Statistics 484 Industrial Engineering 463 
Reliability Engineering 
Fall 2000 
Time and Location: 6:00  7:15 TR; PH 0304
Instructor: Steven E. Rigdon, SL1314, (618) 6502193, srigdon@siue.edu
Office Hours: 1:302:00 & 3:304:30 M; 5:005:30 T; 1:302:00 W; 5:005:30 R; 1:302:00 F
Prerequisite: STAT 380 or equivalent
Textbook: Reliability: Probabilistic Models and Statistical Methods, by Lawrence M. Leemis, New York: Prentice Hall
Grading Scheme:

Best 2 of 3 50point exams @50 
100 

Homework 68 assignments @10 (drop lowest) 
5070 

Student Project 
40 

Final Exam 
90110 

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 References Lifetime 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 6:308:10 

Possible Topics for Student Reports:
Nonparametric goodnessoffit tests
The power law model for repairable systems
Distribution classes (e.g., increasing failure rate, newbetterthanused, 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 
OnLine 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.