Important aspects to analyze are: (1) the average throughtput of the system, measured as a ratio between the capacity of the network and the eﬀective bandwidth that the overlay provides, (2) the average start-up/swiching delay (the time interval from when one stream is selected by a user util the playback starts) and (3) the average playback time lags between peers due to the deployment of the buﬀering mechanisms. This study should be performed depending of the cluster size.
This section presents a analitical model of the P2PSP using the stochastic diﬀerential equation approach [R. Brockett, “Stochastic control,” Harvard University, lecure notes.].
Let us make the same ﬂuid assumption as in , that is let the content from the server be inﬁnitely divisible and the ﬁle be inﬁnitely large so that the server continuously send content to the peers.