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Effect of dependence of components on the system performance. (English) Zbl 1216.90034
Summary: We generally think about engineering systems whose component life times are independent and consider its life length, probably the most meaningful effectiveness measure, to measure the system’s quality. When there is a question of selection of the best system from a collection of \(N\) systems, placed into service, it is quite common to collect the data on their life lengths (or times-to-failure) for the purpose of assessing the overall system performance. In the life-testing experiment, prior to deployment of the system or sale of the system, such data are very useful and critically analyzed. However, the assumption of independence of component lifetimes in the system is a very restrictive assumption, and the components may be dependent (in many ways) rather than being independent. The systems become more complex under the dependent set-up and the dependence of components is difficult to describe even for simple systems. It is essential to study the effect of dependence on system performance for better reliability design and its analysis. It is possible that we might underestimate or overestimate the system performance if we ignor the effect of dependence. In this paper, we consider different multi-component coherent systems, and make an attempt to explore the effect of dependence on the system performance.
90B25 Reliability, availability, maintenance, inspection in operations research
62P30 Applications of statistics in engineering and industry; control charts