A Stochastic Failure Model with Dependent Competing Risks and its Applications to Condition-Based Maintenance. (June 2015)

• Record Type: Journal Article
• Authors: Cha, Ji Hwan; Castro, Inma T.
• Is Part Of: Journal of applied probability. Volume 52:Number 2(2015)
• Page Start: 558
• Page End: 573
• Publication Date: 2015-06
• Subjects: Dependent competing risks, -- degradation process, -- catastrophic failure, -- external shock process, -- baseline failure rate function, -- condition-based maintenance; 60K10, -- 62P30; 519.2
• DOI: 10.1017/S0021900200012638
• Languages: English
• ISSNs: 0021-9002

Abstract

Abstract : In this paper a stochastic failure model for a system with stochastically dependent competing failures is analyzed. The system is subject to two types of failure: degradation failure and catastrophic failure. Both types of failure share an initial common source: an external shock process. This implies that they are stochastically dependent. In our developments of the model, the type of dependency between the two kinds of failure will be characterized. Conditional properties of the two competing risks are also investigated. These properties are the fundamental basis for the development of the maintenance strategy studied in this paper. Considering this maintenance strategy, the long-run average cost rate is derived and the optimal maintenance policy is discussed.