Modelling of Condition Monitoring with Imperfect Inspections
نویسندگان
چکیده
The analytical modelling of a condition monitoring for a system which is subject to degradation over time is considered. The system condition can be observed at discrete times by means of imperfect inspections. In addition to the critical threshold, for each time point of inspection a replacement threshold is introduced. The decision rule when checking system suitability for use in the upcoming time interval is analysed. The analytical equations for the probabilities of correct and incorrect decisions when checking system suitability are derived. The system operation process is analysed in an infinite time interval. Expressions are derived for determining a posteriori operational reliability indicators. A specific deterioration process is used to illustrate the proposed general expressions for the probabilities of correct and incorrect decisions and a posteriori operational reliability. Numerical examples illustrate the efficiency of the proposed approach.
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