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Optimal replacement policy for a series system with obsolescence

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  • Sophie Mercier
  • Pierre‐Etienne Labeau

Abstract

Most maintenance policies assume that failed or used components are replaced with identical units. Actually, such a hypothesis neglects the possible obsolescence of the components. When a new, more reliable and less consuming technology becomes available, a decision has to be made as for the replacement strategy to be used: old‐type components can all be immediately replaced, or new‐type units can be introduced progressively, each time a corrective action is undertaken. Partly corrective, partly preventive policies can also be envisioned. This work tackles this issue in the case of a series system made of n identical and independent components with a constant failure rate. It provides, under given modelling assumptions, the fully analytical expression of the mean total cost induced by each possible strategy, as well as the optimal replacement policy, as a function of the problem parameters. This is performed by accounting for different costs for preventive or corrective replacements, with some economical dependence between replacements, different energy consumption rates for old‐type and new‐type components as well as a discount rate. Copyright © 2004 John Wiley & Sons, Ltd.

Suggested Citation

  • Sophie Mercier & Pierre‐Etienne Labeau, 2004. "Optimal replacement policy for a series system with obsolescence," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 20(1), pages 73-91, January.
    • Handle: RePEc:wly:apsmbi:v:20:y:2004:i:1:p:73-91
    DOI: 10.1002/asmb.516
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    Cited by:

    1. 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.
    2. Clavareau, Julien & Labeau, Pierre-Etienne, 2009. "Maintenance and replacement policies under technological obsolescence," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 370-381.
    3. Jan Block & Alireza Ahmadi & Xun Xiao & Uday Kumar, 2019. "Spares provisioning strategy for periodically replaced units within the fleet retirement period," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(3), pages 299-315, June.
    4. Mellal, Mohamed Arezki, 2020. "Obsolescence – A review of the literature," Technology in Society, Elsevier, vol. 63(C).
    5. Clavareau, Julien & Labeau, Pierre-Etienne, 2009. "A Petri net-based modelling of replacement strategies under technological obsolescence," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 357-369.
    6. 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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