Queueing Analysis
Please answer the following questions and explain your reasoning briefly.
a) Consider an M/M/1 queueing system. If the arrival rate increases, then the expected waiting time in the queue increases. Yes or No? Explain.
b) Which of the following actions will always increase the expected number of people in an M/M/1 queueing system?
a. Increasing the number of servers. Explain why.
b. Decreasing the service rate. Explain why.
c) Suppose that the current criterion of an M/M/1 queueing system is as follows: the expected waiting time in the queue should be less than one hour at least 90% of the time. You know that this criterion is not satisfied currently. Which of the following actions will help satisfy this criterion?
a. Adding another server with its own queue. Explain why.
b. Decreasing the expected inter-arrival time of customers. Explain why.