ESTIMATION OF R=P(X>Y) FOR MULTICOMPONENT SYSTEMS USING EXPONENTIAL STRENGTH AND GAMMA STRESS DISTRIBUTIONS

Authors

  • Ramesh M. Mirajkar Dr. Babasaheb Ambedkar College, Peth Vadgaon- 416112, Dist. Kolhapur (M.S.), India.
  • Bhausaheb G. Kore Department of Statistics, Balwant College, Vita- 415311, Dist. Sangli (M.S.), India.

Keywords:

Stress-Strength Model, Standby System, System Reliability, Exponential Distribution, Gamma Distribution.

Abstract

n this paper, we present estimation of R=P(X>Y) , a measure of system reliability, for multicomponent systems with standby stress-strength model. The system survives if and only if the strength (X) is greater than the stress (Y), otherwise fails. The statistical model is formed for study of system reliability. Here, we assume that all the components are independent and follow the exponential strength and gamma stress distributions. The marginal and system reliability are computed for different stress-strength parameters. The variation in system reliability is shown graphically.

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References

Gogoi, J. and Borah, M. (2012), Estimation of Reliability for Multicomponent

Systems using Exponential, Gamma and Lindley Distributions. Journal of

Reliability and Statistical Studies, Vol. 5, Issue 1, p. 33-41.

Pandit, S. N. and Sriwastav, G. L. (1975). Studies in Cascade Reliability I,

IEEE Trans. on Reliability, 24(1), p. 53-56.

Rekha, A. and Shyam Sundar, T. (1997), Reliability of a cascade system with

Exponential Strength and Gamma Stress, Microelectronics Reliability, Volume

, Issue 4, p. 683-685.

Sandhya, K. and Umamaheswari, T. S. (2013). Reliability of a multicomponent

stress strength model with standby system using mixture of two exponential.

Journal of Reliability and Statistical Studies, Vol. 6, Issue 2, p. 105-113.

Srinivasa Rao, G., Kantam, R.R.L., Rosaiah, K. and Pratap Reddy, J. (2013).

Estimation of stress-strength reliability from inverse Rayleigh distribution,

Journal of Industrial and Production Engineering, Vol. 30, No. 4, p. 256-263.

Sriwastav, G.L. and Kakati, M.C. (1981). A Stress-Strength Model with

Redundancy, IAPQR Trans., 6, No.1, p. 21-27.

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Published

2014-12-01

How to Cite

Mirajkar, R. M. ., & Kore, B. G. . (2014). ESTIMATION OF R=P(X>Y) FOR MULTICOMPONENT SYSTEMS USING EXPONENTIAL STRENGTH AND GAMMA STRESS DISTRIBUTIONS. Journal of Reliability and Statistical Studies, 7(02), 77–86. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21147

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