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.

 

15.00
Unit I: 
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

Notions 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: 

 

 

Books Recommended/Reference Books

 

1. Barlow, R.E. and Proschan, F.(1985): Statistical Theory of Reliability and Life Testing, Holt,Rinehart and Winston.

2. Lawless, J.F. (1982): Statistical Models and Methods of Life Time Data, John Wiley.

3. Bain, L.J. and Engelhardt, (1991): Statistical Analysis of Reliability and Life Testing Models, Marcel Dekker.

4. Nelson, W (1982): Applied Life Data Analysis, John Wiley.

5. Zacks, S.(2004): Reliability Theory, Springer.

6. Sinha, S.K.(1986): Reliability & Life Testing,Wiley

7. Cox, D.R. and Oakes, D (1984): Analysis of Survival Data, Chapman and hall , New York.

8. Kalbfleisch , J.D. & Prentice, R.L. (1980): The Statistical Analysis of Failure Time Data, John Wiley.

 

 

 

Academic Year: 
2018-2019
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