of the authors, which was published in EQC 25/1. While the former investigated a cold standby system consisting of two identical components, the present one considers the same situation, however, with two unequal components. The first component is very reliable while the second one is less reliable. Just as in the previous paper, a replacement policy based on the number of down times in a renewal cycle is determined that maximizes the long run expected reward per unit time. The explicit expression of the long run expected reward per unit time is derived and a numerical example is given for illustration.

Suggested Citation

  • Hanagal David D. & Kanade Rupali A., 2010. "Optimal Replacement Policy Based on the Number of Down Times with Priority in Use," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 243-251, January.
    • Handle: RePEc:bpj:ecqcon:v:25:y:2010:i:2:p:243-251:n:8
    DOI: 10.1515/eqc.2010.017
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    References listed on IDEAS

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    1. Zhang, Yuan Lin, 2007. "A discussion on "A bivariate optimal replacement policy for a repairable system"," European Journal of Operational Research, Elsevier, vol. 179(1), pages 275-276, May.
    2. Hanagal David D. & Kanade Rupali A., 2010. "Optimal Replacement Policy Based on the Number of Down Times," Stochastics and Quality Control, De Gruyter, vol. 25(1), pages 3-12, January.
    3. Zhang, Yuan Lin & Wang, Guan Jun, 2007. "A deteriorating cold standby repairable system with priority in use," European Journal of Operational Research, Elsevier, vol. 183(1), pages 278-295, November.
    4. Rattihalli S. R. & Hanagal David D., 2009. "A Replacement Policy Based on Down Time for a Cold Standby System with Dependent Lifetime and Repairtime," Stochastics and Quality Control, De Gruyter, vol. 24(2), pages 207-212, January.
    5. Zhang, Yuan Lin & Yam, Richard C.M. & Zuo, Ming J., 2007. "A bivariate optimal replacement policy for a multistate repairable system," Reliability Engineering and System Safety, Elsevier, vol. 92(4), pages 535-542.
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