Need help relating a list of random numbers to a list of names so that i can create a rota

Seeing that there are more shifts than there are personnel, the system will, given enough time, rotate all personnel evenly through all positions. You can number the shifts or just list the employees and give them a number between 1 and 22. Both types of shift are shown here.

Random numbers when applied to shifts often produce unacceptable results like an employee working many nearly consecutive shifts while others don't work very often.