LiftCorp, LLC has created a new, efficient personal elevator technology used to handle in$-$building transportation. In the LiftCorp system, individual elevator pods are built into a network of tubes that deliver the pods to the correct floor. LiftCorp is interested in understanding the average wait time for passengers.

This system is governed by the following rules:

The system can be generalized to any number of pods.

When a passenger arrives, he can enter an empty pod and select a destination.

A passenger is equally likely to select any floor in the generic building.

If there is no empty pod, the passenger will queue up in a single line.

It takes one generic time unit per floor to deliver a passenger, so if a passenger selects $5$ it will take $5$ time units.

It takes one generic time unit per floor for the pod to return to the lobby.

For this model, you can assume that you only have passengers entering the main lobby and going to other floors. You do not need to think about passengers departing from other floors.

Complete the following tasks.

Specify the events that can change the state of your system.

For each event, specify an algorithm that shows how the system changes when this type of event occurs. You may use pseudocode to complete this problem.

Specify the main algorithm that will initialize your system, get the simulation started, and run the simulation until it has completed. You may use pseudocode to complete this problem.