Hi everyone, On Thursday, March 6, 2014 12:54:22 AM UTC+1, puzzler wrote: > > The potential problem with modeling it as a knapsack problem is that it > assumes that grant-giving is an all-or-nothing affair. >
Yes, exactly this. I realized I omitted this when I woke up in the middle of the night... > Another reasonable way to model it is to assume that if I'm given, say $80 > out of $100 requested, then I have an 80% chance of going. With such a > model, let's say I have a score of 5 and a grant request of $100. Then, if > I'm granted $100, I contribute 5 points of goodness to the overall value > I'm optimizing. So $1 allocated to me contributes 0.05 points of expected > goodness to the overall value. > Yep. A big part of the issue is that the *real* function that maps grant fraction to probability of coming is of course unknowable. A linear approximation is an excellent start. Once I have some test data I'll be able to tell for sure, but I imagine a closer approximation might look more like x**2 than x over [0, 1] (e.g. when I give someone 50% of their grant, the odds they'll come are closer to 25% than to 50%). Are Choco/Loco limited to linear programming? Here's a gist, illustrating how to do this in Loco: > https://gist.github.com/Engelberg/9379157<https://www.google.com/url?q=https%3A%2F%2Fgist.github.com%2FEngelberg%2F9379157&sa=D&sntz=1&usg=AFQjCNH72EGcBLDO4Y8k93Urdn9DD13wbQ> > Wow! That's great; thanks. I guess I'll go produce some test data and see how the different code does :-) thanks again lvh -- You received this message because you are subscribed to the Google Groups "Clojure" group. To post to this group, send email to clojure@googlegroups.com Note that posts from new members are moderated - please be patient with your first post. To unsubscribe from this group, send email to clojure+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/clojure?hl=en --- You received this message because you are subscribed to the Google Groups "Clojure" group. To unsubscribe from this group and stop receiving emails from it, send an email to clojure+unsubscr...@googlegroups.com. For more options, visit https://groups.google.com/groups/opt_out.
