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8. Assessing Product Reliability
8. Assessing Product Reliability
8.
Assessing Product Reliability
This chapter describes the terms, models and techniques used to evaluate and predict
product reliability.
1.
Introduction
Why important?
2.
Assumptions/Prerequisites
Choosing appropriate life
distribution
2.
Basic terms and models
3.
Common difficulties
2.
Plotting reliability data
4.
Modeling "physical acceleration"
3.
Testing assumptions
5.
Common acceleration models
4.
Choosing a physical acceleration
model
6.
Basic non-repairable lifetime
distributions
5.
Models and assumptions for
Bayesian methods
7.
Basic models for repairable systems
8.
Evaluate reliability "bottom-up"
9.
Modeling reliability growth
10.
Bayesian methodology
3.
Reliability Data Collection
Planning reliability assessment tests
4.
Reliability Data Analysis
Estimating parameters from
censored data
2.
Fitting an acceleration model
3.
Projecting reliability at use
conditions
4.
Comparing reliability between two
or more populations
5.
Fitting system repair rate models
6.
Estimating reliability using a
Bayesian gamma prior
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1.
1.
1.
8. Assessing Product Reliability
Click here for a detailed table of contents
References for Chapter 8
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8. Assessing Product Reliability
8.
Assessing Product Reliability - Detailed
Table of Contents [8.]
1.
Introduction
[8.1.]
Why is the assessment and control of product reliability important?
[8.1.1.]
Quality versus reliability
[8.1.1.1.]
1.
1.
2.
Competitive driving factors
[8.1.1.2.]
3.
Safety and health considerations
[8.1.1.3.]
2.
What are the basic terms and models used for reliability evaluation?
[8.1.2.]
Repairable systems, non-repairable populations and lifetime distribution
models
[8.1.2.1.]
1.
2.
Reliability or survival function
[8.1.2.2.]
3.
Failure (or hazard) rate
[8.1.2.3.]
4.
"Bathtub" curve
[8.1.2.4.]
5.
Repair rate or ROCOF
[8.1.2.5.]
3.
What are some common difficulties with reliability data and how are they
overcome?
[8.1.3.]
Censoring
[8.1.3.1.]
1.
2.
Lack of failures
[8.1.3.2.]
4.
What is "physical acceleration" and how do we model it?
[8.1.4.]
5.
What are some common acceleration models?
[8.1.5.]
Arrhenius
[8.1.5.1.]
1.
2.
Eyring
[8.1.5.2.]
3.
Other models
[8.1.5.3.]
6.
What are the basic lifetime distribution models used for non-repairable
populations?
[8.1.6.]
Exponential
[8.1.6.1.]
1.
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8. Assessing Product Reliability
2.
Weibull
[8.1.6.2.]
3.
Extreme value distributions
[8.1.6.3.]
4.
Lognormal
[8.1.6.4.]
5.
Gamma
[8.1.6.5.]
6.
Fatigue life (Birnbaum-Saunders)
[8.1.6.6.]
7.
What are some basic repair rate models used for repairable systems?
[8.1.7.]
Homogeneous Poisson Process (HPP)
[8.1.7.1.]
Proportional hazards model
[8.1.6.7.]
7.
1.
2.
Non-Homogeneous Poisson Process (NHPP) - power law
[8.1.7.2.]
3.
Exponential law
[8.1.7.3.]
8.
How can you evaluate reliability from the
[8.1.8.]
Competing risk model
[8.1.8.1.]
1.
2.
Series model
[8.1.8.2.]
3.
Parallel or redundant model
[8.1.8.3.]
4.
R out of N model
[8.1.8.4.]
5.
Standby model
[8.1.8.5.]
6.
Complex systems
[8.1.8.6.]
9.
How can you model reliability growth?
[8.1.9.]
NHPP power law
[8.1.9.1.]
1.
2.
Duane plots
[8.1.9.2.]
3.
NHPP exponential law
[8.1.9.3.]
10.
How can Bayesian methodology be used for reliability evaluation?
[8.1.10.]
2.
Assumptions/Prerequisites
[8.2.]
How do you choose an appropriate life distribution model?
[8.2.1.]
Based on failure mode
[8.2.1.1.]
1.
1.
2.
Extreme value argument
[8.2.1.2.]
3.
Multiplicative degradation argument
[8.2.1.3.]
4.
Fatigue life (Birnbaum-Saunders) model
[8.2.1.4.]
5.
Empirical model fitting - distribution free (Kaplan-Meier) approach
[8.2.1.5.]
2.
How do you plot reliability data?
[8.2.2.]
Probability plotting
[8.2.2.1.]
1.
2.
Hazard and cum hazard plotting
[8.2.2.2.]
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8. Assessing Product Reliability
3.
How can you test reliability model assumptions?
[8.2.3.]
Visual tests
[8.2.3.1.]
Trend and growth plotting (Duane plots)
[8.2.2.3.]
3.
1.
2.
Goodness of fit tests
[8.2.3.2.]
3.
Likelihood ratio tests
[8.2.3.3.]
4.
Trend tests
[8.2.3.4.]
4.
How do you choose an appropriate physical acceleration model?
[8.2.4.]
5.
What models and assumptions are typically made when Bayesian methods are used
for reliability evaluation?
[8.2.5.]
3.
Reliability Data Collection
[8.3.]
How do you plan a reliability assessment test?
[8.3.1.]
Exponential life distribution (or HPP model) tests
[8.3.1.1.]
1.
1.
2.
Lognormal or Weibull tests
[8.3.1.2.]
3.
Reliability growth (Duane model)
[8.3.1.3.]
4.
Accelerated life tests
[8.3.1.4.]
5.
Bayesian gamma prior model
[8.3.1.5.]
4.
Reliability Data Analysis
[8.4.]
How do you estimate life distribution parameters from censored data?
[8.4.1.]
Graphical estimation
[8.4.1.1.]
1.
1.
2.
Maximum likelihood estimation
[8.4.1.2.]
3.
A Weibull maximum likelihood estimation example
[8.4.1.3.]
2.
How do you fit an acceleration model?
[8.4.2.]
Graphical estimation
[8.4.2.1.]
1.
2.
Maximum likelihood
[8.4.2.2.]
3.
Fitting models using degradation data instead of failures
[8.4.2.3.]
3.
How do you project reliability at use conditions?
[8.4.3.]
4.
How do you compare reliability between two or more populations?
[8.4.4.]
5.
How do you fit system repair rate models?
[8.4.5.]
Constant repair rate (HPP/exponential) model
[8.4.5.1.]
1.
2.
Power law (Duane) model
[8.4.5.2.]
3.
Exponential law model
[8.4.5.3.]
6.
How do you estimate reliability using the Bayesian gamma prior model?
[8.4.6.]
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