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Homework Help: Queuing system

  1. Mar 27, 2009 #1
    1. The problem statement, all variables and given/known data
    An M/M/3 queuing system is defined with parameters:
    and 3 service lines.
    Find L, Lq, W, Wq and the bulk probability B(3,[tex]\lambda[/tex]/[tex]\mu[/tex])

    2. Relevant equations

    3. The attempt at a solution

    We are given formulas to calculate L, Lq, W, and Wq but i dont know how to calculate the bulk probability B(3,[tex]\lambda[/tex]/[tex]\mu[/tex])
    Any help would be very much appreciated.
  2. jcsd
  3. Mar 28, 2009 #2


    Staff: Mentor

    Sara, help us out here. I vaguely remember a class in queuing theory long ago, and M/M/3 sort of rings a bell, but that's all.
    Remind us what lambda and mu represent, and L, Lq, W, and bulk probability B(3, lambda/mu) means.

    Unless you're dealing with this stuff, it's mostly jargon.
  4. Mar 28, 2009 #3
    an M/M/3 queuing system is a system withmore than one service line, in this case there are 3 service lines.
    lambda is the arrival rate, mu is the service rate,
    L is the expected number (of people say) in the system,
    Lq is the expected number in the queue,
    W is the expected waiting time in the system,
    wq is the expected waiting time in the queue.
    I dont know what the bulk probability means, that's why i need help.
    Thank you
  5. Mar 28, 2009 #4


    Staff: Mentor

    Last edited by a moderator: Apr 24, 2017
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