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Current Trends in Science and Technology

an Open Access Publication ISSN: 0976-9730 | 0976-9498

Maths

Reliability of Time Dependent Stress- Strength System for Mixture model

Dr. N. Swathi
Department of Mathematics, Kakatiya University, Warangal, T.S-506009
Online First: March 30, 2018
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Abstract

Reliability of many stochastic systems depends on uncertain stress and strength patterns that are time dependent. In industrial development it is essential to improve product reliability. In certain situations and with certain types of equipments time to failure may be a quantity of interest. System failure occurs due to certain types of stress acting on them. Stress and Strength are varying in many real life situations. In this article reliability analysis of time dependent stress strength system is carried out by considering each of stress variables are random fixed and strength variables are random independent. Here stress follows mixture of exponential distribution and strength follows exponential distribution. Using MLE the system reliability was calculated.

  Submitted
Mar 29, 2018
Published
Mar 30, 2018
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References

1. Kapur, K.C and L.R.Lamberson (1977) : Reliability in Engineering Design, Jho Wiley and Sons, Inc., New York. 2. T.S.Uma Maheswari (1994) : Reliability of single stress under n- strengths of life distribution, Micro Electronics Reliability, Vol. 34, No. 3, pp: 569-572, Pergamo Press, OXFORD 3. S.K.Sinha (1986): Reliability and Life Testing, Weiley Eastren, New Delhi. 4. William J.Tadjett (1978): Base estimation of Reliability for mixture of life distribution, SIAM journal of Applied Mathematics, Vol. 34, issue 4, pp: 692-703 5. T.S.Uma Maheswari (1993) : Reliability comparison of an n- cascade system with the addition of an n- strength system, Micro Electron Reliability, Vol. 33, No. 4, pp: 477-479, Pergamon Press, OXPORD.
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References

1. Kapur, K.C and L.R.Lamberson (1977) : Reliability in Engineering Design, Jho Wiley and Sons, Inc., New York.
2. T.S.Uma Maheswari (1994) : Reliability of single stress under n- strengths of life distribution, Micro Electronics Reliability, Vol. 34, No. 3, pp: 569-572, Pergamo Press, OXFORD
3. S.K.Sinha (1986): Reliability and Life Testing, Weiley Eastren, New Delhi.
4. William J.Tadjett (1978): Base estimation of Reliability for mixture of life distribution, SIAM journal of Applied Mathematics, Vol. 34, issue 4, pp: 692-703
5. T.S.Uma Maheswari (1993) : Reliability comparison of an n- cascade system with the addition of an n- strength system, Micro Electron Reliability, Vol. 33, No. 4, pp: 477-479, Pergamon Press, OXPORD.
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