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I think that at Process Approach, each process should has a criteria for success (means internal satisfaction from process owner)
The second indicator is the Internal communication which ensure the effectiveness of the processes and objectives
Main Indicator is those Processes which ran acroos various Departments i.e. in Procurement, User, Stores, Accounts & Logistics may be involved so they are happy with each other then this process would be running smoothly.
Another Indicator would be Management Review Meeting where all stake holders would be sitting and dicsussing System Performance and all such issues would be highlighted where they have dissatisfaction with eahc others process