Suppose two hosts, A and B, are separated by 10,000 kilometers and are connected by a direct link of R = 1 Mbps. Suppose the propagation speed over the link is 2.5 × 108 meters/sec. a. What is the propagation delay dprop in seconds? b. Consider sending a file of 400,000 bits from Host A to Host B. Suppose the file is sent continuously as one large message. What is the maximum number of bits that will be in the link at any given time? c. Suppose we downgrade our link to a capacity of R = 500 kbps. Let x denote the size of a digital photo (selfie) being sent over the link. Every minute, the user on host A takes a selfie and sends it to host B. What is the minimum value of x for the link to be continuously transmitting? Express your answer in Megabits

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
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Suppose two hosts, A and B, are separated by 10,000 kilometers and are connected by a
direct link of R = 1 Mbps. Suppose the propagation speed over the link is 2.5 × 108
meters/sec.
a. What is the propagation delay dprop in seconds?
b. Consider sending a file of 400,000 bits from Host A to Host B. Suppose the file is
sent continuously as one large message. What is the maximum number of bits
that will be in the link at any given time?
c. Suppose we downgrade our link to a capacity of R = 500 kbps. Let x denote the
size of a digital photo (selfie) being sent over the link. Every minute, the user on
host A takes a selfie and sends it to host B. What is the minimum value of x for
the link to be continuously transmitting? Express your answer in Megabits
Transcribed Image Text:Suppose two hosts, A and B, are separated by 10,000 kilometers and are connected by a direct link of R = 1 Mbps. Suppose the propagation speed over the link is 2.5 × 108 meters/sec. a. What is the propagation delay dprop in seconds? b. Consider sending a file of 400,000 bits from Host A to Host B. Suppose the file is sent continuously as one large message. What is the maximum number of bits that will be in the link at any given time? c. Suppose we downgrade our link to a capacity of R = 500 kbps. Let x denote the size of a digital photo (selfie) being sent over the link. Every minute, the user on host A takes a selfie and sends it to host B. What is the minimum value of x for the link to be continuously transmitting? Express your answer in Megabits
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