Problems of this type usually have the added wrinkle that the production
capacities of the lathes are different or the skill of the workers is
different, and you have to choose which machines to operate and for how long
and / or which workers to assign to which machines.

All in all, I was pretty happy with my solution :-)

On Fri, Jun 20, 2008 at 8:55 AM, Peter Lin <[EMAIL PROTECTED]> wrote:

> the solution looks pretty pretty straight forward. it could probably
> be generalized to allow for n number of lathes.
>
> peter
>
> On Fri, Jun 20, 2008 at 3:02 AM, Jason Morris <[EMAIL PROTECTED]>
> wrote:
> > Hi All,
> >
> > Peter Lin sent me a manual for Xpress-MP (a Fair Isaac product), since
> we'd
> > been discussing some work in the operations research / optimization
> domain.
> >
> >
> > In that manual, the first problem that the authors give is the following:
> >
> > The Chess Set Problem
> > =====================
> > A small joinery makes two different sizes of boxwood chess sets. The
> small
> > set requires 3 hours of machining on a lathe, and the large set requires
> 2
> > hours. There are four lathes with skilled operators who each work a 40
> hour
> > week, so we have 160 lathe-hours per week. The small chess set requires 1
> kg
> > of boxwood, and the large set requires 3 kg. Unfortunately, boxwood is
> > scarce and only 200 kg per week can be obtained.  When sold, each of the
> > large chess sets yields a profit of $20, and one of the small chess set
> has
> > a profit of $5.
> >
> > Q. How many sets of each kind should be made each week so as to maximize
> > profit.
> >
> > Now, I happen to play chess and I do own an ebony and boxwood chess set,
> so
> > I couldn't resist trying to solve this problem using rules and Jess.
> >
> > I am posting my solution, but don't peek if you want to try it yourself!
> >  :-)
> >
> > I think that it shows how elegant and powerful the Jess language is.
> >
> > Cheers,
> > Jason
> >
> > -----------------------------------------------------------
> > Morris Technical Solutions LLC
> > [EMAIL PROTECTED]
> > (517) 304-5883
> >
>
>
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>


--
-----------------------------------------------------------
Jason Morris
Morris Technical Solutions LLC
[EMAIL PROTECTED]
(517) 304-5883

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