ENRE602 RELIABILITY ANALYSIS
MODULE 2: INTRODUCTION TO
PROBABILITY AND STATISTICS
Katrina M. Groth
Assistant Professor
Mechanical Engineering Department
Center for Risk and Reliability
University of Maryland
[email protected]
K. Groth & M. Modarres
2017
1
R
Article ID #123
DEGRADATION MODELS
Suk Joo Bae
Department of Industrial Engineering
Hanyang University, Seoul, Korea
Telephone: 82222200473
email: [email protected]
Paul H. Kvam
School of Industrial & Systems Engineering
Georgia Institute of Technol
Julianne Douglas
ENRE600 ER01
Assignment 1 & 2
Due: 11:59pm on September 13, 2016 via Canvas upload
Assignment1:DiscussindetailtheFAALOVitsoriginandimpacton
theCivilAviationIndustry
The period 20102012 saw the introduction by the US Federal Aviation Admi
Problem Set 1
1.
Define failure rate and hazard rate. Explain their application to the reliability of
components and repairable systems. Discuss the plausibility of the bathtub curve in both
contexts.
2.
Explain the theory of component failures derived fr
ENRE 602 RELIABILITY ANALYSIS
DATA ANALYSIS FOR NON REPAIRABLE
SYSTEMS
FAILURE MODEL SELECTION
There are ways in which we can establish whether a distribution is a good
fit.
Small sample
Nonparametric
(no distribution is assumed)
Large sample
Probability
ENRE602 RELIABILITY ANALYSIS
MODULE 3: COMPONENT
RELIABILITY
Katrina M. Groth
Assistant Professor
Mechanical Engineering Department
Center for Risk and Reliability
University of Maryland
[email protected]
1
PROBABILISTIC
DEFINITION OF RELIABILITY
For chapter
ASSIGNMENT 4
Solutions
1. Frequently, component or device reliability is expressed in terms of device hazard
rate, and device hazard rate is expressed in units of percent of failures per unit time.
The FIT is a common unit for hazard rate. One FIT is a un
Julianne Douglas
ENRE600 ER01
Assignment 4
Part 1.
In many real cases, the lifetime distribution is known and the degradation
distribution is unknown. In module 3, we introduced the concept of degradation
parameter. Read the attached article by Bae et al
Julianne Douglas
ENRE600 ER01
Assignment 4
Part 1.
In many real cases, the lifetime distribution is known and the degradation
distribution is unknown. In module 3, we introduced the concept of degradation
parameter. Read the attached article by Bae et al
Julianne Douglas
ENRE 600 ER01
Assignment 3
Part A
1. The lifetimes of automobile batteries by company xyz are found to be normally
distributed with =1,250 days and = 175 days (use 1 month = 30 days). For how many
months can the manufacturer guarantee tho
Julianne Douglas
ENRE 600 ER01
Assignment 3
Part A
1. The lifetimes of automobile batteries by company xyz are found to be normally
distributed with =1,250 days and = 175 days (use 1 month = 30 days). For how many
months can the manufacturer guarantee tho
ENRE602 RELIABILITY ANALYSIS
MODULE 2B: INTRODUCTION
TO
PROBABILITY AND STATISTICS
(PART 2)
Katrina M. Groth
Assistant Professor
Mechanical Engineering Department
Center for Risk and Reliability
University of Maryland
[email protected]
1
Announcements & Remi
Assignment 3b
1. You are asked to summarize the two papers and note the differences between the market,
business approach/ market approach and the physics of failure approach.
Summary of Manuscript 2 Quality, Product Quality, and Market Share Increase: A
ENRE602 Fall 2017
Homework #1 Solutions
Total points possible: 40:
Problem 1: 10 points total.

Description of your application (5pts)
Description of reliability motivations. (5pts)
All other problems: 5 pts each.
Grading rubric used on assignment 1:
5
T
Assignment 4
Part 1. In many real cases, the lifetime distribution is known and the degradation
distribution is unknown. In module 3, we introduced the concept of degradation
parameter. Read the attached article by Bae et al and discuss the attributes of
ENRE602 RELIABILITY ANALYSIS
MODULE 1: PERSPECTIVE &
FUNDAMENTAL CONCEPTS
Katrina M. Groth
Assistant Professor
Mechanical Engineering Department
Center for Risk and Reliability
University of Maryland
[email protected]
KM Groth & M Modarres 2017
1
Objectives
Homework #2
ENRE 602 Fall 2017
Problems are very similar to the book problems from Modarres 2017 (problem number in
parentheses). In some cases I have added additional parts to the questions to assess your
understanding. Be sure to answer these additional
Advanced Methods in Reliability Analysis
ENRE655
Homework 2 Solution
1For the system shown in the following diagram,
A
C
1
2
B
D
E
a) Develop a structure function for system failure (defined as breakdown in
communication between points 1 and 2)
( ~ ) [1
1
Advanced Methods in Reliability Analysis
ENRE655
Homework Set 1 Solution
Problem 1.
(a) For a parallel system the structure function is
The dual structure is formed from as follows
where
For a parallel system
which is the structure function of a series
1
University of Maryland
Advanced Methods in Reliability Analysis
ENRE655
Homework Set 1
Problem 1 (assigned in class):
Show that the dual structure of a parallel (series) system is a series (parallel) system structure.
Problem 2:
Develop the structure f
Advanced Methods in Reliability Analysis
ENRE655
Homework 2
1For the system shown in the following diagram,
a) Develop a structure function for system failure (defined as breakdown in
communication between points 1 and 2)
b) Use the BDD method to quantif
ADVANCED METHODS IN RELIABILITY
ANALYSIS
ENRE6555
Module 1
Reliability Engineering:
An Introduction
Reliability Engineering
Determine why and how systems and
processes fail
Measure, track, and predict levels of reliability
in various phases of system/p
ADVANCED METHODS IN RELIABILITY
ANALYSIS
ENRE655
Module 4
MODELING AND QUANTIFICATION
OF
DEPENDENT FAILURES
RELIABILITY SIGNIFICANCE
OF
DEPENDENT FAILURES
A.Mosleh 2010
Advanced Methods in Reliability Analysis
Module 6
2
RELIABILITY ANALYSIS OF A SIMPLE
ADVANCED RELIABILITY MODELING
ENRE 655
BINARY DECISION DIAGRAMS
MODULE 3
SESSION OUTLINE
Purpose of this session is to discuss the use of Binary
Decision Diagrams as a representation of Boolean
expressions, and their use in the solution of fault tree and
Fault Tree Handbook with Aerospace Applications
Fault Tree Handbook with Aerospace
Applications
Prepared for
NASA Office of Safety and Mission Assurance
NASA Headquarters
Washington, DC 20546
August, 2002
Version 1.1
Fault Tree Handbook with Aerospace App
ADVANCED METHODS IN RELIABILITY
ANALYSIS
ENRE655
Module 2
MATHEMATICAL THEORY
OF
SYSTEMS RELIABILITY LOGIC MODELS
SCOPE
In this lecture we will investigate deterministic relationship between a
systems and its components.
A system is defined as a set of
Reliability Block Diagram (RBD)
A Reliability Block Diagram (RBD) performs the system reliability and availability analyses on
large and complex systems using block diagrams to show network relationships. The structure of the
reliability block diagram def
Several computers in your company have recently been compromised. It was discovered
that your company network had been under attack for several months. However, these
attacks had not been previously detected. The attackers exploited both network and host