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Cellular reuse groups

Statement- A cellular system has a total of 110 reuse groups with 13 cells per group. There are 3 channels in each cell for users to make calls. The entire system has 2,760 Erlangs of traffic intensity for the entire system (evenly distributed among all cells in the full system). In the system, the average call is 3 minutes 15 seconds.

A- What is the blocking rate (B) in a cell, assuming this is a blocking system?

110/2760= 25.09 Erlang/reuse group
13*3=39 lines
Using the Erlang B chart
N=39 (number of lines/cell)
Erlangs=25.09
On chart B, 25.09 falls between 23.65 and 26.53 so 26.53 is used which is a blocking percentage of .5%
Is this correct?






B. What is the utilization for a single cell, assuming this is a blocking system?

P=25.09 Erlang / 39 = .64= 64%
Is this correct?






C. If calls were queued in the cell, what would be the average delay (in seconds) for all callers in a single cell?
Using the Erlang C chart for 26 Erlangs The average wait time for calls in queue is .077h
So assuming a 60 minute period of time I come up with:
.077 * 60M= 4.62 minutes.

Is this correct?
 
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