Ever try and bake a third of a pie? I suspect that it is quite difficult to accomplish that since I have never seen anyone prepare a third of a pie. So if it is that difficult why would you use only a third of the continuous process improvement tools available to you to resolve your organizational problems?
Next time you have an issue you are trying to resolve consider using:
The Theory of Constraints to identify the problem or obstacle
Lean to remove the obstacle from the process
Six Sigma to create the Standard of work and remove the variations.
Make the whole pie not a third with this great tools to resolve your organizational obstacles.