Reliability Analysis of a Redundant Cascade System by Using Markovian Approach

Nalabolu Swathi; Tallapureddy Sumathi Uma Maheswari

doi:10.4236/jamp.2015.37111

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JAMP> Vol.3 No.7, July 2015

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Reliability Analysis of a Redundant Cascade System by Using Markovian Approach

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DOI: 10.4236/jamp.2015.37111 2,643 Downloads 3,040 Views Citations

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Nalabolu Swathi, Tallapureddy Sumathi Uma Maheswari

Affiliation(s)

Department of Mathematics, Kakatiya University, Warangal, India.

ABSTRACT

In the present work, it is assumed that the n-components are arranged in the hierarchial order. The n-cascade system surviving with loss of m components by k number of attacks is studied; the general equation for the reliability is obtained for the above said system; and the system reliability is computed numerically for 6-cascade system for 2-number of attacks.

KEYWORDS

Cascade System, Redundancy, Reliability, Markov Process, k Attacks

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Swathi, N. and Maheswari, T. (2015) Reliability Analysis of a Redundant Cascade System by Using Markovian Approach. Journal of Applied Mathematics and Physics, 3, 911-920. doi: 10.4236/jamp.2015.37111.

References

[1]	Kapur, K.C. and Lamberson, L.R. (1977) Reliability in Engineering Design. John Wiley and Sons, Inc., New York.

[2]	Shoomans, M.L. (1968) Probabilistic Reliability an Engineering Approach. McGraw-Hill, New York.

[3]	Schatz, R., Shooman, M. and Shaw, L. (1974) Applications of Time-Dependent Stress-Strength Models of Non-Electrical and Electrical Systems. Proceedings of Reliability and Maintainability Symposium, January 1974, 540-547.

[4]	Narahari Pandit, S.N. and Sriwastav, G.L. (1975) Studies in Cascade Reliability—I. IEEE Transactions on Reliability, R-24, 53-57. http://dx.doi.org/10.1109/TR.1975.5215330

[5]	Tadjett, W.J. (1978) Base Estimation of Reliability for Mixture of Life Distribution. SIAM Journal of Applied Mathematics, 34, 692-703. http://dx.doi.org/10.1137/0134058

[6]	Raghavachar, A.C.N. and Pattabhi Ramacharyulu, N.C. (1983) Survival Function under Stress Attenuation in Cascade Reliability. OPSEARCH, 20, 190-207.

[7]	Raghavachar, A.C.N., Kesava Rao, B. and Narahari Pandit, S.N. (1987) The Reliability of a Cascade System with Normal Stress and Strength Distribution. ASR, 2, 49-54.

[8]	Sinha, S.K. (1986) Reliability and Life Testing. Weiley Eastren, New Delhi.

[9]	Uma Maheswari, T.S. (1993) Reliability of Cascade System with Normal Stress and Exponential Strength. Micro Electronics Reliability, 33, 927-936. http://dx.doi.org/10.1016/0026-2714(93)90289-b

[10]	Uma Maheswari, T.S. (1993) Reliability Comparison of an n-Cascade System with the Addition of an n-Strength System. Micro Electronics Reliability, 33, 477-479. http://dx.doi.org/10.1016/0026-2714(93)90313-N

[11]	Uma Maheswari, T.S. (1994) Reliability of Single Stress under n-Strengths of Life Distribution. Micro Electronics Reliability, 34, 569-572. http://dx.doi.org/10.1016/0026-2714(94)90097-3

[12]	Rekha, A. and Chenchu Raju, V.C. (1999) Cascade System Reliability with Rayleigh Distribution. Botswana Journal of Technology, 8, 14-19.

[13]	Maya, T.N. (2007) On a Finite Mixture of Pareto and Beta Distributions. Ph.D. Thesis Submitted to Cochin University of Science and Technology, Kerala.