Reliability for Multicomponent System using Pareto Distribution

P. Ashok; N. Swathi; M. Tirumala Devi and T. Sumathi Uma Maheswari

doi:https://doi.org/10.14445/22315373/IJMTT-V64P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 64 | Number 2 | Year 2018 | Article Id. IJMTT-V64P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V64P517

Reliability for Multicomponent System using Pareto Distribution

P. Ashok, N. Swathi, M. Tirumala Devi and T. Sumathi Uma Maheswari

Citation :

P. Ashok, N. Swathi, M. Tirumala Devi and T. Sumathi Uma Maheswari, "Reliability for Multicomponent System using Pareto Distribution," International Journal of Mathematics Trends and Technology (IJMTT), vol. 64, no. 2, pp. 109-114, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V64P517

Abstract

This paper deals with the stress-strength problem incorporating multi component standby system is considered. The reliability has been derived when strength and stress follow pareto distribution. The general expression for the reliability of a multi component standby system is obtained and the system reliability is computed numerically for different values of the stress and strength parameters.

Keywords

Pareto distribution,Reliability,Stress-strength model, Standby system.

References

[1] Kapur, K.C. and L.R Lamberson: “Reliability in Engineering Design” John Wiley and Sons, Inc. New York1968.
[2] Pandit. S.N.N and Sriwastav, G.L: “Studies in Cascade Reliability-I” IEEE Transactions on Reliability, Vol.R- 24. No. 1p. 53-57.1975.
[3] Sandhya, K. and Uma maheswari, T.S “Reliability of a Multicomponent Stress strength model with standby System using Mixture of two Exponential”. Journal of Reliability and Statistical Studies, Vole, 6. Issue 2, P.105- 113,2013.
[4] Reliability and Statistical Studies, Vole, 6. Issue 2, P.105- 11System using Mixture of two Exponential”. Journal of Reliability and Statistical Studies, Vole, 6. Issue 2, P.105- 11 3, 20.
[5] Maya, T. Nair. “On a finite mixture of Pareto and beta Distributions” Ph.D. Thesis submitted to Cochin University of Science and Technology.2007.