|
Statistics 484 Industrial Engineering 463 |
Reliability Engineering |
Fall 2000 |
Time and Location:
6:00 - 7:15 TR; PH 0304Instructor:
Steven E. Rigdon, SL1314, (618) 650-2193, srigdon@siue.eduOffice Hours:
1:30-2:00 & 3:30-4:30 M; 5:00-5:30 T; 1:30-2:00 W; 5:00-5:30 R; 1:30-2:00 FPrerequisite:
STAT 380 or equivalentTextbook:
Reliability: Probabilistic Models and Statistical Methods, by Lawrence M. Leemis, New York: Prentice Hall
Grading Scheme:
|
|
Best 2 of 3 50-point exams @50 |
100 |
|
|
Homework 6-8 assignments @10 (drop lowest) |
50-70 |
|
|
Student Project |
40 |
|
|
Final Exam |
90-110 |
|
|
TOTAL |
300 |
Course Outline:
|
|
|
TUESDAY |
THURSDAY |
|
1 |
August |
22 (Chapter 1)Introduction Definitions of reliability - Case Study 1 Challenger - Overview of course |
24 (Chapter 2)Coherent Systems Analysis Structure Functions - Minimal path and cut sets |
|
2 |
August |
29 (Chapter 2)Coherent Systems Analysis Reliability functions - computing reliability from structure function |
31 (Other References)Coherent Systems Analysis Fault trees - Failure mode effects analysis (FMEA) |
|
3 |
September |
5 (Chapter 2)Coherent Systems Analysis Bounds on system reliability |
7 (Chapter 2) Coherent Systems Analysis Case Study 2 Nuclear Reactors - Review |
|
4 |
September |
12 (Chapter 2)E X A M #1 Covers Chapters 1 and 2, plus fault trees and FMEA |
13 (Chapter 3)Lifetime Distributions Review continuous random variables, pdf, cdf, moments. |
|
5 |
September |
19 (Chapter 3)Lifetime Distributions Discrete distributions - moments and fractiles |
21 (Chapter 3)Lifetime Distributions Hazard function - Work problems |
|
6 |
September |
26 (Chapter 4)Parametric Lifetime Models Exponential distribution |
28 (Chapter 4)Parametric Lifetime Models Weibull distribution - Gamma distribution |
|
7 |
October |
3 (Chapter 4)Parametric Lifetime Models Other distributions - Work problems |
5 (Chapter 4)Parametric Lifetime Models Work problems - review |
|
8 |
October |
10 (Chapter 4)E X A M # 2 Covers Chapters 3 & 4 |
12 (Chapter 7)Lifetime Data Analysis Review point estimation - Maximum likelihood estimation |
|
9 |
October |
17 (Chapter 7)Lifetime Data Analysis Interval estimation - likelihood theory |
17 (Chapter 7)Lifetime Data Analysis Asymptotic properties |
|
10 |
October |
24 (Chapter 7)Lifetime Data Analysis Censoring - exponential distribution |
26 (Chapter 7)Lifetime Data Analysis Censoring - Weibull distribution |
|
11 |
October/ November |
31 (Other References)Lifetime Data Analysis MIL STD 781 and other standards |
2 Other ReferencesLifetime Data Analysis MIL STD 781 and other standards |
|
12 |
November |
7 (Chapter 6)Repairable Systems Point processes - Poisson process |
9 (Chapter 6)Repairable Systems Nonhomogeneous Poisson process - power law process |
|
13 |
November |
14 (Chapter 6 and other sources)Repairable Systems Estimating parameters of power law process |
16 (Chapter 6 and other sources)Repairable Systems E X A M # 3 Covers Chapters 6 & 7 |
|
14 |
November |
28 Repairable Systems Birth and death processes Student Presentations |
30 Repairable Systems Availability Student Presentations |
|
15 |
December |
5 Review Student Presentations |
7 Review Student Presentations |
|
|
December |
12 6:30-8:10 |
|
Possible Topics for Student Reports:
Nonparametric goodness-of-fit tests
The power law model for repairable systems
Distribution classes (e.g., increasing failure rate, new-better-than-used, etc.)
Mixture distributions
Competing risks
Accelerated life tests
Proportional hazards models
Criteria for Grading Homework and Reports:
|
Correctness and Completeness Response is complete and correct. Arguments are valid and reasoning is correct. All statements are unambiguous and correct. |
/6 |
|
Organization and Development Structure of report is well thought out and organized according to the appropriate style. Uses supporting elements (Figures, Tables, Mathematica code, etc.) that are accurate and appropriate. Conclusions are prominent and follow from students reasoning. |
/2 |
|
Writing Style and Presentation Report uses appropriate words. Paragraphs flow smoothly. Report shows mastery of punctuation, capitalization, and spelling. Presentation of mathematics follows established conventions. |
/2 |
|
TOTAL |
/10 |
On-Line Materials
The syllabus and homework assignments can be found at http://www.siue.edu/~srigdon/ S484SyllabusF00.html and http://www.siue.edu/~srigdon/S484HWF00.html or from the links at http://www.siue.edu/~srigdon.