Consider an elastic data traffic on a link between two routers, so called at the flow level The traffic consists of TCP file transfers that share the capacity of the link and that arrive at an intensity (rate) Let C be the capacity of the link and L the average flow (file) size The speed of an individual TCP flow can be limited by the flow's own access link in addition to the shared link Let r be the access rate of a single flow and assume that r C 2r In the model, the service speed received by a single flow is min r, C n , where n describes the number of running flows Let the process X(t) be the number of running flows at time t It is a Markov process if we assume that new flows arrive according to a Poisson process and the sizes of the flows are independent and exponentially distributed a) Draw the state transition diagram of the process X(t) b) Solve the equilibrium distribution of the process Is there a condition for the existence of an equilibrium distribution c) Assume that 100 flows s, L 1 Mb, C 150 Mbps, and r 90 Mbps On average, how many flows does E X have in the system What is throughput Your answer should be E X 2 31

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Question: Consider an elastic data traffic on a link between two routers, so-called at the flow level. The traffic consists of TCP file transfers that

Consider an elastic data traffic on a link between two routers, so-called

Consider an elastic data traffic on a link between two routers, so-called at the flow level. The traffic consists of TCP file transfers that share the capacity of the link and that arrive at an intensity (rate) . Let C be the capacity of the link and L the average flow (file) size. The speed of an individual TCP flow can be limited by the flow's own access link in addition to the shared link. Let r be the access rate of a single flow and assume that r < C

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