JBoss jBPM should provide information on how processes are or have been running. Some people would call this BAM (Business Activity Monitoring), some call it BI (Business Intelligence) Some info can be found on http://www.javareport.com/article.asp?id=9238 and http://bizintelligencepipeline.com/howto/showArticle.jhtml?articleId=49900689

1. jBPM should store the duration and start date of a state/process in the logs
2. Write some detailed info on wiki
3. Show processinstance and data
4. day/week/month overviews
5. near realtime data per process
6. produce graphs of day/week/month overviews

Some more ideas i got from a requirements document...

• Number of cases processed in through a particular process definition
• Number of cases flowing through a particular activity
• Longest work item delay by activity
• Workitems awaiting a particular task
• Workitems in a specific worklist claimed and/or completed by a particular user
• Longest end-to-end delay
• Mean time to approve by activity by participant
• Mean end-to-end completion time.

as background info, here's what the competition says about BAM:
http://appian.com/AppianEnt/Analytics/analytics.html
http://www.webmethods.com/meta/default/folder/0000005936
http://msdn.microsoft.com/library/default.asp?url=/library/en-us/introduction/htm/ebiz_intro_story_piew.asp
http://www.tibco.com/software/business_optimization/activity_monitoring.jsp?m=c1
http://www.vitria.com/products/platform/bam.html
http://looselycoupled.com/glossary/BAM