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Multiple-Server Waiting Line - Queuing Analysis (please show excel w/formula) If

ID: 375739 • Letter: M

Question

Multiple-Server Waiting Line - Queuing Analysis (please show excel w/formula)

If A (arrrival rate) = 20 customers/hr

U(service rate) = 5 customers/hr

and C (the number of servers) = 2

1. what is L (average number of customers in the queuing system)

2. What is W (averate time customer spends in queing system - waiting abd being served)

3. what is Lq (average number of customers in the queue)

4. what is Wq (average time a customer spends in the queue, waiting to be served) 5. What is Pw (probabitlity that a customer arrving in the sysem must wait for service)

5. What is P0

Explanation / Answer

To solve this queuing problem, The service rate must be greater than the arrival rate. Since service rate given in this question is smaller than arrival late, the queue will grow infinitely larger. The problem can't be solved.