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Behavior of P2P networks under churn (i.e., in the face of node join/departure) is one of the most fundamental issues of P2P research. Prior work typically uses a homogeneous Poisson process to model user arrivals, assumes that user lifetimes are exponentially distributed, and addresses only certain limited aspects of P2P performance under churn. Among the recent modeling studies, models each user as an alternating renewal process that is ON when the user is logged in and OFF otherwise.
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