min
OPL keyword to compute minima.
Purpose
OPL keyword to compute minima of a collection of related expressions.
context |
---|
Model files (.mod) |
Syntax
AggregateExpression: "sum" '(' Qualifiers ')' Expression | "min" '(' Qualifiers ')' Expression | "max" '(' Qualifiers ')' Expression | "prod" '(' Qualifiers ')' Expression
Description
Integer
and float expressions can be constructed using aggregate operators
for computing summations (sum
), products
(prod
), minima (min
),
and maxima (max
) of a collection of related
expressions.
The default behavior of min
on
empty sets is to supply a value of infinity
;
that is:
min(empty set)=infinity
If you prefer to supply a different default value, you can use the following code:
minl(0, min(I in possibleEmptySet) dd[i])
This example will use 0
if possibleEmptySet
is empty.
Example
The excerpt
range Routes = 1..2;
int capacity[Routes] = [100, 50];
int minCap = min(r in Routes) capacity[r];
uses the aggregate operator min
to compute the minimum value in array capacity.