RELIABILITY OF A MULTI COMPONENT STRESS STRENGTH MODEL WITH STANDBY SYSTEM USING MIXTURE OF TWO EXPONENTIAL DISTRIBUTIONS
Keywords:
Exponential Distribution, Laplace Transform, Mixture Of Two Exponential Distributions, Standby System, Reliability, Stress-Strength Model.Abstract
In the present work, a multi component standby system of stress-strength model is considered to find the reliability. Reliability has been derived when stress-strength follow exponential distribution and mixture of two exponential distributions. 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. The reliability of a multi component standby system has been developed when the initial stress distribution is arbitrary
Downloads
References
Doloi. C. and Borah. M. (2012). Cascade System with Mixture of
Distributions, International Journal of Statistics and Systems, Vol.7, Issue 1, p.
-24.
Gogoi, J. and Borah, M. (2012). Estimation of reliability for multi component
systems using exponential, gamma and lindley stress-strength distributions,
Journal of Reliability and Statistical Studies, Vol. 5, Issue 1, p.33-41.
Kapur, K.C. and Lamberson, L.R. (1997). Reliability in Engineering Design,
John Wiley and Sons, Inc., U.K.
Maya, T. Nair (2007). On a finite mixture of Pareto and beta distributions,
Ph.D Thesis submitted to Cochin University of Science and Technology.
Pandit, S.N.N and Sriwastav, G.L. (1975). Studies in Cascade Reliability–I,
IEEE Transactions on Reliability, Vol.R-24, No.1, p.53-57.
Raghava char, A.C.N., Kesava Rao, B. and Pandit, S.N.N. (1987). The
Reliability of a cascade system with Normal Stress and Strength distribution,
ASR.Vol.2, p.49-54.
Sinha, S.K. (1986). Reliability and Life Testing, Wiley Eastern Limited, New
Delhi.
