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The(n,f,k): F(G)system consists ofn components and the system fails(works)if and only if there are at least f failed(working)components or at least k consecutive failed(working)components.These system models can be used in electronic equipment,automatic payment systems in banks,and furnace systems.In this paper we introduce and study the(n,f,k):F and(n,f,k): G systems consisting of weighted components.Recursive equations are presented for reliability evaluation of these new models.We also provide some conditions on the weights to represent weighted-(n,f,k)systems as usual(n,f,k)systems.