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Optimal replacement policy for obsolete components with general failure rates

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  • Sophie Mercier

Abstract

Identical components are considered, which become obsolete once new‐type ones are available, more reliable and less energy consuming. We envision different possible replacement strategies for the old‐type components by the new‐type ones: either purely preventive, where all old‐type components are replaced as soon as the new‐type ones are available; either purely corrective, where the old‐type ones are replaced by new‐type ones only at failure; or a mixture of both strategies, where the old‐type ones are first replaced at failure by new‐type ones and next simultaneously preventively replaced after a fixed number of failed old‐type components. To evaluate the respective value of each possible strategy, a cost function is considered, which represents the mean total cost on some finite time interval [0, t]. This function takes into account replacement costs, with economical dependence between simultaneous replacements, and also some energy consumption (and/or production) cost, with a constant rate per unit time. A full analytical expression is provided for the cost function induced by each possible replacement strategy. The optimal strategy is derived in long‐time run. Numerical experiments conclude the paper. Copyright © 2008 John Wiley & Sons, Ltd.

Suggested Citation

  • Sophie Mercier, 2008. "Optimal replacement policy for obsolete components with general failure rates," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(3), pages 221-235, May.
  • Handle: RePEc:wly:apsmbi:v:24:y:2008:i:3:p:221-235
    DOI: 10.1002/asmb.706
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    Cited by:

    1. Nguyen, T.P.K. & Castanier, Bruno & Yeung, Thomas G., 2014. "Maintaining a system subject to uncertain technological evolution," Reliability Engineering and System Safety, Elsevier, vol. 128(C), pages 56-65.
    2. Yatsenko, Yuri & Hritonenko, Natali, 2015. "Algorithms for asset replacement under limited technological forecast," International Journal of Production Economics, Elsevier, vol. 160(C), pages 26-33.
    3. Qianru Ge & Willem van Jaarsveld & Zümbül Atan, 2020. "Optimal redesign decisions through failure rate estimates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(4), pages 254-271, June.
    4. Yatsenko, Yuri & Hritonenko, Natali, 2017. "Machine replacement under evolving deterministic and stochastic costs," International Journal of Production Economics, Elsevier, vol. 193(C), pages 491-501.
    5. Nguyen, T.P. Khanh & Yeung, Thomas G. & Castanier, Bruno, 2013. "Optimal maintenance and replacement decisions under technological change with consideration of spare parts inventories," International Journal of Production Economics, Elsevier, vol. 143(2), pages 472-477.
    6. Mellal, Mohamed Arezki, 2020. "Obsolescence – A review of the literature," Technology in Society, Elsevier, vol. 63(C).
    7. Sou-Sen Leu & Tao-Ming Ying, 2020. "Replacement and Maintenance Decision Analysis for Hydraulic Machinery Facilities at Reservoirs under Imperfect Maintenance," Energies, MDPI, vol. 13(10), pages 1-10, May.
    8. Öner, K.B. & Kiesmüller, G.P. & van Houtum, G.J., 2015. "On the upgrading policy after the redesign of a component for reliability improvement," European Journal of Operational Research, Elsevier, vol. 244(3), pages 867-880.

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