RELIABILITY EQUIVALENCE FACTORS OF A PARALLEL SYSTEM IN TWO-DIMENSIONAL DISTRIBUTION

Authors

  • M. A. El-Damcese Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
  • D. S. Ayoub Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Keywords:

Two-dimensional Reliability Modeling, Equivalence Factors, Parallel System, Hot Duplication, Cold Duplication, Reduction Method.

Abstract

This paper is devoted to obtain the two-dimensional reliability modeling equivalence factors of n independent and identical components parallel system. Bivariate Weibull model has been used by considering the failure behavior of components. We discuss two-dimensional failure modeling for a system where degradation is due to age and usage. Three different methods are used to improve the given system. The mean times to failures of the original and improved systems are obtained. Numerical studies are presented to compare the different reliability factors obtained.

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References

Baik, J., Murthy, D.N.P. and Jack, N. (2004). Two-dimensional failure

modeling with minimal repair, Naval Research Logistics, 51, p. 345-362.

Lu, J.C. and Bhattacharyya, G. K. (1990). Some new constructions of

bivariate Weibull models, Ann Inst Statist Math, 42, P. 543-549.

Rade, L (1989-1). Reliability Equivalence, Studies in Statistical Quality

Control and Reliability, Mathematical Statistics. Chalmers University of

Technology.

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Published

2011-12-05

How to Cite

El-Damcese, M. A. ., & Ayoub, D. S. . (2011). RELIABILITY EQUIVALENCE FACTORS OF A PARALLEL SYSTEM IN TWO-DIMENSIONAL DISTRIBUTION. Journal of Reliability and Statistical Studies, 4(02), 33–42. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21971

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