Assume that the propagation speed in a coaxial cable is 2.108 m/s a. Packets are transmitted using the ABP (alternate bit protocol) over a full-duplex 5-km coaxial cable with a 5 Mbps transmission rate. The packets and ACKS are 1500 bits long. The transmitter and receiver use a CRC chip and their processing time is negligible. How many packets are transmitted every second when there is no transmission error? b. Five transmission lines identical to the one discussed in a) are connected in series. A buffer is used at each connection between the links to store packets as required. How many packets will go through the five lines every second when there are no transmission errors? Now assume that a packet or its acknowledgement is corrupted on any given link with probability p. What is the new packet transmission rate through the five links? Comment. Assume the processing delays and queuing delays for both ends are negligible.

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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Assume that the propagation speed in a coaxial cable is 2 ∙108 m/s
a. Packets are transmitted using the ABP (alternate bit protocol) over a full-duplex 5-km
coaxial cable with a 5 Mbps transmission rate. The packets and ACKs are 1500 bits long. The
transmitter and receiver use a CRC chip and their processing time is negligible. How many
packets are transmitted every second when there is no transmission error?
b. Five transmission lines identical to the one discussed in a) are connected in series. A buffer
is used at each connection between the links to store packets as required. How many packets
will go through the five lines every second when there are no transmission errors? Now
assume that a packet or its acknowledgement is corrupted on any given link with probability
p. What is the new packet transmission rate through the five links? Comment.
Assume the processing delays and queuing delays for both ends are negligible.
Transcribed Image Text:Assume that the propagation speed in a coaxial cable is 2 ∙108 m/s a. Packets are transmitted using the ABP (alternate bit protocol) over a full-duplex 5-km coaxial cable with a 5 Mbps transmission rate. The packets and ACKs are 1500 bits long. The transmitter and receiver use a CRC chip and their processing time is negligible. How many packets are transmitted every second when there is no transmission error? b. Five transmission lines identical to the one discussed in a) are connected in series. A buffer is used at each connection between the links to store packets as required. How many packets will go through the five lines every second when there are no transmission errors? Now assume that a packet or its acknowledgement is corrupted on any given link with probability p. What is the new packet transmission rate through the five links? Comment. Assume the processing delays and queuing delays for both ends are negligible.
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