Final answer:
An unstable queue sees average waiting times steadily grow due to the arrival rate exceeding the service rate, leading to the accumulation of tasks or customers. (option C)
Step-by-step explanation:
The type of queue that sees average waiting times steadily grow is known as a C. Unstable queue. In the context of queue theory within business operations and systems analysis, a stable queue is one where the arrival rate of tasks or customers is less than or equal to the service rate, which keeps wait times stable or decreasing. On the other hand, an unstable queue is characterized by an arrival rate that exceeds the service rate, leading to an accumulation of tasks or customers over time and, therefore, longer waiting times. The situation in an unstable queue will continue to deteriorate unless corrective measures are taken to balance the arrival and service rates.
The type of queue where average waiting times steadily grow is an unstable queue, which occurs when the rate of task arrivals exceeds the rate of task processing, leading to a continuous backlog and increasing wait times.