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. Suppose host A begins to transmit the packet at time t= 0, at time t=dtrans, where is the last bit of the packet? b. Suppose dprop is greater than dtrans. At time t =dtrans, where is the first bit of the packet?

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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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. Suppose host A begins to transmit the packet at time t= 0, at time t=dtrans, where is the last bit of the packet?
b. Suppose dprop is greater than dtrans. At time t =dtrans, where is the first bit of the packet?

c. Suppose dprop is less than dtrans. At time t =dtrans, where is the first bit of the packet?
d. Suppose s = 2.5 x 108 , L=100 bits, and R=28 Kbps. Find the distance m so that dprop = dtrans.

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