22Apr 2017

A CASCADE RELIABILITY MODEL FOR EXPONENTIAL AND LINDLEY DISTRIBUTIONS.

  • Assistant Professor, Department of Statistics, Cotton College State University, Guwahati, Assam, India.
  • Assistant Professor, Department of Statistics, Assam University, Silchar, Assam, India.
Crossref Cited-by Linking logo
  • Abstract
  • Keywords
  • References
  • Cite This Article as
  • Corresponding Author

In the present paper we have considered two cases to obtain the system reliability of an n-cascade system. For the first case we consider one-parameter exponential strength and Lindley stress. Secondly, we consider Lindley strength and one-parameter exponential stress. Under this assumption the expression for reliability of an n-cascade system Rn is given. For both the cases all stress-strength are random variables with given density. Some numerical values of reliability have also been presented in tabular form for some selected values of the parameters.


  1. Bhowal, M. K.( 1999): A Study of Cascade Reliability and Other Interference ?Models, Ph.DThesis, Dibrugarh University.
  2. C, Borah. M, and Sriwastav G. L. (2010): Cascade System with Random Attenuation Factor,? IAPQR Transactions, 35(2), 81-90.
  3. Hanagal, D. D.( 2003): Estimation of System Reliability in Multicomponent Series Stress-Strength Models, Journal of the Indian Statistical Association, 41, 1-7.
  4. Kakati, M. C. (1983): Interference Theory and Reliability, Ph.D Thesis ?(Unpublished), Dibrugarh University, India.
  5. Kapur, C.?? and?? Lamberson,? L. R. (1977): Reliability in Engineering Design, ?John Wiley and Sons,?? New York.
  6. Pandit, S. N. N. and Sriwastav G. L.( 1975): Studies in Cascade Reliability I, IEEE on Reliability, 24(1), 53-56.
 

[C. Doloi and J. Gogoi. (2017); A CASCADE RELIABILITY MODEL FOR EXPONENTIAL AND LINDLEY DISTRIBUTIONS. Int. J. of Adv. Res. 5 (Apr). 43-54] (ISSN 2320-5407). www.journalijar.com


Dr Chumchum Doloi
Department of Statistics, Cotton College State University, Guwahati, Assam, India.

DOI:


Article DOI: 10.21474/IJAR01/3780      
DOI URL: http://dx.doi.org/10.21474/IJAR01/3780