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‘Time‐free’ preventive maintenance of systems with structures described by signatures

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  • Maxim Finkelstein
  • Ilya Gertsbakh

Abstract

A new approach to optimal maintenance of multicomponent systems (networks) is suggested. It is applied to systems subject to external shock processes. Signatures are used for description of systems structures and for dealing with the corresponding optimal maintenance problems. The number of shocks experienced by a system defines a discrete parameter for minimization of the long‐run costs per unit of time and is viewed as an alternative scale. The optimal preventive maintenance is performed either after the shock with the obtained optimal number or the corrective maintenance (replacement) of the whole failed system occurs, whichever comes first. A numerical example is considered and the comparison with the age‐based preventive maintenance is performed. Copyright © 2015 John Wiley & Sons, Ltd.

Suggested Citation

  • Maxim Finkelstein & Ilya Gertsbakh, 2015. "‘Time‐free’ preventive maintenance of systems with structures described by signatures," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(6), pages 836-845, November.
    • Handle: RePEc:wly:apsmbi:v:31:y:2015:i:6:p:836-845
    DOI: 10.1002/asmb.2111
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    Cited by:

    1. Hashemi, M. & Asadi, M. & Zarezadeh, S., 2020. "Optimal maintenance policies for coherent systems with multi-type components," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    2. Alberti, Alexandre R. & Cavalcante, Cristiano A.V., 2020. "A two-scale maintenance policy for protection systems subject to shocks when meeting demands," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    3. Zarezadeh, Somayeh & Ashrafi, Somayeh, 2019. "On preventive maintenance of networks with components subject to external shocks," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    4. Zarezadeh, Somayeh & Asadi, Majid, 2019. "Coherent systems subject to multiple shocks with applications to preventative maintenance," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 124-132.
    5. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal aborting strategy for three-phase missions performed by multiple units," Reliability Engineering and System Safety, Elsevier, vol. 208(C).

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