Solving an M/M/3 Queuing System: Calculate L, Lq, W, Wq & B(3, $\lambda$/$\mu$)

[sara_87]

Homework Statement

An M/M/3 queuing system is defined with parameters:
\lambda=2.1,
\mu=0.8,
and 3 service lines.
Find L, Lq, W, Wq and the bulk probability B(3,\lambda/\mu)

Homework Equations

The Attempt at a Solution

We are given formulas to calculate L, Lq, W, and Wq but i don't know how to calculate the bulk probability B(3,\lambda/\mu)
Any help would be very much appreciated.

 

[Mark44]

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.

 

[sara_87]

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 don't know what the bulk probability means, that's why i need help.
Thank you

 

[Mark44]

I found a little information on wikipedia, and a link to an external page that talked about M/M/1 systems, and then did a google searching on "queuing" "bulk probability". Here's one of the pages that came up: http://209.85.173.132/search?q=cach...g+"bulk+probability"&cd=8&hl=en&ct=clnk&gl=us
Hope that is helpful.