1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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:
    [tex]\lambda[/tex]=2.1,
    [tex]\mu[/tex]=0.8,
    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

    Mark44

    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

    Mark44

    Staff: Mentor

    Last edited by a moderator: Apr 24, 2017
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Queuing system
  1. Queuing Theory (Replies: 2)

Loading...