I turn my mixing pump (eheim 1250) on for 10 minutes every 3 hours. This has always been a good time for me so I have just stuck with it.
Keep in mind that in order to run a fail proof kalk reactor, you need to hook up the dosing pump to a pH monitor and a float valve. If you have that set up, you can safely run your kalk reactor as your ATO.
You will want to add additional kalk to the reactor when you are not able to keep your pH at your desired level, which for most of us is at 8.3. About once every 3 months, I will empty my kalk reactor completely and replace it with new kalk. This really depends on the quality of kalk that you are using. I use BRS, which is defiantly not the purest and is why I have to change my kalk out completely every few months. You'll know that it is time to do when you see the kalk start turning dark in your reactor and you are having trouble keeping your pH raised.
If your pH is high and you are not able to add enough ATO water to keep your salinity stable 24/7, turn your mixing pump down until you get the timing right.