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Computer Engineering
Mobile telecommunications requests arrive at a cellular site exchange center such that the density of requests follow the following pattern: Frequency 300 requests 700 requests 1,200 requests Average processing time 30 secs/request 10 secs/request 5 secs/request Each request is routed to one of the eight parallel processors in the cellsite tower, each of which has the same processor speed following an exponential distribution. Each processor finishes each request before it takes on another request. When all the processors are engaged with requests, then a "busy" signal is returned to any arriving request. a) What is the expected probability that a busy signal would be returned by the cellsite? b) A proposed expansion will double the capacity such that the cellsite could have the capacity of 16 parallel processors. If a service rate of 98% is the objective for traffic, how many of the processors are deemed "excess" capacity?

Mobile telecommunications requests arrive at a cellular site exchange center such that the density of requests follow the following pattern: Frequency 300 requests 700 requests 1,200 requests Average processing time 30 secs/request 10 secs/request 5 secs/request Each request is routed to one of the eight parallel processors in the cellsite tower, each of which has the same processor speed following an exponential distribution. Each processor finishes each request before it takes on another request. When all the processors are engaged with requests, then a "busy" signal is returned to any arriving request. a) What is the expected probability that a busy signal would be returned by the cellsite? b) A proposed expansion will double the capacity such that the cellsite could have the capacity of 16 parallel processors. If a service rate of 98% is the objective for traffic, how many of the processors are deemed "excess" capacity?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Mobile telecommunications requests arrive at a cellular site exchange center such that the density of requests follow the following pattern: Frequency 300 requests 700 requests 1,200 requests Average processing time 30 secs/request 10 secs/request 5 secs/request Each request is routed to one of the eight parallel processors in the cellsite tower, each of which has the same processor speed following an exponential distribution. Each processor finishes each request before it takes on another request. When all the processors are engaged with requests, then a "busy" signal is returned to any arriving request. a) What is the expected probability that a busy signal would be returned by the cellsite? b) A proposed expansion will double the capacity such that the cellsite could have the capacity of 16 parallel processors. If a service rate of 98% is the objective for traffic, how many of the processors are deemed "excess" capacity?
Transcribed Image Text:Mobile telecommunications requests arrive at a cellular site exchange center such that the density of requests follow the following pattern: Frequency 300 requests 700 requests 1,200 requests Average processing time 30 secs/request 10 secs/request 5 secs/request Each request is routed to one of the eight parallel processors in the cellsite tower, each of which has the same processor speed following an exponential distribution. Each processor finishes each request before it takes on another request. When all the processors are engaged with requests, then a "busy" signal is returned to any arriving request. a) What is the expected probability that a busy signal would be returned by the cellsite? b) A proposed expansion will double the capacity such that the cellsite could have the capacity of 16 parallel processors. If a service rate of 98% is the objective for traffic, how many of the processors are deemed "excess" capacity?
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