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.
|Number of pages
|European Journal of Operational Research
|Published - Sep 21 1995
Bibliographical noteFunding 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.
- Replacement policy
ASJC Scopus subject areas
- Computer Science (all)
- Modeling and Simulation
- Management Science and Operations Research
- Information Systems and Management