In Business Objects, go to your publications properties set the following requirements:
Enterprise Recipients: Set Users or Groups
Destination: Select Destinations must have "Default Enterprise Location" selected.
All other setting in this area are optional.
Now go to your Launch Portal administration at http://server:8080/launch/administration
Go to the Application Name and click "Edit"
Scroll down to "Desktop - Report List - Show/Hide Icons" and check "Burst History"
Scroll down and click "Update"
To confirm that your publications are working login to your portal and access your report list.
On a report with a scheduled burst publication, click on the Report Burst History Icon
Your users assigned directly or via group will see bursts while users not assigned should see nothing in the report burst history.