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Consider 20 DS0 circuits that are multiplexed onto 3 outgoing circuits. The mean arrival rate at each DS0 circuit is 1 call per hour during the busy hour; calls last, on average, 5 minutes. Assume Poisson arrivals, exponentially distributed call durations, and that customers that attempt a call when all circuits are busy are blocked (ignore call retry).
What is the probability of blocked calls?
(hint: DS0 circuit is essentially traditional wired phone circuit. So, the question essentially means there are 20 incoming phone lines, 3 outgoing phone lines)
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