Re: [Help-glpk] Variables with different cardinalities

[Brady Hunsaker]

address@hidden wrote:
> Hello all,
>
> First of all let me say that GLPK is a great project!
> I really appreciate all the excellent work.
>
> I think I understand how to set up a problem in
> which all the variables have the same cardinality
> (by this I mean the same number of possible values).
>
> I want to set up a problem in which the variables
> can have different cardinalities. I've tried various
> things but I haven't found anything that glpsol is
> happy with. Maybe someone can point me to a simple
> example?
>
> I guess this is a really simple problem but I've
> read the MathProg manual and searched the mailing
> list archive without success.
>
> Thanks in advance for your help!
> Robert Dodier

It sounds like you must be using a MIP, since variables have a finite 
number of possible values.  All you need to do is declare a variable to 
be integer and give appropriate lower and upper bounds.  This will limit 
the values it can take.  It is perfectly fine to have variables with 
different bounds.

I think something like the following would work, thought I didn't test 
it myself:
var One >=0, <= 3, integer;
var Two >=0, <= 2, integer;

The way that you asked the question makes me wonder if what you have is 
more of a constraint program, however.  If so, you may want to consider 
other solution methods, such as constraint programming.

Brady