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Consider a model representing the processing of customers by a bank teller. Customers arrive at a bank, are served by a single teller, and then

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Consider a model representing the processing of customers by a bank teller. Customers arrive at a bank, are served by a single teller, and then leave. If a customer arrives and finds the teller idle, the service starts right away, otherwise, the customer waits in a single queue. Assume that the arrival time of a customer and the service time by the teller for each customer are the ones in the table below (all in minutes) Customer Arrival Time Service Time 0 15 3.2 2.5 3.8 2.1 2.7 8.3 24 The system starts at time 0 minutes with no customers being served, le, the teller is idle. Carry out a hand simulation for this model for a duration of 10 minutes and determine the following: 1. What is the average waiting time in queue? 2. What if the time-average length of the queue? 3. What is the resource utilization percentage? Fill the tables below to keep track of your variables and calculations. In the templates provided, draw the time-persistent curves corresponding to the queue, Q(t), and the resource utilization, B(t). Customer Arrival Time Start Service Time Departure Time Time in Queue Time in Bank 3.8 Variables Statistical Accumulators Event Calendar Customer Timet Event Type 0.00 Init 0.00 Arr Q(t) B(t) P N EWQ wa ETS TS 1Q Q. 1B Q(t) Graph B(1) Graph

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