TSM Scheduler - multiple start times

I have a LINUX server that the backup continuously runs longer than 24 hours. The server owners do not like that the server is actually just getting backed up every other day.

I do not think that I can do what I am about to ask, but.......

In TSM can I put multiple start times associated with one schedule? I would do this becasuse the schedule would check to see if backups are running when it wants to kick off a new backup. If a backup is running then that scheduled start time is then skipped. If I would have the ability to add a second start time a few hours after the first start time then the backup may use that time if the backup on the server has completed before that second start time.

My second thought would be with duration. I understand that duration will wait to start the backup if the TSM server has too many session running at that time. So If I have duration set to 1 hour the backup can start anytime in that 1 hour time frame. But what if the backup is still running from the previous day, will duration wait for 1 hour to see if that backup finishes then start the backup if it does. My first thought would be "no" once the backup is initiated and the previous backup is still running that backup start time will be skipped.

That all being said, is there a way to have multiple start times using the TSM scheduler without having two backups running at the same time?

Thanks for your help.