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Queuing system

  • Thread starter sara_87
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1. Homework Statement
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. Homework 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.
 
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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.
 
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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
 
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4,301
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