Univariate and Multivariate Stochastic Orderings of Residual Lifetimes of Live Components in Sequential (n-r+1)-out-of-nSystems

Barmalzan, Ghobad and Haidari, Abedin and Balakrishnan, Narayanaswamy (2019) Univariate and Multivariate Stochastic Orderings of Residual Lifetimes of Live Components in Sequential (n-r+1)-out-of-nSystems. Technical Report. University of Zabol.

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Abstract

Introduction In modeling technical systems, it is usually assumed that the failure of any component does not affect the performance of the remaining components. In many situations, however, a component failure will likely induce more stress on the remaining components thus affecting their reliability. As an example, consider a car with an eight-cylinder engine. After the failure of the first cylinder, the load on the remaining seven cylinders increases and consequently their lifetimes may become shorter. Another example comes from the nuclear power industry, wherein components (such as motor-operated valves for cooling) are usually redundantly added to safeguard against core meltdown. If the failure of one back-up system affects other systems, then the chance of a core meltdown can increase greatly; see Kvam and Pena (2005). For these reasons, a flexible model, which accommodates some form of dependence among the lifetimes of components, would be better employed when modeling the reliability of such systems. Sequential order statistics (SOS), initiated by Kamps (1995) as an extension of the usual order statistics, are useful in describing the ordered lifetimes of components in a system in which the failure of a component may affect the performance of the remaining components.

Item Type:	Monograph (Technical Report)
Subjects:	T Technology > T Technology (General)
Depositing User:	Mrs najmeh khajeh
Date Deposited:	29 Jan 2019 08:18
Last Modified:	29 Jan 2019 08:18
URI:	http://eprints.uoz.ac.ir/id/eprint/2388

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