A bivariate replacement policy for an imperfect repair system based on geometric processes
| Autor: | Lirong Cui, Hongda Gao, Qinglai Dong |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Thesaurus (information retrieval) Delayed repair 021103 operations research 020901 industrial engineering & automation Information retrieval Computer science 0211 other engineering and technologies 02 engineering and technology Bivariate analysis Imperfect Safety Risk Reliability and Quality Geometric process |
| Zdroj: | Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability. 233:670-681 |
| ISSN: | 1748-0078 1748-006X |
| Popis: | A repair replacement model for a deteriorating system with delayed repair is studied, in which the successive working times after repair and the consecutive repair times of the system are described by geometric processes. The instantaneous availability is studied in the case of general distributions for the working time, repair time and delayed repair time. A bivariate replacement policy is considered, that is, the system is replaced whenever the working age of the system reaches T or at the first hitting time of the working time after repair with respect to the working time threshold τ, whichever occurs first. The explicit expression of the long-run average cost rate under the replacement policies is derived. The corresponding optimal replacement policy can be determined numerically, and numerical examples are presented to demonstrate the application of the developed model and approach. It is shown that the optimal solution and optimal value are sensitive to the tiny change in the ratios of the Geometric processes and the expectation of the delayed repair time. |
| Databáze: | OpenAIRE |
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