dvar float x1; dvar float x2; maximize 3*x1 5*x2; subject to { 4*x1 8*x2<=100; 7*x1-2*x2<=35; }

Keyword dvar defines decision variables

The keywords maximize/minimize define the objective function

The keyword "subject to" defines constraints

Float (Float/Real) dvar float f; dvar float f; (Note: float represents non-negative real numbers)

Integer dvar int x; dvar int x; (Note: int represents a non-negative integer)

0-1 variable dvar boolean y;

String (string type) string Task = "ceiling";

dvar float x1; dvar float x2; maximize 3*x1 5*x2; subject to { 4*x1 8*x2<=100; 7*x1-2*x2<=35; }

(1) range Rows = 1..10; range float X = 1.0..100.0;

(2) int n = 8; range Rows = n 1..2*n 1;

(3) range R = 1..100; int A[R]; // A is an array of 100 integers

(4) range R = 1..100; forall(i in R) { //element of a loop loop statement }

one-dimensional array One-dimensional arrays

Multidimensional Arrays Multidimensional Array

Ranges and Arrays

range Range_A = 1..10; range Range_B = 1..20; dvar int x[Range_A][Range_B] in 0..100; dvar int y[Range_A][Range_B]; minimize…

subject to{ forall( i in Range_A) x[i][1] ==1; forall( i in Range_A) sum( j in Range_B) y[i][j] <= 200; //Sum keyword: sum … }

model file

data file