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One might wish to find the largest or smallest values over a set. This is done using
r=smax(I,y[I]);
r=smax((I,j),y(i)+w(j));
Here the maximum element from the set is returned back over all of
the elements in I for the first equation
the elements in I and j for the second equation
Use of the syntax smin will find the smallest element across the set.
r=smin(I,y[I]);
r=smin((I,j),y(i)+w(j));
Notes:
| • | The general syntax is smax(settovary,expression) where |
| — | the settovary is the name of the sets or sets that will be varied |
| — | When more than one set is to be varied they are enclosed in parentheses – smin((i,j),x(i,j)). |
| — | expression is a generally a function of the set in the smax |
| — | a ( occurs just after the word smax/smin and matches with a ) at the end of the smax/smin. |
| • | In replacement statements only parameters, scalars, and table data may freely appear. Variables and equations can only be present if attributes are being addressed. |
| • | You cannot generally use smin and smax in equations for models unless you are dealing with a DNLP type of model. |
| • | The expression after the comma is fully computed and then applied to the calculation as if the term were in parentheses. |
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