I don't care about the number of files, only the total size per partition.
What Pascal suggested was my initial idea - it's probably good enough.
Another ideas is to generate a lot of random partitions and pick the best
one but I think Raul points up what's missing from the problem statement: a
measure of how good a solution is.

I don't see how this is like ensuring that fractional portions sum to
100%.  My idea is more to divide up files I want to back up onto a medium
with a specific capacity, like a writeable DVD, assuming the sum total is
such that an even number of discs should suffice.

Anyway, I'll try a couple of these ideas and see how they work.

Thanks for everyone's input.

On Fri, May 20, 2016 at 10:27 PM, Don Guinn <dongu...@gmail.com> wrote:

> Sounds like making sure that percentages add to 100%. Why people check that
> is curious.
> On May 20, 2016 1:11 PM, "'Pascal Jasmin' via Programming" <
> programm...@jsoftware.com> wrote:
>
> > Do you want an almost equal number of files in each group as well?
> >
> > A quick approach is to randomly split the files into groups, then
> > repeatedly take a large file out of a too big group, and place it into a
> > too small group. The average/target group size is quickly calculated.
> >
> > Also take a small file out of a too long group, and place it into a too
> > short group.
> >
> >
> >
> >
> > ----- Original Message -----
> > From: Devon McCormick <devon...@gmail.com>
> > To: J-programming forum <programm...@jsoftware.com>
> > Sent: Friday, May 20, 2016 1:37 PM
> > Subject: Re: [Jprogramming] Even partitions
> >
> > It's an arbitrary grouping so that the sum of file sizes in each group is
> > nearly equal between groups.   To roughly approximate a distribution, you
> > could use something like this:
> > szs=. (+/16 4000?@$400) + (+/8 4000?@$2e3) + (+/4 4000?@$5e5) +
> 4000?@$1e6
> > On May 20, 2016 10:48 AM, "David Porter" <dpor...@cissoid.net> wrote:
> >
> > > Groups based on what?
> > >
> > > Dave
> > > On 5/20/2016 10:11 AM, Devon McCormick wrote:
> > >
> > >> I have a few thousand photos I want to put into a small number of
> groups
> > >> as
> > >> equally-sized as possible.  It looks like a knapsack problem but I
> only
> > >> need to get within some tolerant equality.
> > >>
> > >> Has anyone done something like this?
> > >>
> > >> Thanks,
> > >>
> > >> Devon
> > >> ----------------------------------------------------------------------
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>



-- 

Devon McCormick, CFA

Quantitative Consultant
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