Calculate total time (in milliseconds) required to send a file of size of 8000 Bytes. Assume RTT (round trip time) of 80 milli second on a link with bandwidth of 0.8 x106 bits /second and a packet size of 1000 Bytes where after sending each packet we must wait one RTT before sending the next packet.

Calculate total time (in milliseconds) required to send a file of size of 8000 Bytes. Assume RTT (round trip time) of 80 milli second on a link with bandwidth of 0.8 x106 bits /second and a packet size of 1000 Bytes where after sending each packet we must wait one RTT before sending the next 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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Calculate total time (in milliseconds) required to send a file of size of 8000 Bytes. Assume RTT (round trip time) of 80 milli second on a link with bandwidth of 0.8 x106bits /second and a packet size of 1000 Bytes where after sending each packet we must wait one RTT before sending the next packet.
1. Suppose two hosts, A and B, are separated by 30,000 kilometers and are connected by a direct link of R = 3 Mbps. Suppose the propagation speed over the link is 2.5 x 108 meters/sec. a. Calculate the bandwidth-delay product, R _ dprop. b. Consider sending a file of 900,000 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?
suppose two hosts, A and B, are separated by 20,000 kilometers and are connected by a direct link of R = 2 Mbps. Suppose the propagation speed over the link is 2.5 x 108 meters/sec. 1. Calculate the bandwidth-delay product, R x dprop. 2. Consider sending a file of 800, 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? 3. Provide an interpretation of the bandwidth-delay product?
Calculate the total time (in milliseconds) required to send a file of size of 8000 Bytes. Assume one-way propagation delay of 40 milli second on a link with bandwidth of 0.8 x106 Bytes/second and a packet size of 1000 Bytes where data packets can be sent continuously with no packet loss.
Calculate the total time required to transfer a 1000-KB file in the following cases, assuming an RTT of 50 ms, a packet size of 1 KBdata, and an initial 2 RTT handshake before data is sent: The bandwidth is 1.5 Mbps, and data packets can be sent continuously. The bandwidth is 1.5 Mbps, but after we finish sending eachdata packet we must wait one RTT before sending the next.
Calculate the total time required to transfer a 1.5-MB file in the following cases, assuming an RTT of 80 ms, a packet size of 1 KBdata, and an initial 2 RTT handshake before data is sent: The link allows infinitely fast transmit, but limits bandwidth such that only 20 packets can be sent per RTT. The bandwidth is infinite, but during the first RTT we can send one packet, during the second RTT we can send two packets, during the third we can send four, etc.
Suppose Host A wants to send a large file to Host B. The path from Host A to Host B has three links, of rates R1=500 kbps, R2=2 Mbps, and R3=1 Mbps a. Assuming no other traffic in the network, what is the throughput for the file transfer? b. Suppose the file is 4 million bytes. Dividing the file size by the throughput, roughly how long will it take to transfer the file to Host B? c. Repeat (a) and (b), but now with R reduced to 100 kbps.
The network referenced is shown in the picture below: Assume the network uses packet switching and 2 Kilobyte packets. Assume both L1 and L2 each have a propagation delay of 0.1 seconds. We are sending a 100 Kilobyte file. If L1 has infinite bandwidth, and L2 has a bandwidth of 1 Megabit (125 Kilobytes) per second, how long does it take to send the entire file? After the entire file is sent, a single acknowledgment is needed to say the file arrived, how long does the entire process take now (you can assume the ack has negligible size)? If a maximum of 10 packets can be sent per an RTT (this is the equivalent of a fixed window size of 10 packets), how long does it take to send the entire file? What if we start with a congestion window of 1 packet in slow start phase and no slow start threshold, How long to send the entire file now (Hint: This is similar to the previous question but with a variable window rather than fixed)? What if we start in congestion avoidance (linear growth)?
Calculate the total time required to transfer a 1000-KB file in the following cases, assuming an RTT of 50 ms, a packet size of 1 KBdata, and an initial 2 RTT handshake before data is sent: The bandwidth is "infinite," meaning that we take transmit time to be zero, and up to 20 packets can be sent per RTT. The bandwidth is infinite, and during the first RTT we cansend one packet, during the second RTT we can send two packets, during the third we can send four and so on.
Suppose Host A wants to send a large file to Host B. The path from Host A to Host B has three links, of rates R1 = 12.8 Mbps, R2 = 4000 kbps, and R3 = 2 Mbps.a. Assuming no other traffic in the network, what is the throughput for the file transfer?b. Suppose the file is 12 million bytes. Dividing the file size by the throughput, roughly how long will it take to transfer the file to Host B?c. Repeat (a) and (b), but now with R2 reduced to 500 kbps.
Suppose Host A wants to send a large 8 million bytes of file to Host B. The path from Host A to Host B has three links, of rates R1 = 1.5 Mbps, R2 = 2 Mbps, and R3 = 1 Mbps. Assuming no other traffic in the network. Roughly how long will it take to transfer the file to Host B?
1.4.12.2 End-to-end Delay. Consider again the network shown above. The links again have transmission rates of R1 = R2 = 100 Mbps (i.e., 100 x 106 bits per second), and each packet is 1 Mbit (106 bits) in size. Assume that the propagation delay is 1 msec per link. What is the end-to-end delay of a packet from when it first begins transmission at the sender, until it is received in full by the server at the end of the rightmost link. Assume store-and forward packet transmission. You can assume the queueing delay is zero. Answer choices: A. 2 x 106 msec b. 2.01 msec C. 1.1 msec D. 2.02 msec 1.4.12.3 Maximum Throughput. Consider again the network shown above. The links again have transmission rates of R1 = R2 = 100 Mbps Assume that the link R2 is fairly shared (as we've seen is done via TCP) between the two sessions. What is the maximum end-to-end throughput achieve by each session, assuming both sessions are sending at the maximum rate possible? Answer choices:…