Question $2$

Submit your $.$doe files. Write your answer into the $.$doe file by inserting a text box.

A facility that issues driving licenses has organized its customers into groups to balance the workload. Customers arrive and join one of three separate lines depending on where they live. Model this arrival process as three independent streams, each following an exponential interarrival distribution with a mean of $10$ minutes, with an initial arrival at time $0$ for each stream. Each customer group is assigned a dedicated clerk who handles the processing of application forms and payment, with a distinct queue for each. The service time for all customer types follows a uniform distribution between $8$ and $10$ minutes. Once this step is completed, all customers proceed to a second clerk, who reviews the forms and issues the licenses. This clerk serves all three customer groups in a single, combined first$-$come, first$-$served queue. The service time for this stage is uniformly distributed between $2\mathrm{.}66$ and $3\mathrm{.}33$ minutes for all customer types. Create a model of this system and simulate it for $5,000$ minutes.

a$)$ Report the average time spent in the system for each customer group separately. Hint: If you define Entity Types in Create modules, Arena would report entity statistics related to each Entity Type in the Excel file.