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Fans arrive randomly at an entrance to a football stadium with inter-arrival times that are exponentially distributed with a mean of 1⁄2 minute. On average 40% of the fans arriving to this entrance are carrying a bag. A fan not carrying a bag can proceed to a single ticketing queue. However, fans with bags must enter a screening queue that leads to a scanner with screening time exponentially distributed with a mean of 1 minute. After bag screening, fans must also pass through the single ticketing queue before entering the stadium. This ticketing queue has space for up to 10 people. There is a single ticket collector, and the time to handle each fan’s ticket is exponentially distributed with a mean of 0.35 minutes.
a. Draw a flowchart of this process.
b. Construct a SimQuick model of this process and simulate it 10 times for 90 minutes.
c. What is your estimate of the average total time at the gate for a fan carrying a bag? For a fan not carrying a bag? Show details.
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