Build a simulation model with Simio of the toll booth starting from a brand-new empty file.

Assume there is a single toll booth fed by a single lane.

Cars arrive to the toll booth according to a Poisson process (i.e. exponentially distributed inter-arrival times) at a rate of 24 cars/hour.

The processing time for each car at the toll booth is also exponentially distributed with a mean time of 1.8 minutes.

Include a dynamic plot that shows the total number of cars in the system (i.e. the number in queue plus the number being served).

Make sure all of your objects have nice labels.

Include text annotations and/or other drawing elements to make your model look nice.

Set the model run time to 5000 hours with a warm up time of 500 hours.

Run the model and use the output to answer the following questions. For each question, provide the answer from your model output as well as a screen shot from the Results Grid section you used to find the answer. If you needed to do some additional computation for an answer, show the computation.

Q13. The new summer intern working for the traffic authority suggests that instead of randomly selecting 5% of the cars for the extended search, they should just select every 20th car for the extended search. She thinks this will lead to less waiting time at the extended search part of the process. Modify this model to test out the intern's idea.

HINT: Create a useful Model State variable and then use it and reuse it. Also, it would be nice if you did this in a way that made it easy to change the 20 to a different number as a way of experimenting with the best inter-search interval. How does this new process compare to the current extended search process in terms of customer waiting and resource utilization?

Q14. The results of the intern's idea might suggest we could actually send even more cars to extended search. Rerun the two different model and send every 10th car in the extended model to customs and send 10% to custom's in the original model. What do you find in terms of wait times and server utilization?