Bounds on the Lifetime Expectations of Series Systems with IFR Component Lifetimes

Bounds on the Lifetime Expectations of Series Systems with IFR Component Lifetimes

Blog Article

We consider series Ethernet Splitter systems built of components which have independent identically distributed (iid) lifetimes with an increasing failure rate (IFR).We determine sharp upper bounds for the expectations of the system lifetimes expressed in terms of the mean, and various scale units based on absolute central moments of component lifetimes.We further establish analogous bounds under a more stringent assumption that the component lifetimes have an increasing density (ID) function.We also indicate the relationship between the IFR property of the components and the generalized Connector Assembly Service Kit cumulative residual entropy of the series system lifetime.