Question: queueing theory question: There is a switching system which connects 10,000 subscribers to trunk lines. All calls from subscribers are destined to trunk lines, and

queueing theory question:

There is a switching system which connects 10,000 subscribers to trunk lines. All calls from subscribers are destined to trunk lines, and there are no calls from trunk lines to subscribers. The average total holding time per one hour per one subscriber is 3 minutes. The mean holding time per one call is 2 minutes. The blocking probability of trunk lines is 5%. Calculate the following.

(1) Carried traffic.

(2) Offered traffic.

(3) Call arrival rate from all subscribers.

(4) Average number of subscribers who are connected to trunk lines simultaneously.

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