What are your computer specs? Did you run the system prerequisite check before installing? Second thing. Kriging is very complex. Be sure to talk with someone who has done similiar studies on migration with kriging because there are several different ways to krig the same points and get vastly different results. You might want to check other peer reviewed articles that used kriging effectively. Just a suggestion. Be sure to experiment with several models, and pick one that matches the data that you have.
If you computer has enough resources to run the program, and enough hard drive and memory, then it may be a simple fact of data preparation. Is the data projected? It needs to be if you are kriging((since kriging relies on the semivariogram and interpolation both which rely on correct distances)). I cant remember the maximum points kriging allows, but I do know the more points the better so feel good about that. There is a help button in the kriging tool, that will give you alot of information about kriging.
EDIT:: If it turns out that you have enough resources, you are not using too many points, and your data is projected try creating a new geodatabase to store the output of the kriging tool. From my own experience, setting up the default database under environments saves alot of headaches in the longrun for sure. Setting this up is easy, just click add folder connection, click the new database icon in the brosing window, It has a star on a cylinder, and put that database where you are able to store it. Then go under Geoprocessing-environments ->>>>Select currentworkspace and browse to your new database. Hope this helps. Let me know.