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A. Consider the following packet-switched network with two hosts (A and B) connected by three physical links with two store-and-forward switches in between (as shown below). Host A 500 km 10 Mb/s Host A 4000 km 500 km 10 Mb/s 10 Mb/s This network supports a packet size of 1044 bytes (payload-1024 bytes and header - 20 bytes) and the signal propagation speed is 2 x 108 m/s. Determine how long it will take to transfer a file of size 102400 bytes across this network. Ignore the switch's processing delay and assume no other traffics is using the network. Also assume that the packets can be sent continuously (i.e. in back-to-back) and reliability is not a concern so acknowledgment will not be needed B. To reduce the cost, the engineer decides to use a slower link (2 Mb/s) to connect the two switches (as shown below). 500 km 4000 km 10 Mb/s 2 Mb/s Host B 500 km 10 Mb/s Host B As in part (a), this network supports a packet size of 1044 bytes. Ignore the switch's processing delay and assume no other traffics is using the network. Further assume that the switches have a sufficient amount of buffers to temporarily store the packets without packet overflow. • Use the bottleneck throughput model (and ignore propagation delay), estimate how long it will take to transfer the same file across this network. • Similar to part (a), use the performance model to determine how long it will take to transfer the same file across this network.

A. Consider the following packet-switched network with two hosts (A and B) connected by three physical links with two store-and-forward switches in between (as shown below). Host A 500 km 10 Mb/s Host A 4000 km 500 km 10 Mb/s 10 Mb/s This network supports a packet size of 1044 bytes (payload-1024 bytes and header - 20 bytes) and the signal propagation speed is 2 x 108 m/s. Determine how long it will take to transfer a file of size 102400 bytes across this network. Ignore the switch's processing delay and assume no other traffics is using the network. Also assume that the packets can be sent continuously (i.e. in back-to-back) and reliability is not a concern so acknowledgment will not be needed B. To reduce the cost, the engineer decides to use a slower link (2 Mb/s) to connect the two switches (as shown below). 500 km 4000 km 10 Mb/s 2 Mb/s Host B 500 km 10 Mb/s Host B As in part (a), this network supports a packet size of 1044 bytes. Ignore the switch's processing delay and assume no other traffics is using the network. Further assume that the switches have a sufficient amount of buffers to temporarily store the packets without packet overflow. • Use the bottleneck throughput model (and ignore propagation delay), estimate how long it will take to transfer the same file across this network. • Similar to part (a), use the performance model to determine how long it will take to transfer the same file across this network.

Operations Research : Applications and Algorithms
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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A. Consider the following packet-switched network with two hosts (A and B) connected by three physical links with two store-and-forward switches in between (as shown below). Host A 500 km 10 Mb/s Host A 4000 km 500 km 10 Mb/s 10 Mb/s This network supports a packet size of 1044 bytes (payload-1024 bytes and header - 20 bytes) and the signal propagation speed is 2 x 108 m/s. Determine how long it will take to transfer a file of size 102400 bytes across this network. Ignore the switch's processing delay and assume no other traffics is using the network. Also assume that the packets can be sent continuously (i.e. in back-to-back) and reliability is not a concern so acknowledgment will not be needed B. To reduce the cost, the engineer decides to use a slower link (2 Mb/s) to connect the two switches (as shown below). 500 km 4000 km 10 Mb/s 2 Mb/s Host B 500 km 10 Mb/s Host B As in part (a), this network supports a packet size of 1044 bytes. Ignore the switch's processing delay and assume no other traffics is using the network. Further assume that the switches have a sufficient amount of buffers to temporarily store the packets without packet overflow. Use the bottleneck throughput model (and ignore propagation delay), estimate how long it will take to transfer the same file across this network. Similar to part (a), use the performance model to determine how long it will take to transfer the same file across this network.
Transcribed Image Text:A. Consider the following packet-switched network with two hosts (A and B) connected by three physical links with two store-and-forward switches in between (as shown below). Host A 500 km 10 Mb/s Host A 4000 km 500 km 10 Mb/s 10 Mb/s This network supports a packet size of 1044 bytes (payload-1024 bytes and header - 20 bytes) and the signal propagation speed is 2 x 108 m/s. Determine how long it will take to transfer a file of size 102400 bytes across this network. Ignore the switch's processing delay and assume no other traffics is using the network. Also assume that the packets can be sent continuously (i.e. in back-to-back) and reliability is not a concern so acknowledgment will not be needed B. To reduce the cost, the engineer decides to use a slower link (2 Mb/s) to connect the two switches (as shown below). 500 km 4000 km 10 Mb/s 2 Mb/s Host B 500 km 10 Mb/s Host B As in part (a), this network supports a packet size of 1044 bytes. Ignore the switch's processing delay and assume no other traffics is using the network. Further assume that the switches have a sufficient amount of buffers to temporarily store the packets without packet overflow. Use the bottleneck throughput model (and ignore propagation delay), estimate how long it will take to transfer the same file across this network. Similar to part (a), use the performance model to determine how long it will take to transfer the same file across this network.
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