With a single-server model, increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in:
A) a decrease in the utilization of the server.
B) no change in the average number of customers in the service system.
C) an increase in the average number of customers in the waiting line.
D) an increase in the waiting time in line.

Question

Quizplus · Accepted Answer

In a single-server model, if the arrival rate and service rate are increased by the same percentage, it will result in no change in the average number of customers in the service system. This is known as the balanced condition, which occurs when arrival rate = service rate. As a result, the utilization of the server will increase, but the waiting time in line and the average number of customers in the waiting line will not change. Therefore, the best choice is B.

With a Single-Server Model, Increasing the Arrival Rate by 10