Improving series and parallel systems through mixtures of duplicated dependent components

Improving series and parallel systems through mixtures of duplicated dependent components

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Article ID: iaor201112767
Volume: 58
Issue: 5
Start Page Number: 411
End Page Number: 418
Publication Date: Aug 2011
Journal: Naval Research Logistics (NRL)
Authors: ,
Keywords: markov processes, simulation, stochastic processes, maintenance, repair & replacement
Abstract:

We discuss suitable conditions such that the lifetime of a series or of a parallel system formed by two components having nonindependent lifetimes may be stochastically improved by replacing the lifetimes of each of the components by an independent mixture of the individual components' lifetimes. We also characterize the classes of bivariate distributions where this phenomenon arises through a new weak dependence notion.

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