When we considered the decomposition of a Poisson process in the text, weassumed that a
Chapter 6, Problem 3(choose chapter or problem)
When we considered the decomposition of a Poisson process in the text, weassumed that a generalized Bernoulli trial was performed to select the outputstream an arriving job should be directed to. Let us now consider a cyclic methodof decomposition in which each output stream receives the nth arrival so thatthe first, (n + 1)st, (2n + 1)st, ..., arrivals are directed to output stream 1, thesecond, (n + 2)st, (2n + 2)st, ..., arrivals are directed to stream 2, and so on.Show that the interarrival times of any output substream comprise an n-stageErlang random variable. Note that none of the output streams is Poisson
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