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

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

S C Malik and S K Chauhan. Reliability and MTSF Evaluation of a Parallel-Series System using Weibull Failure Laws. International Journal of Computer Applications 172(2):11-21, August 2017. BibTeX

@article{10.5120/ijca2017915069,
	author = {S. C. Malik and 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 = {August 2017},
	volume = {172},
	number = {2},
	month = {Aug},
	year = {2017},
	issn = {0975-8887},
	pages = {11-21},
	numpages = {11},
	url = {http://www.ijcaonline.org/archives/volume172/number2/28222-2017915069},
	doi = {10.5120/ijca2017915069},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, 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

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Keywords

Parallel-Series System, MTSF, Reliability and Weibull Failure Laws