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) no change in the probability that there are n customers in the system.
B) a decrease in the average waiting time in line.
C) an increase in the average time spent in the system, including service.
D) an increase in the average number of customers in the system.

Question

Quizplus · Accepted Answer

In a single-server model, if both the arrival rate and the service rate are increased by the same percentage, the relative stability of the system remains unchanged. This is because the system's capacity to handle the increased flow of customers matches the increase in customer arrivals, thus maintaining the probability that there are n customers in the system.

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