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Problem1 You are in charge of designing a single-ported network router for an enterprise network. You have been told that on this type of network,

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Problem1 You are in charge of designing a single-ported network router for an enterprise network. You have been told that on this type of network, packets sizes are exponentially distributed with the average packet being of size 1350 bytes. Moreover, your router is meant to be deployed on a specific segment of the network, where it has been benchmarked that an average of 6500 packets per second are transmitted. Assume that for your router you plan to use standard Ethernet technology, which is able to process packets at 100 Mbps (i.e. 108 bits per second), answer the following: a) What assumptions do you make to reason about the system? b) How much memory in bytes is required for the router to operate without dropping packets most of the time? c) By how much a packet traversing your router will be delayed on average? d) The specs of the chip you plan to use to process packets state that active cooling (e.g. a fan) is required if it is expected that the chip is not idle for 3/5 or more of the time it is powered on. Do you need to incorporate a fan in your design? Pick up the phone: it's your boss telling you that he has reviewed your plans. He believes that the router you have designed will be a bottleneck for the whole enterprise. You use your ace in the sleeve: you propose to incorporate Gigabit Ethernet technology. In this case, your router will be processing packets at 1 Gbps e) What is going to be the speedup for the processing latency of the average packet compared to your previous proposal (i.e. standard Ethernet)? f) Since Gigabit Ethernet chips are expensive, can we reduce the amount of memory to hold pending packets in the router? If so, by how much? Problem1 You are in charge of designing a single-ported network router for an enterprise network. You have been told that on this type of network, packets sizes are exponentially distributed with the average packet being of size 1350 bytes. Moreover, your router is meant to be deployed on a specific segment of the network, where it has been benchmarked that an average of 6500 packets per second are transmitted. Assume that for your router you plan to use standard Ethernet technology, which is able to process packets at 100 Mbps (i.e. 108 bits per second), answer the following: a) What assumptions do you make to reason about the system? b) How much memory in bytes is required for the router to operate without dropping packets most of the time? c) By how much a packet traversing your router will be delayed on average? d) The specs of the chip you plan to use to process packets state that active cooling (e.g. a fan) is required if it is expected that the chip is not idle for 3/5 or more of the time it is powered on. Do you need to incorporate a fan in your design? Pick up the phone: it's your boss telling you that he has reviewed your plans. He believes that the router you have designed will be a bottleneck for the whole enterprise. You use your ace in the sleeve: you propose to incorporate Gigabit Ethernet technology. In this case, your router will be processing packets at 1 Gbps e) What is going to be the speedup for the processing latency of the average packet compared to your previous proposal (i.e. standard Ethernet)? f) Since Gigabit Ethernet chips are expensive, can we reduce the amount of memory to hold pending packets in the router? If so, by how much

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