4. Operations Analytics

Queuing Theory — Quiz

Test your understanding of queuing theory with 5 practice questions.

Practice Questions

Question 1

In an M/M/1 queue, the number of arrivals in a fixed time interval follows which distribution?

Question 2

Which service discipline does the M/M/1 queuing model assume?

Question 3

In an M/M/1 queue, if the arrival rate exceeds the service rate ($\rho > 1$), what is the expected long-run behavior of the queue length?

Question 4

For an M/M/1 system, the average number of customers in the system ($L$) can be expressed as:

Question 5

For an M/M/1 queue, the average time a customer spends in the system ($W$) is given by: