I have seen some variations on the DMAIC process in classes that blend lean and six sigma methods. They all basically follow the Plan, Do, Check, Act workflow.
DMAIC (Process Improvement) : Define, Measure, Analyze, Improve, Control
DMAC (Process Management) : Define, Measure, Analyze, Control
DMADV (Design Model) : Define, Measure, Analyze, Design, Verify
DISC (Lean Initiative) : Define, Investigate, Streamline, Control
I have used the DISC method, basically adding some six sigma style analysis to a lean improvement project. This might fit your needs.
Hope this helps