Question: Question 2.(20 points) Consider an M/M/c queue with arrival rate 7 customers per minute, average service time 100 seconds. a. Find c*, the minimum number

Question 2.(20 points) Consider an M/M/c queue with arrival rate 7

Question 2.(20 points) Consider an M/M/c queue with arrival rate 7 customers per minute, average service time 100 seconds. a. Find c*, the minimum number of servers required to ensure that at least 80% of customers wait less than 20 seconds. (You can use the Erlang-C calculator on http://www.gerkoole.com/CCO/erlang-c.php.) Answer questions b, c, and d for the system with c" servers. (You can use ggc.xls.) b. What are E[N], E[N, ET and EITy? c. What is the probability that an arriving customer will wait? d. What is the utilization of the system? Question 2.(20 points) Consider an M/M/c queue with arrival rate 7 customers per minute, average service time 100 seconds. a. Find c*, the minimum number of servers required to ensure that at least 80% of customers wait less than 20 seconds. (You can use the Erlang-C calculator on http://www.gerkoole.com/CCO/erlang-c.php.) Answer questions b, c, and d for the system with c" servers. (You can use ggc.xls.) b. What are E[N], E[N, ET and EITy? c. What is the probability that an arriving customer will wait? d. What is the utilization of the system

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