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Optimal Number of Repairs Before Replacement for a System Subject to Shocks of a Non-Homogeneous Pure Birth Process.
- Source :
- IEEE Transactions on Reliability; Mar2013, Vol. 62 Issue 1, p73-81, 9p
- Publication Year :
- 2013
-
Abstract
- We consider a system subject to shocks that arrive according to a nonhomogeneous pure birth process (NHPBP). As a shock occurs, the system has two types of failures. Type-I failure (minor failure) is rectified by a general repair, whereas type-II failure (catastrophic failure) is removed by an unplanned replacement. The probabilities of these two types of failures depend on the number of shocks since the last replacement. We consider a policy with which the system is replaced at the nth type-I failure, or at any type-II failure. The aim of this paper is to determine the optimal policy n^\ast, the number of minor failures up to replacement that minimizes the expected cost rate of the system subject to NHPBP shocks. The model is a generalization of the existing models, and is more applicable in practice. We present some numerical examples, and show that several classical models are the special cases of our model. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00189529
- Volume :
- 62
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Reliability
- Publication Type :
- Academic Journal
- Accession number :
- 85988220
- Full Text :
- https://doi.org/10.1109/TR.2013.2241195