One man's trash is another one's treasure! Except that person NEVER lived in a HOA!!!
Our HOA had to use dumpsters instead of the normal "City pickup". We had to pay for the costs of the dumpsters (2) and their 2 pickup services a week. (Roughly $950 - $1000 a month NOT including recycling which was another $250) If the garbage pickup couldn't make it to the dumpster for pickup due to someone parking in front of the dumpster or in the street blocking them, they'd charge us a fee for a return pickup. We wanted to pass this charge to the person who caused it but that legislation fell through. Nearly impossible to enforce that fine. Especially if it was a visitor who didn't know the rules.
We didn't use the City's services even though they were available to us. Our streets used to be "Private" and therefore were NOT made to the standard width of the public roads. It made it a nightmare for us if we did put out individual trash cans as they would knock over into the road or scatter trash everywhere. Allowing the use of dumpsters instead is much better for us. Although the area around the dumpster does get nasty once and awhile. We try to clean it as it is needed. Matter of fact, I designated the dumpster area as a "safe place" for pets to do their "business". No one directly lived by the dumpsters.
My non-HOA home I live in now, I pay roughly $14 a month for pickup services. They come 2 times a week. Some areas only get 1 time a week due to the rise in gas costs. Plus we live in an extremely HOT area, so the garbage pickup route timing drastically changes in the summer. They pickup 1 - 2 hours EARLIER! The city has provided us with nice trash cans so the mess isn't too bad. We don't have any set rules on when to set the garbage out. However, if someone does put their garbage out days earlier, it indicates they may not be home. Something thieves pickup on quickly.
Some HOA's put fines on garbage offenders. I don't think that always accomplishes anything. Just makes people angry. There may be other considerations involved before going on a "fine hunt". You never know if it's a new person who doesn't know the rules or timing of garbage pickup. I would somehow convey to the people the proper trash etiquette in meetings or newsletters. Just a reminder of what should be done with the garbage. It may depend on your setup, but you may be able to change to dumpsters like we had. You may want to call the garbage company and find out if they have any suggestions. They are the one's who would be even more concerned on how the HOA decides how to manage their garbage. Don't be afraid to "shop around". There may be more than one company allowed to offer garbage pickup services. I know we had atleast 2 companies in our area that could do it.