Example 2.7 A hexagonal cell within a 4-cell system has a radius of 1.387 km. A total of 60 channels are used within the entire system. If the load per user is 0.029 Erlangs, and 2=call/hour, compute the following for an Erlang C system that has a 5% probability of a 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 10s? (c) What is the probability that a call will be delayed for more than 10 seconds?
Example 2.7 A hexagonal cell within a 4-cell system has a radius of 1.387 km. A total of 60 channels are used within the entire system. If the load per user is 0.029 Erlangs, and 2=call/hour, compute the following for an Erlang C system that has a 5% probability of a 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 10s? (c) What is the probability that a call will be delayed for more than 10 seconds?
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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![Ехample 2.7
A hexagonal cell within a 4-cell system has a radius of 1.387 km. A total of 60 channels
are used within the entire system. If the load per user is 0.029 Erlangs, and 2= call/hour,
compute the following for an Erlang C system that has a 5% probability of a 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 10s?
(c) What is the probability that a call will be delayed for more than 10 seconds?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F801a564c-5204-4207-b261-79f50fc99d6d%2F2f4a1031-369a-461c-bdc3-385806cb64c1%2Fv641f2e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ехample 2.7
A hexagonal cell within a 4-cell system has a radius of 1.387 km. A total of 60 channels
are used within the entire system. If the load per user is 0.029 Erlangs, and 2= call/hour,
compute the following for an Erlang C system that has a 5% probability of a 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 10s?
(c) What is the probability that a call will be delayed for more than 10 seconds?
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