Question: 2. (15 Points) This problem compares a queue with a single server to a queue with three servers and three times as many clients. Do

2. (15 Points) This problem compares a queue with

2. (15 Points) This problem compares a queue with a single server to a queue with three servers and three times as many clients. Do computations with at least four significant digits to the right of the decimal point. (a) Consider a single server queue with exponential interarrival and service times and an unlimited queue length. If the average customer arrival rate for this queue is 360 arrivals per hour, and the average service time is 1/366 of an hour, what is the expected number of customers in the entire system and what is the expected length of time each customer spends in the system? (b) Consider a three server queue with exponential interarrival and service times and an unlimited queue length. If the average customer arrival rate for this queue is 1080 (3 x 360) arrivals per hour, and the average service time is 1/366 of an hour, what is the expected number of customers in the entire system and what is the expected length of time each customer spends in the system? (c) Based on your work with the questions above, which is more efficient, having three separate single server queues or a central multiple server queue? Explain your reasoning

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