CFP last date
22 April 2024
Reseach Article

Reliability and MTSF Evaluation of a Parallel-Series System using Weibull Failure Laws

by S. C. Malik, S. K. Chauhan
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 172 - Number 2
Year of Publication: 2017
Authors: S. C. Malik, S. K. Chauhan
10.5120/ijca2017915069

S. C. Malik, S. K. Chauhan . Reliability and MTSF Evaluation of a Parallel-Series System using Weibull Failure Laws. International Journal of Computer Applications. 172, 2 ( Aug 2017), 11-21. DOI=10.5120/ijca2017915069

@article{ 10.5120/ijca2017915069,
author = { S. C. Malik, S. K. Chauhan },
title = { Reliability and MTSF Evaluation of a Parallel-Series System using Weibull Failure Laws },
journal = { International Journal of Computer Applications },
issue_date = { Aug 2017 },
volume = { 172 },
number = { 2 },
month = { Aug },
year = { 2017 },
issn = { 0975-8887 },
pages = { 11-21 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume172/number2/28222-2017915069/ },
doi = { 10.5120/ijca2017915069 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:20:01.362015+05:30
%A S. C. Malik
%A S. K. Chauhan
%T Reliability and MTSF Evaluation of a Parallel-Series System using Weibull Failure Laws
%J International Journal of Computer Applications
%@ 0975-8887
%V 172
%N 2
%P 11-21
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Here, the expressions for reliability and mean time to system failure (MTSF) of a parallel-series system of order (m, n) are derived by considering Weibull distribution for failure time of the components. The results of these measures are also obtained for a particular case of Weibull distribution i.e. for Rayleigh distribution. The behaviour of reliability and MTSF has been observed for arbitrary values of the number of components, number of subsystems, operating time of the components, shape parameter(β) and failure rate of the components. The analytical study of the measures has been confined only to the system of order (5,5). The results are shown numerically and graphically for arbitrary values of the different parameters.

References
  1. Barlow, R.E. and Proschan, F. (1975): Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, Inc., New York, NY.
  2. Dhillon, B.S. and Singh, C. (1981): Engineering Reliability, John Wiley & Sons, New York, NY.
  3. Balagurusamy, E. (1984): Reliability Engineering, Tata McGraw Hill Publishing Co. Ltd., India.
  4. Srinath, L.S. (1985): Concept in Reliability Engineering, Affiliated East-West Press (P) Ltd.
  5. Rausand, M. & Hsyland, A. (2003):System Reliability Theory Models, Statistical Methods, and Applications, John Wiley & Sons, Inc., Publication.
  6. MI-Damcese, M.A. (2009): Reliability Equivalence Factors of a Series-Parallel System in Weibull Distribution, International Mathematical Forum, Vol. 4(9), pp. 941-951.
  7. Elsayed, A. (2012): Reliability Engineering, Wiley Series in Systems Engineering and Management.
  8. Mustafa, A. and EI-Faheem, A.A. (2012): Reliability Equivalence Factors of a General Parallel System with Mixture of Lifetimes, Applied Mathematical Science, Vol. 6(76), pp. 3769-3784.
  9. Dao, C.D., Zuo, M.J. and Pandey, M. (2014):Selective Maintenance for multi-state Series-Parallel systems under economic dependence, Reliab Eng Syst Saf, Vol (121), pp.240-249.
  10. Nandal, J., Chauhan, S.K. & Malik, S.C. (2015): Reliability and MTSF of a Series and Parallel systems, International Journal of Statistics and Reliability Engineering, Vol. 2(1), pp. 74-80.
  11. Chauhan, S.K. and Malik, S.C. (2016): Reliability Evaluation of a Series-Parallel and Parallel-Series systems for Arbitrary Values of the Parameters, International Journal of Statistics and Reliability Engineering, Vol. 3(1), pp.10-19.
  12. Chauhan, S.K. and Malik, S.C. (2016): Reliability Measures of a Series System with Weibull Failure Laws. International Journal of Statistics and Systems, Vol. 11(2), pp. 173-186.
  13. Chauhan, S.K. and Malik, S.C. (2017): Evaluation of Reliability and MTSF of a Parallel System with Weibull Failure Laws. Journal of Reliability and Statistical Studies, Vol. 10 (1), pp.137-148, 2017.
Index Terms

Computer Science
Information Sciences

Keywords

Parallel-Series System MTSF Reliability and Weibull Failure Laws