Optimal imperfect maintenance cost analysis of a two-component system with failure interactions

• Published in: Reliability engineering & system safety Vol. 177; pp. 24 - 34
• Main Authors: Zhang, Nan, Fouladirad, Mitra, Barros, Anne
• Format: Journal Article
• Language: English
• Published: Barking Elsevier Ltd 01.09.2018; Elsevier BV; Elsevier
• Subjects: Catastrophic failure analysis; Cost analysis; Degradation; Engineering Sciences; Environmental impact; Failure interaction; Imperfect repair; Long-run average cost optimization; Maintenance costs; Mathematical models; Reliability engineering; Repair & maintenance; Two-component systems; Virtual age method; Imperfect repair; Long-run average cost optimization; Failure interaction; Two-component systems; Virtual age method
• ISSN: 0951-8320; 1879-0836
• DOI: 10.1016/j.ress.2018.04.019

•Maintenance policy analysis.•Two component system with stochastic dependency.•Imperfect maintenance and virtual age model.•Non constant Failure rate and Accumulative damage. This paper considers a two-component system with failure interactions. Component 1 is repairable and component 2 is non repairable and is subject to an increasing degradation. One considers two different shock models. In model 1, component 1 failure causes random gradual damages to component 2 and increases its degradation level. In model 2, component 1 failure may cause the failure of component 2 with a given probability while the failure of component 2 is catastrophic and induces the failure of the whole system. For each model, three maintenance policies are proposed. In each policy, component 1 undergoes imperfect corrective maintenance actions and component 2 is perfectly repaired. An explicit expression of the long run average maintenance cost is developed and the existence of the optimal policy is discussed. Numerical examples are given to illustrate the effectiveness of the proposed models.