I prefer the nukes.

A product called AntKill, which is poisonous to pets, also works very quickly.

In a situation like the dishwasher, I'd use a few drops of it, close the machine (keeps cats safe) and wait 2 days. 1 day is really sufficient.

It's a slow poison, so they track it back to the colony and pass it around.

I learned about it in Florida, where it held off the massive ant attacks we routinely got there.

(No surprise they were on the move: a few warm days after many cold ones, they will often thaw out and start looking to establish new colonies.)