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Optimal Imperfect Maintenance in a Multi-state System

In: Recent Advances in Multi-state Systems Reliability

Author

Listed:
  • Stephanie Dietrich

    (Otto-von-Guericke University Magdeburg)

  • Waltraud Kahle

    (Otto-von-Guericke University Magdeburg)

Abstract

In this research, we are concerned with the modeling of optimal maintenance actions in multi-state systems. Most of the imperfect maintenance models that have been investigated in literature use either imperfect preventive maintenance actions or imperfect corrective maintenance actions. In this paper we consider a model with both imperfect preventive and imperfect corrective maintenance actions. A sequential failure limit preventive maintenance (PM) policy with infinite planning horizon and with imperfect preventive and imperfect corrective maintenance actions is used to formulate a cost optimization problem. Different cost functions for PM actions, as well as several discrete lifetime distributions are introduced. The solution of the cost optimization problem is illustrated by an example.

Suggested Citation

  • Stephanie Dietrich & Waltraud Kahle, 2018. "Optimal Imperfect Maintenance in a Multi-state System," Springer Series in Reliability Engineering, in: Anatoly Lisnianski & Ilia Frenkel & Alex Karagrigoriou (ed.), Recent Advances in Multi-state Systems Reliability, pages 179-193, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-319-63423-4_9
    DOI: 10.1007/978-3-319-63423-4_9
    as

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