1) People trying to bump the priority of their own tickets by showing up in my cube. This is inevitably at the expense of other, more polite, users of the system. Prioritizing requests is one of the toughest parts of operations job - if you think I'm doing it all wrong, you can talk to my manager.
2) People who think that "open a ticket" means "go to hell". It actually means "We need to document all changes done to production and we need to prioritize requests. Please help us do our job by using the system designed to do so. The request will be done within 5 minutes if its urgent/important/really simple. But we still need a ticket to document it and follow up if it causes issues in the future."
On the other hand, if you boss is competent, he can raise the availability and priorities of admins in all kinds of management meetings. Hopefully resulting in better priority for developer requests and maybe even hiring few more admins.