“Why don’t they buy another copying machine for this office? I waste a lot of valuable time fooling with this machine when I could be preparing my legal cases,” noted Mr. H.C. Morris, as he waited in line. The self-service copying machine was located in a small room immediately outside the entrance of the courtroom.
Mr. Morris was the county attorney. He often copied his own papers, as did other lawyers, to keep his legal cases and work confidential. This protected the privacy of his clients as well as his professional and personal ideas about the cases.
He also felt awkward at times standing in line with secretaries, clerks of the court, other attorneys, police officers and sheriffs, building permit inspectors, and the dog warden— all trying, he thought, to see what he was copying.
The line for the copying machine often extended out into the hallways of the courthouse.

To organize her thinking, Dot listed a few of the questions she needed to address as follows:

1. Assuming a Poisson arrival distribution and an exponential service time distribution, apply queueing models to the case situation and evaluate the results.

2. What are the economics of the situation using queueing model analysis?

3. What are your final recommendations using queueing model analysis.

4. Advanced Question: Do the customer arrival and service empirical (actual) distributions in the case match the theoretical distributions assumed in queueing models?