The common measures of a queuing system's performance include
A) probability that the service facility will be idle, average queue length, probability that the waiting time will exceed a specified duration.
B) average time each customer spends in the system, probability that the service system will be idle, average time each customer spends in the queue.
C) average queue length, maximum time a customer may spend in the queue, the utilization factor for the system.
D) average time each customer spends in the system, maximum queue length, probability of a specific number of customers in the system.
E) average time that the service facility is idle, minimum queue length, probability that the waiting time will exceed a specified duration.

Question

Quizplus · Accepted Answer

The common measures of a queuing system's performance typically include the average time each customer spends in the system (i.e. from entering the queue to exiting the system), the probability that the service system will be idle, and the average time each customer spends in the queue. These metrics provide insight into how efficiently the system is operating, how often customers have to wait, and how long they should expect to wait. Option B correctly identifies all three of these metrics, making it the best choice. Option A only identifies two of the three metrics and includes the probability that the waiting time will exceed a specified duration, which is less commonly used. Option C includes the maximum time a customer may spend in the queue, which may not be as useful or relevant as the average time spent in the queue. Option D includes the maximum queue length and the probability of a specific number of customers in the system, but does not include the probability that the service system will be idle. Option E includes the average time that the service facility is idle, which is not as commonly used as the other metrics.

The Common Measures of a Queuing System's Performance Include