Applications of quadrivariate exponential distribution to a three-unit warm standby system with dependent structure
Loading...
Date
Authors
Yadavalli, Venkata S. Sarma
Vaidyanathan, V. S.
Chandrasekhar, P.
Abbas, S.
Journal Title
Journal ISSN
Volume Title
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.
Description
Keywords
Multivariate central limit theorem, Slutsky theorem, Standby system, Steady state availability
Sustainable Development Goals
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.