in reply to Schedule Optimization
My advice is that before even deciding what to implement in perl or SQL, you need to design and maintain your logical data model (here is a short course http://www.sum-it.nl/cursus/dbdesign/english/index.php3) and use that to drive what you then build in perl, DDL and/or SQL as your physical implementation.
At that point you'll have well-definied entities we can look at to advise on how to implement them.
Your requirement does suggest the event entity would be a parent that owns event-day children (as database tables) but I'd need to see the rest of the requirement to be confident about that - also I don't yet see why you want to use mathematical combinations which are different from the simple multiples concept your requirement so far suggests
Hope this helps,
Simon
One world, one people
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