Question

The cost of proving service in a queuing system increases with:

• A. Decreased mean time of the queue
• B. Increased arrival time
• C. Decreased arrival time
• D. Increased mean time of the queue

Hint:

When the mean time of the queue is reduced, the system operates faster, but it may lead to higher service costs due to increased resource usage.

Answer 1

The Correct Option is A

Step 1: Understanding queuing systems.
The cost of service in a queuing system refers to the overall operational cost required to manage customer flow. This includes the cost of maintaining queues, handling service requests, and managing waiting times.
Step 2: Cost increases with decreased mean time.
Decreased mean time of the queue refers to a more efficient system where customers spend less time waiting. However, in practical terms, this often leads to increased service costs, as more customers are processed in a shorter time, requiring more resources and faster service.