Condition based maintenance optimization for multi-component systems using proportional hazards model

Zhigang Tian, Haitao Liao

Research output: Contribution to journalArticlepeer-review

248 Scopus citations


The objective of condition based maintenance (CBM) is typically to determine an optimal maintenance policy to minimize the overall maintenance cost based on condition monitoring information. The existing work reported in the literature only focuses on determining the optimal CBM policy for a single unit. In this paper, we investigate CBM of multi-component systems, where economic dependency exists among different components subject to condition monitoring. The fixed preventive replacement cost, such as sending a maintenance team to the site, is incurred once a preventive replacement is performed on one component. As a result, it would be more economical to preventively replace multiple components at the same time. In this work, we propose a multi-component system CBM policy based on proportional hazards model (PHM). The cost evaluation of such a CBM policy becomes much more complex when we extend the PHM based CBM policy from a single unit to a multi-component system. A numerical algorithm is developed in this paper for the exact cost evaluation of the PHM based multi-component CBM policy. Examples using real-world condition monitoring data are provided to demonstrate the proposed methods.

Original languageEnglish (US)
Pages (from-to)581-589
Number of pages9
JournalReliability Engineering and System Safety
Issue number5
StatePublished - May 2011
Externally publishedYes


  • Condition based maintenance
  • Economic dependency
  • Multi-component systems
  • Proportional hazards model

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Industrial and Manufacturing Engineering


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