sum
OPL keyword to compute summations.
Purpose
OPL keyword to compute summations 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. Behavior on empty sets:
sum(empty set)=0
Example
int n = 10;
range Range = 0..n-1;
dvar int s[Range];
subject to
{
sum(i in Range) s[i] == n;
sum(i in Range) s[i]*i == n;
}