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Homework Help: Bernoulli Process Statistics

  1. Apr 10, 2012 #1
    1. The problem statement, all variables and given/known data
    Consider Bernoulli single-server queuing process with an arrival rate of 2 jobs per minute, a service rate of 4 jobs per minute, frames of 0.2 minutes, and a capacity limited by 2 jobs. Compute the steady-state distribution of the number of jobs in the system.

    2. Relevant equations

    3. The attempt at a solution
    For P I got
    .6 .4 0
    .48 .44 .08
    0 .48 .44

    and my system of equations became

    .6a + .48b = a
    .4a+ .44b + .48c =b
    .08b + .44c = c

    and then by simplifying I got

    .48b = .4a
    .08b = .56c

    But I'm stuck right there and don't know where to go. Any help would be appreciated. thanks!
  2. jcsd
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