which reports are you referring to? The reports generated when you right click on something and you select Show as Report?
Or are you referring to the reports what you create starting from a query or using the Report Designer?
I have a report running off an sql query "Computer"."Device Name" EXISTS and saves to the default LANDesk reports share. However, LANDesk appends date and time of the report to the title.
Incidentally when the report ran 50+ copies of the report were generated.