Reliability Analysis

Paper Code: 
STT 324(C)
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
Objective: 

This paper aims at teaching the students to deal with reliability and replacement policies of statistical data.

 

Students will able to

Course

Learning outcomes (at course level

Learning and teaching strategies

Assessment Strategies

 

Paper Code

Paper Title

STT-324(C)

Reliability Analysis

CO 74: Deal with the reliability concepts in the real world

 

CO 75: Analyze the data of various life tables.

 

CO 76: Find out which policy has to be framed on the given data and also identify the reliability of that policy.

 

CO 77: Characterize probability models and function of random variables based on single & multiples random variables.

 

Approach in teaching:

Interactive Lectures,

Group Discussion,

Classroom Assignment

Problem Solving Sessions

 

Learning activities for the students:

Assignments

Seminar

Presentation

Subject based  Activities

Classroom Quiz

Assignments

Class Test

Individual Presentation

 

15.00
Unit I: 
Reliability:

Concepts and measures, components and systems, coherent systems, reliability of coherent systems; cuts and paths, modular decomposition, bounds on system reliability, structural and reliability importance of components.

 

15.00
Unit II: 
UNIT II

Life distributions, reliability function; hazard rate; common life distributions-exponential, Weibull, Gamma etc. Estimation of parameters and tests in these models.

 

15.00
Unit III: 
UNIT III

Notations of ageing, IFR, IFRA, NBU, DMRL and NBUE classes and their duals, loss of memory property of the exponential distribution; closures or these classes under formation of coherent systems, convolutions and mixtures.

 

15.00
Unit IV: 
UNIT IV

Univariate shock models and life distributions arising out of them; bivariate shock models; common bivariate exponential distributions and their properties. Reliability estimation based on failure times in variously censored life tests and in tests with replacement of failed items stress-strength reliability and its estimation.

 

 

15.00
Unit V: 
UNIT V

Maintenance and replacement policies, availability of repairable systems, modeling of a repairable system by a non-homogeneous Poisson process. Reliability growth models, probability plotting techniques, Hollander-Proschan and Deshpande tests for exponentiality; tests for HPP vs. NHPP with repairable systems. Basic ideas of accelerated life testing.

 

Essential Readings: 
  • Barlow, R.E. and Proschan, F.(1985): Statistical Theory of Reliability and Life Testing, Holt,Rinehart and Winston.
  • Lawless, J.F. (1982): Statistical Models and Methods of Life Time Data, John Wiley.
  • Bain, L.J. and Engelhardt, (1991): Statistical Analysis of Reliability and Life Testing Models, Marcel Dekker, sixth edition.
  • Nelson, W (2003): Applied Life Data Analysis, John Wiley.
  • Zacks, S.(2004): Reliability Theory, Springer.
  • Sinha, S.K.(1986): Reliability & Life Testing,Wiley
  • Cox, D.R. and Oakes, D (1984): Analysis of Survival Data, Chapman and hall , New York.
  • Kalbfleisch , J.D. & Prentice, R.L. (2002): The Statistical Analysis of Failure Time Data, John Wiley.

 

Academic Year: 
2021-2022
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