January 2023
Intermediate to advanced
272 pages
5h 3m
English
Content preview from Queues Applied to Telecoms
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14Chapter 6 Exercises
EXERCISE 6.1.– Infinite source traffic
We have an offered traffic A = 5 Erl, offered by sources of infinite size. The number N of busy sources follows a Poisson distribution with parameter A.
The probability that this traffic will be generated by only one source is: 
.
The probability that this traffic will be generated by five sources is: 
.
Five sources generate this traffic of 5 Erl for an average of one hour of activity. The arrival rate of requests is therefore five requests per hour, or λs = 1 request per hour per source (equal subdivision of the Poisson process). The traffic per source is equal to 
Erl, so the average duration of activity per source is equal to 
hour.
The duration of activity therefore follows an exponential distribution with parameter μs = ...
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