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Re: [Help-glpk] Different constraint for first element of a set than for


From: Marc Goetschalckx
Subject: Re: [Help-glpk] Different constraint for first element of a set than for other elements
Date: Tue, 02 Feb 2010 14:28:33 -0500
User-agent: Thunderbird 2.0.0.23 (Windows/20090812)

Following are the two constraints:
subject to Supply_Capacity {i in SUPPLIERS, t in OTHER_PERIODS}:
    purchase [i,t] <= capacity [i,t] + inventory [i,t-1] - inventory [i,t] ;

subject to Supply_Capacity_Initial {i in SUPPLIERS, t in INITIAL_PERIOD}:
    purchase [i,t] <= capacity [i,t] + initial_inventory [i] - inventory[i,t];

Is there a function, similar to card() that returns the first element of a set?
I did not see different constraints for the first period and the other ones in your answer, all constraints are over the full set of months?

Noli Sicad wrote:
Hi Marc,

Could you show us the constraint that make this error as well as the
data sets for these 3 sets so we can fix it.

Anyway, here is example how to this period in months:

~~~~~~~~~~
set MONTHS;

param Land_Coef{m in MONTHS, i in CROP};
param Forest_Coef{m in MONTHS,j in FORCROP};

var Land{i in CROP};

# constraint
#subject to LandAllocation(Months): Crop - ForestCrop <= TotalArea

subject to LandAllo{m in MONTHS}:
      sum{i in CROP} Land_Coef[m,i] * Land[i] -  sum{j in FORCROP}
Forest_Coef[m,j] * LandForest[j] <= TotalArea;

data;
set MONTHS:= Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec;

~~~~~~~~~~

Regards, Noli

On 2/2/10, Marc Goetschalckx <address@hidden> wrote:
  
The model has a different constraint for the first element of a set (say
PERIODS) than for all remaining elements.
I have defined three sets:
INITIAL_PERIOD;
OTHER_PERIODS;
PERIODS := INITIAL_PERIOD union OTHER_PERIODS;
when MathProg is generating the model and specifically constraints over
the PERIODS set it terminates with the following error

cannot convert JAN to floating-point number

where JAN is the first period in OTHER_PERIODS
How should the model be written in MathProg to allow different
constraints for the first element.
Thanks

    

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