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Non-stationary distribution of an M/M/infinity queue

  1. Apr 26, 2014 #1
    please delete

    Suppose we have an M/M/##\infty## queue with arrival rate ##\lambda## and service rate ##\mu## that is empty at time ##0##.
    (M/M/##\infty## queue is a queue, in which the inter-arrival times are exponentially distributed, each job immediately gets its own dedicated server, in which it spends an exponentially distributed amount of time and then departs)

    I'd like to compute the distribution for the number of jobs in the system if we run it for ##t## time units.

    Edit: please delete, found the answer.
     
    Last edited: Apr 26, 2014
  2. jcsd
  3. May 4, 2014 #2
    I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
     
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