Question 1) (22 points) Consider the following network architecture: Hosts A and B are interconnected by a link that contains three hubs (repeaters). The total distance between hosts A and B is 1.5 km. The link transmission bitrate is 10 Mbps and the signal propagation speed is 2 x 108 m/s. Each repeater inserts a 30 bit delay. Host A has one packet of 2000 bits (including all headers and preambles) to send to B. Similarly, Host B has one packet of 2000 bits (including all headers and preambles) to send to A. Both hosts attempt to transmit at time t = 0. The network operates with the CSMA/CD protocol with backoff intervals of multiples of 512 bits. After the first collision, A draws K = 0 and B draws K = 1 in the exponential backoff protocol. The jam signal is ignored in the protocol. a) What is the one-way propagation delay (including repeater delays) between B and A in seconds? b) At what time in seconds is B’s packet completely delivered to A? A labelled space-time diagram is required for full credit. c) Now suppose that only B has a packet to send and that the repeaters are replaced with switches (without cut-through switching functionality). Suppose that each switch has a 30 bit processing delay in addition to a store-and-forward delay. At what time in seconds is B’s packet delivered to A? A labelled space-time diagram is required for full credit.
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