Round Robin algorithm should solve this and is a fairly quick alogrithm ...
http://en.wikipedia.org/wiki/Round-robin

An example can be found
http://forrst.com/posts/PHP_Round_Robin_Algorithm-2zm


On Tue, Oct 1, 2013 at 2:51 PM, Floyd Resler <fres...@adex-intl.com> wrote:

> Here's my task: A group of kids is going to be staying with different host
> families throughout the next 8 months.  The number of kids staying with a
> host family can range from 2 to 10.  When deciding which kids should stay
> together at a host family, the idea is for the system to put together kids
> who have stayed with each other the least on past weekends.  So, if a host
> family can keep 5 kids, then the group of 5 kids who have stayed together
> the least will be chosen.
>
> I can't think of an easy, quick way to accomplish this.  I've tried
> various approaches that have resulted in a lot of coding and being very
> slow.  My idea was to give each group of kids a score and the lowest score
> is the group that is selected.  However, this approach wound of iterating
> through several arrays several times which was really slow.  Does anyone
> have any ideas on this puzzle?
>
> Thanks!
> Floyd
>
>
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-- 
Nickolas Whiting
Freelance Consultant

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