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Home » LMS » Page 6

by Steven Wachs Leave a Comment

02 Reliability Test Planning & Censoring Schemes

02 Reliability Test Planning & Censoring Schemes

Module 6 Reliability Test Planning

Lesson M06-02

Text: Section 8, pages 1 – 24

Duration: 14 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Reliability Test Planning & Censoring Schemes

Here, the purpose of test planning is described.  To prepare for the next lesson, this lesson 2 introduces sub-types of right censoring (Fixed Time -Type I and Fixed Failure – Type II).

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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by Steven Wachs Leave a Comment

01 Reliability Testing Ideas

01 Reliability Testing Ideas

Module 6 Reliability Test Planning

Lesson M06-01

Text:

Duration: 26 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Reliability Testing Ideas

The first lesson discusses the types of reliability tests and general planning for these tests.  We emphasize the importance of testing to failure rather than testing to success with limited sample sizes.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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by Steven Wachs Leave a Comment

M06 Reliability Test Planning

M06 Reliability Test Planning

Module 6 Reliability Test Planning

Lesson M06-00

Text: Sections 8

Duration: 3 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Introduction to the Introduction to the Reliability Test Planning Module

Reliability testing is a key component for ensuring that Reliability targets are achieved.  Planning for reliability tests is important to ensure that the results are likely to be useful.  In this module, we look at planning for both reliability estimation tests and reliability demonstration tests.  Essentially, we must test enough units for long enough to be able to adequately estimate reliability or demonstrate that targets are met.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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06 Reliability Importance, Reliability Allocation, & other Concepts

06 Reliability Importance, Reliability Allocation, & other Concepts

Module 5 Introduction to System Reliability

Lesson M05-06

Text: Section 4  pages 23 – 24

Duration: 17 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Reliability Importance, Reliability Allocation, & other Concepts

The final lesson introduces some additional systems reliability concepts and methods. Reliability Importance analysis identifies the components that have the largest impact on the system reliability. This is an easy question for pure series and pure parallel systems but is not obvious for more complex systems. Reliability Allocation allows a system engineer to identify feasible reliability targets at the component level so that the system level reliability target may be achieved. A few other more advanced concepts are introduced.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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05 Complex Systems

05 Complex Systems

Module 5 Introduction to System Reliability

Lesson M05-05

Text: Section 4  pages 19 – 22

Duration: 8 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Complex Systems

Systems that are not simply combinations of series and parallel components are introduced and briefly described. The methods available for analyzing these systems are introduced but not covered in detail.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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04 Exercises

04 Exercises

Module 5 Introduction to System Reliability

Lesson M05-04

Text: Section 4

Duration: 8 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Exercises

The exercises provide an opportunity to practice handling k-out-n Parallel systems.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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03 k-out-of-n Parallel Systems & Combination Systems

03 k-out-of-n Parallel Systems & Combination Systems

Module 5 Introduction to System Reliability

Lesson M05-03

Text: Section 4  pages 11 – 18

Duration: 24 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

k-out-of-n Parallel Systems & Combination Systems

Some Parallel systems require more than one of the items in parallel to function for the system to function. K-out-of-n systems are introduced and the method to calculate the reliability is described and illustrated. We also reinforce methods for handling combinations of series and parallel subsystems and discuss types of redundancies.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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02 Basic Parallel Systems & Short Exercise

02 Basic Parallel Systems & Short Exercise

Module 5 Introduction to System Reliability

Lesson M05-02

Text: Section 4  pages 8 – 10

Duration: 20 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Basic Parallel Systems & Short Exercise

Here we define the pure parallel system model in which redundant components exist such that only 1 of the components in parallel must function for the system to function. We illustrate how calculating the system reliability of this model directly can be tedious, yet calculating the failure probability of the system is straight-forward and provides an easier approach to obtaining the system reliability. A short exercise is offered to reinforce calculating reliability for series and parallel systems.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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01 System Reliability Overview & Basic Series Systems

01 System Reliability Overview & Basic Series Systems

Module 5 Introduction to System Reliability

Lesson M05-01

Text: Section 4  pages 1 – 7

Duration: 20 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

System Reliability Overview & Basic Series Systems

In this module, we define system reliability and discuss the factors that impact the overall system-level reliability. We also introduce reliability block diagrams that help depict the system from a reliability standpoint. We then introduce the series system model which is used to model the reliability when any component failure will cause the system to fail.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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M05 Introduction to System Reliability

M05 Introduction to System Reliability

Module 5 Introduction to System Reliability

Lesson M05-00

Text: Sections 4

Duration: 2 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Introduction to the Introduction to System Reliability Module

In Module 5, we extend the estimation of component reliability to the reliability estimation of a system comprised of multiple components. The system reliability depends both on the component reliabilities as well as their configuration. Redundant components allow the system reliability to achieve levels that exceed the component reliabilities. We explore the basic series and parallel structures as well as k-out-of-n parallel systems. We also introduce more complex systems and various aspects of system reliability including reliability importance and reliability allocation.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


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by Fred Schenkelberg Leave a Comment

S16 DfX Derating and other Design for…

S16 DfX Derating and other Design for…

CRE Live Preparation Course

S16 DfX Derating, Environmental Factors, Tolerance, and more

Covered a range of topics include DFX, derating, tolerance and other topics related to designing in reliability.

