A study on a two unit parallel system with erlangian repair time

Authors

  • S. N. Singh Department of Mathematics - University of Transket
  • S. K. Singh School of Studies in Statistics - Ravishankar University

DOI:

https://doi.org/10.6092/issn.1973-2201/3498

Abstract

A two unit parallel system where in the failure rate of a unit is a constant and the repair time distribution is a two stage erlangian distribution is considered. Measures of system performance such as reliability, MTBF, system availability and steady state availability are derived. Also, a consistent asymptotically normal (CAN) estimator, a 100(1-α) % asymptotic confidence interval for the steady state availability of the system and the maximum likelihood estimator (MLE) of the system reliability are obtained.

References

P. CHANDRASHEKHAR, R. NATARAJAN (1994), Confidence limits for steady state availiability of a parallel system, “Micronelectron. Reliab.”, 34, No. 11, pp. 1847-1851.

D.R. COX (1970), “Renewal Theory”, Methuen & Co. Ltd.

ABU-SALIH MOHAMMED, N. ANAKERH NUHAN, SALAHUDDIN AHMED MOHAMMED (1990), Confidence limits for system steady state availiability, “Pak. J. Statis.”, 6(2)A, pp. 189-196.

S. OSAKI, T. NAKAGAWA (1976), Bibliography for reliability and availability of stochastic systems, “IEEE Transactions on Reliab.”, R25, pp. 284-287.

C. RADHAKRISHNA RAO (1974), Linear statistical inference and its application, First Wiley Eastern Reprint.

S. ZACKS (1972), Introduction to Reliability Analysis, Springer Verlag, New York.

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Published

2007-03-31

How to Cite

Singh, S. N., & Singh, S. K. (2007). A study on a two unit parallel system with erlangian repair time. Statistica, 67(1), 69–77. https://doi.org/10.6092/issn.1973-2201/3498

Issue

Vol. 67 No. 1 (2007)

Section

Articles

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Copyright (c) 2007 Statistica

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