New stochastic models for preventive maintenance and maintenance optimization

Hyunju Lee, Ji Hwan Cha

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


This paper considers periodic preventive maintenance policies for a deteriorating repairable system. On each failure the system is repaired and, at the planned times, it is periodically maintained to improve its reliability performance. Most of periodic preventive maintenance (PM) models for repairable systems have been studied assuming that the failure process between two PMs follows the nonhomogeneous Poisson process (NHPP), implying the minimal repair on each failure. However, in this paper, we assume that the failure process between two PMs follows a new counting process which is a generalized version of the NHPP. We develop two types of PM models and study detailed properties of the optimal policies which minimize the long-run expected cost rates. Numerical examples are also provided.

Original languageEnglish
Pages (from-to)80-90
Number of pages11
JournalEuropean Journal of Operational Research
Issue number1
StatePublished - 16 Nov 2016

Bibliographical note

Funding Information:
The authors would like to thank the referees for valuable comments and constructive suggestions, which have improved the presentation of this paper considerably. This work was supported by Priority Research Centers Program through the National Research Foundation of Korea ( NRF ) funded by the Ministry of Education, Science and Technology (no. 2009-0093827 ).

Publisher Copyright:
© 2016 Elsevier B.V. All rights reserved.


  • Generalized Polya process
  • Optimal periodic maintenance
  • Repair type
  • Stochastic intensity
  • Worse-than-minimal-repair


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