Use the scenario given below to answer the following question(s).
You arrive at a queue and spend 10 minutes in the system (waiting plus service).During this time,customers arrive at the rate of 15 per minute.The mean service rate is 20 per minute.
-Assuming Little's law,calculate the number of customers that remain in the queue when you leave the system.
A)approximately 149 customers
B)approximately 140 customers
C)approximately 145 customers
D)approximately 143 customers

Question

Quizplus · Accepted Answer

According to Little's Law, L = λW, where L is the average number of customers in the system, λ is the arrival rate, and W is the average time a customer spends in the system. Here, λ = 15 customers/minute and W = 10 minutes. So, L = 15 * 10 = 150. Since you are leaving the system, one customer leaves, so approximately 149 customers remain.

Use the Scenario Given Below to Answer the Following Question(s)