About 2 minutes into the session Adobe Connect froze again – so, bailed and opened a session in GotoMeeting

Link to the recording via GotoMeeting

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s16-cre-live-winter-2020.mp4

let me know how the recording works.

 

 

Resources & Links

 

For the last session and any follow up we’re moving to GotoMeetting

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

Plot Your Derating Guidelines

Introduction to Derating

The Basics of Derating Electronic Components

The Derating & Safety Margin Manual

Fundamentals of Stress-Strength Analysis (podcast)

Introduction to Design for Reliability

What is Reliability Optimization?

Fundamentals of Environmental and Use Conditions (podcast)

Use and Environmental Profiles

The Environmental and Use Manual

Environmental and Use Factors

 

Fundamentals of Tolerance Analysis (podcast)

Statistical Tolerance Analysis — Basic Introduction (ebook)

Root Sum Squared Tolerance Analysis Method

Worst Case Tolerance Analysis

Tolerance Specifications Impact on Reliability

What is Robust Design? (video)

SOR 173 When to Focus on Robust Design (podcast)

Lessons Learned From Designing for Reliability

Why DMAIC Endures as a Robust Thought Process

Deciding What Should Have Fault Tolerance

Fault Tolerance Basics

The Downside of a Fault Tolerant System

Reliability Apportionment and How to Do It

Reliability Apportionment

Establishing Part Specific Reliability Specifications

Solving a Reliability Optimization Example

Reliability Allocations

3 Ways to Do Reliability Allocation (webinar recording)

Safety Factor

Designing for Safety: Human Errors

Asking a Vendor for Reliability Data (podcast)

SOR 301 Working with Suppliers Offering New Technologies (podcast)

Supplier’s Reliability Responsibility

Reliability Questions to Ask Your Suppliers

Supplier Management Fundamentals

 

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by Fred Schenkelberg Leave a Comment

S17 Maintenance & Reliability and a few Exam tips

S17 Maintenance & Reliability and a few Exam tips

CRE Live Preparation Course

S17 Maintenance & Reliability and a few Exam tips

The embedded recording

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s17-cre-live-winter-2020.mp4

 

Resources & Links

 

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

RCM Facilitation and Effective Maintenance

RCM is NOT just for aircraft!

Managing the Consequences of Failure with RCM<

131 – RCM Principles with Nancy Regan (podcast)

64 – What is TPM with Greg Folts (podcast)

SOR 156 Reliability and Maintenance Strategy (podcast)

Reliability and Availability Modeling in Practice

Where Does Maintenance Fit Into Reliability?

The Downside of a Fault Tolerant System

The System Effectiveness Concept

Here are a few of my best approach for the exam articles:

Exam Taking Insights and a Request

Tips on Preparing for the ASQ CRE Exam

18 Tips for Taking Standardized Exams

How to Prepare for the CRE Exam

Top 10 CRE Exam Preparation Tips

Recipe for CRE Exam Preparation

Signed up, Now What?

CRE Exam Preparation

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by Fred Schenkelberg Leave a Comment

S10 FRACAS & Test Planning Overview

S10 FRACAS & Test Planning Overview

CRE Live Preparation Course

Session 10 – FRACAS & Test Planning Overview

Embedded recording of the session

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s10-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

Fundamentals of FRACAS (webinar)

SOR 167 Getting FRACAS to Serve Your Team (podcast)

FRACAS

A slew of articles on test planning

4 Different Types of Reliability Testing

Reliability Testing Considerations

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by Fred Schenkelberg Leave a Comment

S11 Human Factors, Environmental and Accelerated Testing

S11 Human Factors, Environmental and Accelerated Testing

CRE Live Preparation Course

S11 Human Factors, Environmental, and Accelerated Testing

Embedded recording of the session

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s11-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

SOR 043 Environmental Testing and Reliability (podcast)

Is Environmental Testing Part of Product Reliability?

SOR 445 High Temperature Environmental or Reliability Testing (podcast)

4 Different Types of Reliability Testing

Reliability Testing Considerations

(Thermal) Accelerated testing – how do I do it?

Lead-Free Solder Accelerated Testing

Electromigration Accelerated Life Testing

Metal Fatigue Failure Mechanism Accelerated Life Testing

Temperature & Humidity Accelerated Life Testing

Time Compression Accelerated Life Testing

The Eyring Model

ALT Allocation of Test Units

Introduction to Thermal Cycling Life Testing

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by Fred Schenkelberg Leave a Comment

S12 More on Accelerated Testing, HALT, SW Testing

S12 More on Accelerated Testing, HALT, SW Testing

CRE Live Preparation Course

S12 More on Accelerated Testing, HALT, SW Testing

Embedded recording of the session

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s12-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

SOR 489 3 Questions to Get Started with HALT Planning (podcast)
SOR 375 HALT Versus ALT (podcast)

Fundamentals of HALT (webinar recording and podcast)

4 Steps to Accomplish HALT

Why success with HALT begins long before doing HALT

Why HALT is a methodology, not equipment
Lead-Free Solder Accelerated Testing
Electromigration Accelerated Life Testing
Metal Fatigue Failure Mechanism Accelerated Life Testing
Temperature & Humidity Accelerated Life Testing
Time Compression Accelerated Life Testing
The Eyring Model
ALT Allocation of Test Units
Introduction to Thermal Cycling Life Testing

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