With a single-server model, increasing the service rate while holding all other factors constant will:
A) increase the utilization of the server.
B) increase the time spent per customer.
C) decrease the probability that there are two customers in the system at any time.
D) decrease the arrival rate of customers.

Question

Quizplus · Accepted Answer

Increasing the service rate (how quickly each customer is served) in a single-server model, while keeping everything else constant, means that customers are processed faster and leave the system sooner. This reduces the likelihood of having multiple customers in the system simultaneously, hence decreasing the probability that there are two customers in the system at any time. It does not directly affect the server's utilization in a way that it increases (it might actually decrease because the server can handle customers faster), nor does it increase the time spent per customer (it decreases it), and it certainly does not affect the arrival rate of customers, which is independent of the service rate.

With a Single-Server Model, Increasing the Service Rate While Holding