Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-80889120190321On the Stochastic Properties of Unfailed Components in Used NetworksOn the Stochastic Properties of Unfailed Components in Used Networks71971424010.22055/jamm.2019.24420.1526FASomayehZarezadehDepartment of Statistics, Shiraz University, Shiraz, IranJournal Article20171218We consider a two-state network consists of n components and assume that the failure of components occur according to a nonhomogeneous Poisson process. Some networks have the property that after the failure, some of the components remain unfailed. The remaining unfailed components might be resumed from the network and be used again in a new network. In this paper, we explore some aging properties and stochastic comparisons of the residual lifetime of remaining unfailed components of the failed network.We consider a two-state network consists of n components and assume that the failure of components occur according to a nonhomogeneous Poisson process. Some networks have the property that after the failure, some of the components remain unfailed. The remaining unfailed components might be resumed from the network and be used again in a new network. In this paper, we explore some aging properties and stochastic comparisons of the residual lifetime of remaining unfailed components of the failed network.https://jamm.scu.ac.ir/article_14240_ed9a6a218e837c116bb7edb5d8b7b689.pdf