Write a program IN JAVA that simulates a checkout line at a supermarket. The line is a queue object.

Customers (i.e. customer objects) arrive in random integer intervals of 1 to 5 minutes.

Also each customer is serviced in random integer intervals of 1 to 5 minutes.

Obviously the rates need to be balanced. If the average arrival rate is larger than the average service rate , the queue will grow infinitely. Even with balanced rates randomness can cause long lines.

Run the supermarket simulation for a 12 hour day (720 minutes) using the following algorithm:

• Choose a random integer between 1 and x (see GUI) to determine the minute at which the first customer arrives.
• At the first customer's arrival:
• Determine the customer's service time randomly based on the selection from the GUI (see below)
• Begin servicing the customer
• Schedule the arrival time of the next customer randomly (1 to x minutes see GUI). Add the time to the current time.
• For each minute of the day:
  • If the next customer arrives :
    • Enqueue the customer.
    • Schedule the arrival time of the next customer
  • If service was completed for the last customer:
  • Dequeue next customer to be serviced.
  • Determine customer's service completion time to be added to the current time
  • The results of the simulation should be stored in a file.The file could be opened using a text editor like NOTEPAD.

The GUI should consist of an Applet

The Applet should have the following components that generate the appropriate events:

• A button that starts the simulation.
• A button labeled "Statistics". This button 's action event is to display the statistics of the simulation on the text area of the GUI(see description of text area below).
• A button that exits the simulation (closes the applet and terminates the program execution).
• A list that allows selection (only one can be chosen) of an arrival rate:
• 1 to 3
• 1 to 4
• 1 to 5
• A list that allows selection of service time:
• 1 to 3
• 1 to 4
• 1 to 5
• A display area (Text Area) where the following results can be displayed:
  • Maximum number of customers in the queue during the simulation
  • Longest wait any one customer experienced
  • The above data should be displayed when a button is pressed by the user (labeled "statistics").
• A file chooser component should be added that will allow access to the the file(s) that contains the output data of the simulation.

The Applet should be displayable using the appletviewer. A security file would be needed in order for the applet to be able to access the output file.

There is no requirement for the applet to work with a regular browser (this would require more advanced security concepts).

• The Design documentation as per the design guidelines document
• The source code files
• The compiled files
• A sample output file

• Design: 40% 20 points
• Code/presentation: 60%, 30 points