To me Operational Excellence would flow into Process Excellence which would in turn flow into Business Excellence. However, each of these can also be independent of the other.
Operational Excellence:
All the strands that go into the making of the Process are an organism in itself. Each of these would have their individual stress points, which if resolved can lead to that particular aspect of the Operation function optimally. Ideally, this should lead to the Process being more efficient, but each individual strand of Operation may not be able to impact the overall Process, by being ‘Excellent’ in itself.
Personal Excellence:
To have the ability to looks inwards after each experience. To understand strengths that can be replicated and weaknesses that need work. Most important to act once these areas have been identified.
Process Excellence:
This can only be achieved if all your critical functions are operating at an optimal level. All available resources and infra is properly utilized and adequate redundancies are planned to ensure seamless functioning.
For this to happen deliverables have to be properly defined, and role definitions and responsibilities to be clearly mapped.
Business Excellence:
All best Processes must stand the test of the marketplace. While the system has to be robust enough to withstand the vagaries of the market, it should also be flexible enough to take on the evolution required to cater to the changing market. To have the nous to understand what the customer needs today, but more importantly to know the need of tomorrow.