The wait time for a single-channel system is more than twice that for a two-channel system using two servers working at the same rate as the single server.

Question

Quizplus · Accepted Answer

This is based on Little's Law, which states that the average wait time in a queue is equal to the average number of customers in the queue divided by the average rate of customer arrivals. For a system with one server, the average wait time is directly proportional to the average number of customers in the queue. Therefore, if you double the number of servers while maintaining the same arrival rate, the average number of customers in the queue should be cut in half, which would lead to a reduction in wait time. Since the wait time for the single-channel system is more than twice that of the two-channel system with two servers, it follows that the two-channel system provides shorter wait times.

The Wait Time for a Single-Channel System Is More Than