Abstract
All reliability models consisting of random time factors form stochastic processes. In this paper we recall the definitions of the most common point processes which are used for modelling of repairable systems. Particularly this paper presents stochastic processes as examples of reliability systems for the support of the maintenance related decisions. We consider the simplest one-unit system with a negligible repair or replacement time, i.e., the unit is operating and is repaired or replaced at failure, where the time required for repair and replacement is negligible.When the repair or replacement is completed, the unit becomes as good as new and resumes operation. The stochastic modelling of recoverable systems constitutes an excellent method of supporting maintenance related decision-making processes and enables their more rational use.
Highlights
Maintenance and failure taxonomiesWe present some terms and definitions directly or indirectly used in engineering maintenance
All reliability models consisting of random time factors form stochastic processes
A wide knowledge of probabilities, statistics, and stochastic processes is needed for learning the reliability theory mathematically
Summary
We present some terms and definitions directly or indirectly used in engineering maintenance. Repair a restoration wherein a failed system (device) is returned to operable condition;. Minimal repair a repair of limited effort wherein the device is returned to the operable state it was in just before failure;. Critical failure the component is unable to perform its function due to critical-degradation of its state. Non-total critical failure occurs when the component fails to meet specifications but still has some residual functionality;. Maintenance of units after failure may be costly, and sometimes requires a long time. It is not wise to maintain units with unnecessary frequency. From such viewpoints, the commonly considered maintenance policies are preventive replacement for units without repair, and preventive maintenance for units with repair on a specific schedule. Classifying into three large groups, planned maintenance of units is carried out at a certain age, after a certain period of time, or after a specified number of occurrences
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