I've seen one can set a time limit, node limit, etc. to stop a Gurobi model optmimization but those are parameters you can only set before running the optimization.
I want to know how to interrupt programatically a optimization without stopping the program calling the model (I'm programming in c#) because I want to try using the suboptimal variable values.
If it's of any use I'm running the model in separate threads than the program GUI.
You can call Abort from a callback. See examples/c#/callback_cs.cs for an example.