Extended optimal replacement model with random minimal repair costs

Sheu Shey-Huei Sheu, William S. Griffith, Nakagawa Toshio Nakagawa

Research output: Contribution to journalArticlepeer-review

118 Scopus citations


This paper proposes a generalized replacement policy where a system has two types of failures and is replaced at the n-th type I failure (minor failure) or first type II failure (catastrophic failure) or at age T, whichever occurs first. Type I and type II failure are age-dependent. Type I failures are removed by minimal repairs. The cost of the minimal repair of the system at age z depends on the random part C(z) and the deterministic part c(z). The expected cost rate is obtained. The optimal n* and optimal T* which would minimize the cost rate are discussed. Various special cases are considered. Finally, a numerical example is given.

Original languageEnglish
Pages (from-to)636-649
Number of pages14
JournalEuropean Journal of Operational Research
Issue number3
StatePublished - Sep 21 1995

Bibliographical note

Funding Information:
The authorsw ouldlike to thank two anonymourse fereesfo r their valuablec ommentsa nd suggestions which greatlye nhancedth e clarityo f the paper.A ll of their suggestionwse rei ncorporateddi rectlyin the text. The authorst hankP rofessorC .T. Liou, Dean, National Taiwan Instituteo f Technologyf,o r useful discussionsN. umericalworks by Mr. C.M. Kuo are also acknowledgedR. esearchs upportedb y the National Science Council of the Republic of China under Grant NSC 80-0415-E011-15.


  • Availability
  • Maintenance
  • Optimization
  • Reliability
  • Repair
  • Replacement policy

ASJC Scopus subject areas

  • Computer Science (all)
  • Modeling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management


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