Queuing system

1. Mar 27, 2009

sara_87

1. The problem statement, all variables and given/known data
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,$$\lambda$$/$$\mu$$)

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,$$\lambda$$/$$\mu$$)
Any help would be very much appreciated.

2. Mar 28, 2009

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.

3. Mar 28, 2009

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 dont know what the bulk probability means, that's why i need help.
Thank you

4. Mar 28, 2009

Staff: Mentor

Last edited by a moderator: Apr 24, 2017