Exam 18: Management of Waiting Lines

The goal of queuing analysis is to balance the cost of providing a level of service capacity with the possible loss of business due to customers leaving the line or refusing to wait.

For a system that has a low utilization ratio, decreasing service capacity slightly will have only negligible effect on customer waiting time.

A basic difference between infinite-source and finite-source queuing models is the

A bank of 10 machines requires regular periodic service. Machine running time and service time are both exponential. Machines run for an average of 44 minutes between service requirements, and service time averages six minutes per machine. What is the average number of machines down when there is one operator?

This occurs when there is a temporary imbalance between supply and demand.

To reduce the average number waiting in line, it is important to increase utilization.

Little's law states that the average number of people in a waiting line is the average customer arrival rate multiplied by the

A multiple-channel queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of four customers per hour and an average service time of 18 minutes per customer. The minimum number of servers required to avoid an overloaded system is