Numerical problems on Switching Consider the network in figure below where many servers and clients exist,...
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Numerical problems on Switching Consider the network in figure below where many servers and clients exist, and routers have many incoming and outgoing links. The transmission rates and distances of each link are given in the figure. a) Circuit switching: ii. i. How many users or circuits can be supported by Link 2 if each circuit is allocated 0.5 Mbps? What is the bottleneck or maximum throughput (in the presence of circuits in part i) when Server_1 is transmitting to Client_1 only? iii. What will be the transmission delay when Server 1 transmits a packet of length 2 Mbits? b) Packet switching: Server_1 iv. Will there be any queuing delay on Router_2 if only 1 or 2 clients are uploading at 1 Mbps each to some server at any time? Why? v. If each client transmits only 10% of the time, what is the probability that a given user is transmitting? vi. What is the maximum throughput when only Server 1 is transmitting packets to Client_1? vii. The company has registered N users. What is the probability that exactly K users are transmitting at the same time? (K <= N; always). viii. Assume that Router_1 receives 1.5 packets of 1 Mbits in each second from servers. What is the traffic intensity on Link_2? ix. For above traffic intensity (in part viii), will there be any queuing delay on Router_1? Why? x. What will be the end-to-end delay when Server_1 sends a 1 Mbits packet to Client 1 (assume processing delay of 100 milliseconds at each node - i.e., server and routers and queuing delay of 200 milliseconds at each router? Link 1 R1-2Mbps d1-2km Router 1 Link 2 R2-4Mbps d2-4km Router_2 Link 3 R3-1Mbps d3-1Km Client 1 Numerical problems on Switching Consider the network in figure below where many servers and clients exist, and routers have many incoming and outgoing links. The transmission rates and distances of each link are given in the figure. a) Circuit switching: ii. i. How many users or circuits can be supported by Link 2 if each circuit is allocated 0.5 Mbps? What is the bottleneck or maximum throughput (in the presence of circuits in part i) when Server_1 is transmitting to Client_1 only? iii. What will be the transmission delay when Server 1 transmits a packet of length 2 Mbits? b) Packet switching: Server_1 iv. Will there be any queuing delay on Router_2 if only 1 or 2 clients are uploading at 1 Mbps each to some server at any time? Why? v. If each client transmits only 10% of the time, what is the probability that a given user is transmitting? vi. What is the maximum throughput when only Server 1 is transmitting packets to Client_1? vii. The company has registered N users. What is the probability that exactly K users are transmitting at the same time? (K <= N; always). viii. Assume that Router_1 receives 1.5 packets of 1 Mbits in each second from servers. What is the traffic intensity on Link_2? ix. For above traffic intensity (in part viii), will there be any queuing delay on Router_1? Why? x. What will be the end-to-end delay when Server_1 sends a 1 Mbits packet to Client 1 (assume processing delay of 100 milliseconds at each node - i.e., server and routers and queuing delay of 200 milliseconds at each router? Link 1 R1-2Mbps d1-2km Router 1 Link 2 R2-4Mbps d2-4km Router_2 Link 3 R3-1Mbps d3-1Km Client 1
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