Abstract

In this thesis, periodic inspection of a load-sharing k-out-of-n system has been studied to obtain the optimal inspection interval using the analytical and simulation approaches. The components of a load-sharing system are stochastically dependent, which makes the analysis of these systems more complex than those with independent components. In order to acquire the optimal inspection interval for the system, two models have been developed to study load-sharing systems with Tampered Failure Rate (TFR) and Cumulative Exposure (CE). The former considers only the current load of the components and the later accounts for the history of load. Various load intensities are examined to study the effects of this parameter on each model. It is observed that as the load intensity increases, the system needs more frequent inspections. The results also reveal that a system with the CE model requires a shorter inspection interval in comparison to that with the TFR model.

Highlights

  • Reliability is a measure of performance for a system or its components which ensures that the system is functional over a period of time and under certain conditions

  • According to Amari et al [33], load-sharing systems can be categorized into two types: Tampered Failure Rate (TFR), and Cumulative Exposure (CE), which will be described below

  • Cumulative Exposure (CE) Model: Unlike TFR, this model considers the cumulative effect of the load history applied to each component to find the failure rate and reliability of the system

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Summary

Introduction

There are two types of load-sharing systems, Tampered Failure Rate (TFR) and Cumulative Exposure (CE). In TFR, it is assumed that the fluctuations in load do not affect the age of the remaining components while changing their hazard rates. In CE, the fluctuations in load in previous inspection intervals affect both the scale parameter (η) and the age of the remaining components [43], which means the workload history of each component is important. The objective of this chapter is to find the optimal inspection interval for the systems using the CE and describe the applications of the model by numerical examples. This chapter includes the description of the problem and the assumptions made along with the description of simulation algorithm used to find the expected values in the model followed by numerical examples

Standby redundancy
The Configuration of Components in a System
Series Configuration
Parallel Configuration
Load-Sharing
Reliability and Maintenance Optimization of Multi-Component Systems
F Figure 7
Reliability and Maintenance Optimization of k-out-of-n Systems
Reliability and Maintenance Optimization of Load-Sharing Systems
Inspection Optimization Models for Complex Systems
Problem Description, Objective and Assumptions
Inspection Optimization Modeling
Discussing Failures and Inspections for a 1-out-of-2 Load-Sharing System
Mathematical Solution for a 1-out-of-2 System
Simulation Algorithm
Numerical Examples
Problem Description
CONCLUSION AND FUTURE WORK

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