Question: 1. In an M/M/ 1 queueing system, the arrival rate is 6 customers per hour and the service rate is 9 customers per hour. If

1. In an M/M/1 queueing system, the arrival rate is 6 customers per hour and the service rate is 9 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? ( ROUND YOUR ANSWER TO 3 DECIMAL PLACES)

a. What is the utilization? (Round your answer to 3 decimal places)

b. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places)

c. What is the expected waiting time (in hours) for the system (W)? (Round your answer to 3 decimal places)

d. What is the expected number of customers in the queue(L_q)? (Round your answer to 3 decimal places)

e. What is the expected waiting time (in hours) in the queue (W_q)? (Round your answer to 3 decimal places)

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