Conditionals to restrict set coverage

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In sums, minimums, maximums and products it is not always desirable to operate over all the members of a set. One accomplishes this by adding a conditional or addressing over a tuple or subset as discussed below. Such a conditional can take on a number of forms.

Examples:

(calculate.gms)

Examples using a relatively simple conditional on the numerical value of a parameter are

mA(i)$xvar.l(i)=mr(i);

mA(i) =mr(i) $xvar.l(i);

r=sum(i$xvar.l(i),mr(i));

r=smin(i$xvar.l(i),mr(i));

r=prod(i$xvar.l(i),mr(i));

Eq7(i)$ma(i).. zZ{I}=l=10*[3+2]**{34/(11+12)}+{11-1};

Eq8(j)$w(j).. z2(j)=e= sum(I$ma(i),jr(I,j)*xvar(i)) ;

Notes:

•	A fuller discussion of these topics appears in the conditional and sets chapters.

•	The equations with the conditionals on the left hand side operate significantly different from those with the conditional on the right hand side as discussed below.