Example

Let us now turn our attention to an example of using Gurobi to solve a simple MIP model. Our example optimizes the following model:

maximize	x	+	y	+	2 z
subject to	x	+	2 y	+	3 z	$<span>$</span>\leq<span>$</span>$	4
	x	+	y			$<span>$</span>\geq<span>$</span>$	1
	x, y, z binary

Note that this is the same model that was modeled and optimized in the C Interface section.

This is the complete source code for our example (also available in <installdir>/examples/matlab/mip1.m)...

names = {'x'; 'y'; 'z'};

model.A = sparse([1 2 3; 1 1 0]);
model.obj = [1 1 2];
model.rhs = [4; 1];
model.sense = '<>';
model.vtype = 'B';
model.modelsense = 'max';
model.varnames = names;

gurobi_write(model, 'mip1.lp');

params.outputflag = 0;

result = gurobi(model, params);

disp(result);

for v=1:length(names)
    fprintf('%s %d\n', names{v}, result.x(v));
end

fprintf('Obj: %e\n', result.objval);