Course Archives Statistical Quality Control & Operations Research Unit
Course: Reliability, Maintainability And Safety I
Level: Postgraduate
Time: Currently not offered
Syllabus
Past Exams

Syllabus: Probability:
Concept and Definition: Sample space and events; basic properties with union and intersection of events; conditional probability Bayes rule.
Discrete random variables: Binomial, Geometric, Negative Binomial, Poisson; Poisson approximation to Binomial distribution; independent random variables and their sum; moments expectation, variance; Chebychevs inequality.
Continuous random variables: Distribution function and density function; Uniform, Normal, Exponential, Gamma, Weibull their moments; change of variable formula.
Jointly distributed random variables: Conditional distribution; correlation coefficient; order statistics; Central Limit Theorem.
Reliability, Maintainability and Safety:
Concept of Reliability: Definition of reliability and related measures; concept of failure; quality and reliability; importance of reliability.
Failure Patterns Probability Models: Hazard models bath tub curve; causes of early failure; failure time distributions: exponential, Weibull, normal, log normal, gamma; their properties and uses.
System Reliability Computation: Series, parallel, series parallel, bridge and r out of n configurations: reliability block diagram; determination of reliability through combinatorial methods of inspection, events space, cut set and tie set; strength and stress distribution safety factor and reliability.

Reference Texts:
1. Introduction to Probability Theory: By Hoel P.G., Port S.C. and Stone C.J. (1971), Houghton Mifflin Company.
2. An Introduction to Probability Theory and its Applications (Vol. I): By Feller W. (1957), John Wiley & Sons.
3. An Introduction to Probability Theory and its Applications (Vol. II): By Feller W. (1966), John Wiley & Sons.
4. A first Course in Probability: By Ross S.M. (2005), Prentice Hall.
5. Reliability in Engineering Design: By Kapur K.C. and Lamberson L.R. (1977), John Wiley & Sons, Inc.
6. Statistical Methods for Reliability Data: By Meeker W.Q. and L.A. Escobar L.A. (1998), John Wiley & Sons, Inc.
7. Statistical Models and Methods for Lifetime Data: By Lawless J.F. (1982), John Wiley & Sons, Inc.
8. System Reliability Theory: By Hoyland A. and Rausand M. (1994), John Wiley & Sons, Inc.

Top of the page

Past Exams
Midterm
 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf 20s.pdf 23.pdf
Semestral
 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf 21.pdf 22.pdf 23.pdf
Supplementary and Back Paper
Top of the page

[Indian Statistical Institute]