Hi,
An API for cancelling a process instance was added in 7.31 SP9 - please refer to this blog
What's new in Process Orchestration 7.31 SP09/7.4 SP04
I concur with Jun Wu that I have yet to see a suspension API
Would you please raise this requirement in the Idea Place for BPM giving the business need for this so we can get it considered for future SPs?
Thanks
Jocelyn