If you want to improve the likelihood of reuniting with your luggage while traveling, it is strongly suggested you completely identify said luggage :-).
Have identification tags on all your bags, including carry-on bags. When a piece of luggage has a bag tag missing, an agent does not always have the time to completely research a city listing. And remember to cut off old luggage tags.
If you want your luggage back quickly, include your phone number for airline personnel to call you, and if you are not at home, someone else may be able to advise them where to forward the bag.
Consider using hard-sided bags with no straps, hooks or belts, or wheels. These items can get caught in turn or connecting conveyor belts which may jam up systems and tear up bags when they get caught.
Put your name, address and phone number on the INSIDE of your bags along with an itinerary of your travels. Name tags and bag tags on the outside can get torn off.
Lastly, colorful or distinctive straps tied firmly around your luggage make it easier to spot on the baggage carousel.