A group of N stations share a 56-kbps pure ALOHA channel. Each station outputs a 1000-bit frame on average once every 100 sec, even if the previous one has not yet been sent (e.g., the stations can buffer outgoing frames). What is the maximum value of N? (Hint: Aloha bandwidth efficiency is 18.4%)

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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1. A group of N stations share a 56-kbps pure ALOHA channel. Each station outputs a
1000-bit frame on average once every 100 sec, even if the previous one has not yet
been sent (e.g., the stations can buffer outgoing frames). What is the maximum value
of N? (Hint: Aloha bandwidth efficiency is 18.4%)
Compute usable bandwidth:
State the maximum value of N:
Solution:
Transcribed Image Text:1. A group of N stations share a 56-kbps pure ALOHA channel. Each station outputs a 1000-bit frame on average once every 100 sec, even if the previous one has not yet been sent (e.g., the stations can buffer outgoing frames). What is the maximum value of N? (Hint: Aloha bandwidth efficiency is 18.4%) Compute usable bandwidth: State the maximum value of N: Solution:
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