The Exponential Distribution and the Poisson Process (servers processing jobs)

mike94

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Oct 21, 2017
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There are two servers available to process n jobs. Initially, each server begins work
on a job. Whenever a server completes work on a job, that job leaves the system and
the server begins processing a new job (provided there are still jobs waiting to be
processed). Let T denote the time until all jobs have been processed. If the time that
it takes server i to process a job is exponentially distributed with rate μi , i = 1, 2,
find E[T] and Var(T).
 
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There are two servers available to process n jobs. Initially, each server begins work
on a job. Whenever a server completes work on a job, that job leaves the system and
the server begins processing a new job (provided there are still jobs waiting to be
processed). Let T denote the time until all jobs have been processed. If the time that
it takes server i to process a job is exponentially distributed with rate μi , i = 1, 2,
find E[T] and Var(T).
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