This elementary problem begins to explore propagation delay and transmission delay, two central concepts in data networking. Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation speed along the link is s meters/sec. Host A is to send a packet of size L bits to Host B. a. Express the propagation delay, dprop, in terms of m and s. b. Determine the transmission time of the packet, dtrans, in terms of L and R. c. Ignoring processing and queuing delays, obtain an expression for the endto- end delay.
This elementary problem begins to explore propagation delay and transmission delay, two
central concepts in data networking. Consider two hosts, A and B, connected by a single link of
rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation
speed along the link is s meters/sec. Host A is to send a packet of size L bits to Host B.
a. Express the propagation delay, dprop, in terms of m and s.
b. Determine the transmission time of the packet, dtrans, in terms of L
and R.
c. Ignoring processing and queuing delays, obtain an expression for the endto-
end delay.
d. Suppose Host A begins to transmit the packet at time t = 0. At time t = dtrans,
where is the last bit of the packet?
e. Suppose dprop is greater than dtrans. At time t = dtrans, where is the first bit of
the packet?
f. Suppose dprop is less than dtrans. At time t = dtrans, where is the first bit of
the packet?
g. Suppose s = 2.5 · 108, L = 120 bits, and R = 56 kbps. Find the distance m
so that dprop equals dtrans.
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