WN - 3.01

Question 1

What are considered inputs?

Answer 1

1. Number of users
2. Arrival characteristics
3. Service characteristics
4. Resources

Question 2

What are the performances?

Answer 2

1. Waiting time
2. Blocking

Question 3

Explain what

a/b/m/K is in Kendall’s notation

Answer 3

a = type of arrival process

b = service time distribution

m = number of servers

K = maximum number of customers allowed in the system

Question 4

What happens if a is equal to M?

Answer 4

M denotes poisson arrival

1. interarrival times are iid
2. exponential random variables

Question 5

What happens if a is equal to M, D, or G?

Answer 5

M = denotes exponentially-distributed

D = constant service times

G = iid service times following some general distribution

Question 6

Explain little’s law

Answer 6

Queue is the product of the arrival rate and the average time spend in the system