Modelling and analysis of repairable systems with preventive maintenance

Houbao Xu, Weiwei Hu

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The time-dependent solution of a kind of repairable system with preventive maintenance is investigated in the paper. With total probability formula, we show that the behavior of the system can be described as a group of ordinary differential equations coupled with partial differential equations, which can be formulated as a time delay equation in an appropriate Banach space. Based on the time-delay equation, this paper presents a difference scheme as an approximating method to solve the time-dependent solution which is necessary for analyzing the instantaneous availability of the repairable system. Some numerical examples are shown to illustrate the effectiveness of this approach.

Original languageEnglish (US)
Pages (from-to)46-53
Number of pages8
JournalApplied Mathematics and Computation
StatePublished - 2013


  • Difference scheme
  • Preventive maintenance
  • Time delay equation


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