Question

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).

Answer 1