Re: next question - find some element of a set

[Mate Hegyhati]

Hi!

Thanks for the clarification. If I understand correctly, and ANY proper 
cost value is ok, and you don't need the element itself, just the cost 
value, then min/max could also  work.

param some_valid_cost := max{s in S} cost[s];

Another more "random" solution (more like a workaround):

param selector{s in S} := Irand224();
param some_valid_cost := sum{s in S: selector[s] == max {ss in S} 
selector[ss]} cost[s];

(but it fails, if the max value is generated twice)

I hope this helps.

All the best!

Mate



On 12/12/19 4:19 PM, Meketon, Marc wrote:
> Here is more clarification.  I have a set  S  and an array  cost[].
> I wanted to get a cost -- any cost -- that is found in the array
> cost.  I didn't want to have to specify in the data section a sample
> element of  S, I just wanted to use GMPL to find one.  In the example
> below, I want to find  SOME_ELEMENT_IN_S  as an index to the array
> cost[].
>
> set S; param cost{S};
>
> param some_valid_cost := cost[SOME_ELEMENT_IN_S];
>
> data; param : S : cost := A 100 B 105 C 198 ;
>
> -----Original Message----- From: Help-glpk
> <help-glpk-bounces+marc.meketon=address@hidden> On Behalf Of
> Mate Hegyhati Sent: Thursday, December 12, 2019 2:29 AM To:
> address@hidden Subject: Re: next question - find some element of a
> set
>
> Hi!
>
> I'm not exactly sure, what you would like to do, but you could just
> say, but maybe this answers your question:
>
> set sports; param  favorite symbolic in sports;
>
> var train{sports} >=0;
>
> s.t. foobar: train[favorite] >=2;
>
> minimize work: sum{f in sports} train[f];
>
> data;
>
> set sports := running cycling swimming; param favorite := 'running';
>
> end;
>
>
> So put ' around the name for a symbolic parameter, and also don't put
> comma between set elements.
>
> I hope this helped. If not, please clarify your situation.
>
> All the best,
>
> Mate
>
>
> > set := A, B, C;
> >
> > param some_element_in_set, symbolic := ?????;
> >
> > The closest I saw was in this old help-glpk email: 
> > https://lists.gnu.org/archive/html/help-glpk/2006-11/msg00059.html
> >
> > Which says:
> >
> > set S;
> >
> > param ref{i in 1..card(S)}, symbolic, in S;
> >
> > # ref[i] refers to i-th element of S;
> >
> > param a{S};
> >
> > ... a[ref[i]]   ...  # means a[i-th element of S]
> >
> > But I cannot get this to work.  If I could get it to work, then I 
> > would do something like: param some_element_in_set := ref[1];
> >
> > BTW, I’m still hoping that someone will help solve how to work the 
> > sudoku_excel.mod example in the ‘examples\sql’ directory of the
> > GLPK directory under Windows 10 64bit.  I still cannot get that to
> > work.
> >
> > -Marc