In addition to all of the good suggestions above:
Have a “standardized” project layout. Create a printed version of what the “ideal” project structure will look like and post it in every edit bay. For example: Every project keeps the most recent sequence in a bin labeled “1. Current Cut”, Old cuts go into “2. Old Cuts”, Music into “3.Music”, B-roll into “4. B-roll”, etc. The numbers in front of the names ensures that the bins (folders) will sort nicely in your project.
I can’t tell you how frustrating it is to step onto a system and not be able to find where the latest cut has been saved. The key to success in a group workflow is to establish a common bin structure, a common naming structure, and a logical workflow.
Last but not least: NEVER name a cut “final”… that’s just asking for trouble. The minute you label something final… it isn’t! Someone will come up with just one more change, and then, what do you call the next version? Final-final? Yes, I’ve seen that too often. Stick to numbers. It’s safer.
Good luck.
mark