A single-server queueing system has an average service time of 16 minutes per customer, which is exponentially distributed. The manager is thinking of converting to a system with a constant service time of 16 minutes. The arrival rate will remain the same. The effect will be to:
A) increase the utilization factor.
B) decrease the utilization factor.
C) increase the average waiting time.
D) decrease the average waiting time.
E) not have any effect since the service time is unchanged.

Question

Quizplus · Accepted Answer

Switching from an exponentially distributed service time to a constant service time reduces variability in the system. This reduction in variability generally leads to a decrease in the average waiting time for customers, as the system becomes more predictable and can be managed more efficiently.

A Single-Server Queueing System Has an Average Service Time of 16