EXTENDED OPTIMAL REPLACEMENT MODEL WITH RANDOM MINIMAL REPAIR COSTS

Citation
Sh. Sheu et al., EXTENDED OPTIMAL REPLACEMENT MODEL WITH RANDOM MINIMAL REPAIR COSTS, European journal of operational research, 85(3), 1995, pp. 636-649
Citations number
28
Categorie Soggetti
Management,"Operatione Research & Management Science
ISSN journal
03772217
Volume
85
Issue
3
Year of publication
1995
Pages
636 - 649
Database
ISI
SICI code
0377-2217(1995)85:3<636:EORMWR>2.0.ZU;2-K
Abstract
This paper proposes a generalized replacement policy where a system ha s two types of failures and is replaced at the n-th type I failure (mi nor failure) or first type II failure (catastrophic failure) or at age T, whichever occurs first. Type I and type II failure are age-depende nt. Type I failures are removed by minimal repairs. The cost of the mi nimal repair of the system at age z depends on the random part C(z) an d the deterministic part c(z). The expected cost rate is obtained. The optimal n and optimal T* which would minimize the cost rate are disc ussed. Various special cases are considered. Finally, a numerical exam ple is given.