# Queuing system

#### sara_87

1. 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,$$\lambda$$/$$\mu$$)

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

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#### Mark44

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.

#### 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

#### Mark44

Mentor
Last edited by a moderator:

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