Course Archives Statistical Quality Control & Operations Research Unit
Course: Reliability, Maintainability And Safety I
Instructor: Kalyan K Chowdhury
Room: Annex room of PJA
Level: Postgraduate
Time: Currently 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.

Evaluation:
Midterm Exam 40 marks
Assignment --- marks
Final Exam 60 marks
Total 100 marks


Top of the page

Past Exams
Midterm
15.pdf 16.pdf 17.pdf 18.pdf
Semestral
15.pdf 16.pdf 17.pdf
Supplementary and Back Paper

Top of the page

[Indian Statistical Institute]