Slide 25
Probability of empty system is p0.
What is the probabilt thay arrival will be queued?
1 - p0 bc, if you’r in state 0 you are not waiting for arrival. Bc everything is empty.
only state you are not waiting is p0. everywere ielse its p1+p2+p3+…+pn = 1-p0
Ex2:
M/m/2/4 and you are oin state 3. 2 in process 1 waiting.
The prob of waiting be will be 1-(p0+p1)
Slide 30
W = Queue time + service time
service time is 1/miu (u).
If you have mm5 sdystem maximum rate at which you can leve is 5u.
probability of a server being busy in a system with k server is pb.
slide 35
won;t be asked in exam
slide 36
Blocking probablitiy is pk
Quiz
total delays =