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Poisson Distribution in Telephone System

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  • #13520
    Zeb Fropiaz

    Hi! Can someone help me with the following problem:

    Suppose that there are `m` lines in telephone system. Each line is used to connect a pair of disctinct subscribers. Furthermore, subscribers call at an average rate `L` according to a Poisson process and only call those that are not currently involved in a call. In other words, the number of calls

    attempted in a given time interval has a Poisson distribution with parameter “L”.
    Calls made when there are currently m calls already in the progress are lost, and the
    duration of a call has an exponential distribution with mean 1/meu. What is the throughput of this system?

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