Applications of quadrivariate exponential distribution to a three-unit warm standby system with dependent structure

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Authors

Yadavalli, Venkata S. Sarma
Vaidyanathan, V. S.
Chandrasekhar, P.
Abbas, S.

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Publisher

Taylor and Francis

Abstract

Two-unit warm standby systems have been elaborately dealt within the literature. However, the study of standby systems with more than two units, though very relevant in state-of-the-art practical situations, has received little attention because of mathematical intricacies involved in analyzing them. Also, such systems have been studied assuming: (i) the lifetime or repair time of the units to be exponential, or (ii) the life-time and repair time to be independent. The present contribution is an improvement in the state-of-the-art in the sense that three-unit warm standby system with dependent structure is shown to be capable of comprehensive analysis.

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Keywords

Multivariate central limit theorem, Slutsky theorem, Standby system, Steady state availability

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Citation

V. S. S. Yadavalli, V. S. Vaidyanathan, P. Chandrasekhar & S. Abbas (2017) Applications of quadrivariate exponential distribution to a three-unit warm standby system with dependent structure, Communications in Statistics - Theory and Methods, 46:14, 6782-6790, DOI: 10.1080/03610926.2015.1134576.