e. Suppose dprop is greater than dtrans. At time t = durans, where is the first bit of the packet? f. Suppose dprop is less than durans. At time t = dtrans, where is the first bit of the packet? = g. Suppose s = 2.5 108, L = 120 bits, and R Im so that dron equals dtrans. 56 kbps. Find the distance

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.10: Exponential Queues In Series And Open Queuing Networks
Problem 8P
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This elementary problem begins to explore propagation delay and transmis-
sion 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 end-
to-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
the packet?
g. Suppose s
2.5 108, L
m so that dprop equals trans
drans. At time t = durans, where is the first bit of
=
120 bits, and R = 56 kbps. Find the distance
Transcribed Image Text:This elementary problem begins to explore propagation delay and transmis- sion 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 end- to-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 the packet? g. Suppose s 2.5 108, L m so that dprop equals trans drans. At time t = durans, where is the first bit of = 120 bits, and R = 56 kbps. Find the distance
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