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Investigating Availability Computation with Exponential Failure Rates and Fixed-Time Repair Delays

Graaf, Silas de (2023) Investigating Availability Computation with Exponential Failure Rates and Fixed-Time Repair Delays.

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Abstract:Fault tree analysis is a widely used method for assessing system risks and reliability. In repairable fault trees, components are typically modeled with exponentially distributed failure and repair rates. However, a novel approach is to consider the repair time of these components to be fixed. Researchers at the University of Twente have developed a theorem for computing the time-specific availability of such components. Currently, the applicability of the theorem to real-life scenarios is unexplored, and there is a lack of practical implementations. Moreover, the theorem’s current state lacks exploration of potential extensions. An existing case study was identified to demonstrate the practical applicability of the theorem. Furthermore, a Python tool was developed which utilizes the new approach. The study also explored extensions to the basic theorem. These include the calculation of other properties for components with an exponentially distributed failure rate and fixed time delay, as well as the availability computation for components with more complex failure behaviour. Through experiments, insights were gained into the change in component availability over time. The most significant finding is that accurately describing failure behaviour and considering fixed repair times improves our ability to estimate component availability effectively. Ultimately, the study serves as a first expedition into the possibilities presented by the novel approach. Multiple avenues for future research into the topic are identified.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:30 exact sciences in general, 31 mathematics, 50 technical science in general, 54 computer science
Programme:Computer Science BSc (56964)
Link to this item:https://purl.utwente.nl/essays/96007
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