Question: 4. Consider the following two-server one-queue system. If both servers are available when a customer arrives, the customer will choose server 1. Customers waiting in

4. Consider the following two-server one-queue system. If both servers are available when a customer arrives, the customer will choose server 1. Customers waiting in the queue enter service whenever any one of the two servers becomes available (first come, first serve). Arrivals and service times are: Customer #1 arrives at t = 0 and requires 4 minutes of service time Customer #2 arrives at t = 1 and requires 2 minutes of service time Customer #3 arrives at t = 6 and requires 6 minute of service time Customer #4 arrives at t = 12 and requires 5 minute of service time Customer #5 arrives at t = 13 and requires 1 minute of service time Customer #6 arrives at t = 15 and requires 3 minute of service time Solve for system throughput (X) (# of customers served per unit time during the simulation time), total busy time for server 1(B1), total busy time for server 2(B2), mean service time for server 1(Ts), mean service time for server 2(Ts2), server 1 utilization (U1), server 2 utilization (U2), average delay in the queue (D), average number of customers in the queue (Q), and average number of customers in the sys- tem (L). Also, draw the graph of time vs number of customers in the system. Show your work to receive full credit. (25 points)

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