Question

a) Suppose a customer arrives to the system when there are 5 customers waiting in line. What is the probability that this customer will be served by server 1?
b) Suppose a customer arrives to the system when there are 3 customers waiting in line. What is the expected waiting time in line for this customer? What is the
expected time spent in the system?
c) Define the states of the system and draw the diagram. Set up the balance equations (no need to solve) to find the stationary probabilities.
d) In terms of the stationary probabilities what is the average number of people in the system? What is the average number of servers idle?
e) In terms of the stationary probabilities what is ​

Answer 1

Answer

Probability

No of customer's = 5

Probability is 1/5