期刊
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH
卷 30, 期 5, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217595913500164
关键词
Age based maintenance; degradation-threshold-shock models; gamma process; pitting corrosion; nonhomogeneous Poisson process; minimal repair
资金
- Ministerio de Educacion y Ciencia, Spain [MTM2012-36603-C02-01]
A system subject to internal defects and external shocks is analyzed in this paper. Internal defects initiate following a nonhomogeneous Poisson process (NHPP) and they grow according to deterioration processes modeled as gamma processes. A corrective replacement is performed when the deterioration of a defect exceeds a failure threshold. The system is subject to external shocks. After an external shock, the system is replaced with probability 1 - p and is minimally repaired with probability p. The system is preventively replaced at the age of T. Costs are associated with the maintenance actions. The value of T that minimizes the expected cost rate is obtained analytically. Numerical examples are showed to illustrate the theoretical results.
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