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Regarding "mimic" execution, at the moment it simply goes over all process elements found in alternative path and invoke defined simulation features to calculate statistics, there is no process engine work involved at all. It completely relies on simulation attributes given on every activity, transition, etc. As mentioned on wiki, this is still PoC so I am opened for any ideas to improve it and to make it more usable.
Yes, I plan to have UI for it, at the moment primary UI for it is Signavio Modeler, especially for input collection. Reports are now in xml format with xsl transformation so it could be more readable and interactive. Initial plan was to integrate it more with Singavio and what is available on the report right now should be consolidated with Singavio editor too. I was thinking it could be included in Eclipse tooling too, for more advanced features that are not best suited in web based environment…
API was created to make it more generic, so more process engines could adopt it in quite simple steps. Moreover I wanted to have it extensible so anyone who use it can decide what to include and what not.