Repairable Systems Reliability Analysis. Rajiv Nandan Rai
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List of Figures
Figure 1.1 | Types of repair |
Figure 1.2 | Various techniques for reliability analysis |
Figure 2.1 | A MCF example |
Figure 2.2 | An improving system |
Figure 2.3 | A stable system |
Figure 2.4 | A deteriorating system |
Figure 2.5 | History and distribution of failures observed at age t |
Figure 2.6 | MCF plot of Example 2.2 |
Figure 2.7 | Graphical plots of Example 2.3 |
Figure 2.8 | MCF with confidence bounds of Example 2.2 data |
Figure 2.9 | MCF plot of Example 2.4 |
Figure 2.10 | A ROV. (Image taken from: https://www.pinterest.com/pin/552676185495210644/?nic=1) |
Figure 2.11 | MCF by combining all failure modes |
Figure 2.12 | Event plot for each system |
Figure 2.13 | MCF plot of each system |
Figure 2.14 | Grouping of systems based on performance behavior |
Figure 2.15 | Event plot of all three groups |
Figure 2.16 | MCF plot of all three groups |
Figure 3.1 | Bathtub-shaped intensity function |
Figure 3.2 | Conditional probability of occurrence of failures |
Figure 3.3 | Photograph of an aero engine |
Figure 3.4 | Intensity function plot for Example 3.1 |
Figure 3.5 | Intensity function plot for Example 3.2 |
Figure 3.6 | Intensity function plot for Example 3.3 |
Figure 3.7 | Availability plot for Example 3.3 |
Figure 5.1 | Reliability-based HFRC threshold |
Figure 5.2 | Availability-based threshold for HFRC |
Figure 5.3 | Flying task vs. availability |
Figure 6.1 | q vs. F(vi | vi–1) for FM1 |
Figure 6.2 | q vs. F(vi | vi–1) for FM2 |
Figure 6.3 | q vs. F(vi | vi–1) for FM3 |
Figure 7.1 | Overview of the approach |
Figure 7.2 | Evaluation of alternatives through ANP |
Figure 7.3 | Evaluation of APE through AHP |
Figure 8.1 | Overview of Chapter 8 |
Figure 8.2 | Propagation of variability between workstations in series |
Figure 8.3 | Work flow/work stations for engine overhaul line |
Figure 8.4 | Work flow/work stations for LPCR blades |
Figure 8.5 | Work flow/work stations for CCOC |
Figure 8.6 | Work flow/work stations for LPTR blades repair |
1 Introduction to Repairable Systems
1.1 Introduction
A system is a collection of mutually related items, assembled to perform one or more intended functions. Any system majorly consists of (i) items as the operating parts, (ii) attributes as the properties of items, and (iii) the link between items and attributes as interrelationships. A system is not only expected to perform its specified function(s) under its operating conditions and constraints but also expected to meet specified requirements, referred as performance and attributes. The system exhibits certain behavioural pattern that can never ever be exhibited by any of its constituent items or their subsets. The items of a system may themselves be systems, and every system may be part of a larger system in a hierarchy. Each system has a purpose for which items, attributes, and relationships have been organized. Everything else that remains outside the boundaries of system is considered as environment from where a system receives input (in the form of material, energy, and/or information) and makes output to the environment which might be in different form as that of the input it had received. Internally, the items communicate through input and output wherein output(s) of one items(s) becomes the input(s) to others. The inherent ability of an item/system to perform required function(s) with specified performance and attributes when it is utilized as specified is known as functionability [1]. This definition differentiates between the terms functionality and functionability where former is purely related to the function performed whereas latter also takes into considerations the level of performance achieved.
Despite the system is functionable at the beginning of its operational life, we are fully aware that even after using the perfect design, best