A hexagonal cell within a seven-cell system has a radius of 1.52 km. A total of 140 channels are used within the entire system. If the load per user is 0.028 Erlangs, and 1 = 2 call/hour, compute the following for an Erlang C system that has an 8% probability of delayed call: a) How many users per square kilometer will this system support? b) What is the probability that a delayed call will have to wait for more than 9 sec?
A hexagonal cell within a seven-cell system has a radius of 1.52 km. A total of 140 channels are used within the entire system. If the load per user is 0.028 Erlangs, and 1 = 2 call/hour, compute the following for an Erlang C system that has an 8% probability of delayed call: a) How many users per square kilometer will this system support? b) What is the probability that a delayed call will have to wait for more than 9 sec?
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.11: The M/g/s/gd/s/∞ System (blocked Customers Cleared)
Problem 4P
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![A hexagonal cell within a seven-cell system has a radius of 1.52 km. A total of 140 channels
are used within the entire system. If the load per user is 0.028 Erlangs, and 2 = 2 call/hour,
compute the following for an Erlang C system that has an 8% probability of delayed call:
a) How many users per square kilometer will this system support?
b) What is the probability that a delayed call will have to wait for more than 9 sec?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43728c02-2e70-455f-a063-b725ae479904%2F0ed73fbb-80de-41d7-bcb1-4257e50ee1b3%2Fraz4v1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A hexagonal cell within a seven-cell system has a radius of 1.52 km. A total of 140 channels
are used within the entire system. If the load per user is 0.028 Erlangs, and 2 = 2 call/hour,
compute the following for an Erlang C system that has an 8% probability of delayed call:
a) How many users per square kilometer will this system support?
b) What is the probability that a delayed call will have to wait for more than 9 sec?
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