如何在 SCPSolver 中向 LP 添加非负性约束?

How to add non-negativity constraints to an LP in SCPSolver?

我正在使用 SCPSolver 来制定 java 中的线性问题。

玩具线性问题:

    min x + y
        x + 2y >= -1
        x - 2y >= -1

可以写成java为:

LinearProgram lp = new LinearProgram(new double[] { 1.0, 1.0 });

lp.addConstraint(new LinearBiggerThanEqualsConstraint(new double[] { 1.0, 2.0 }, -1.0, "c1"));
lp.addConstraint(new LinearBiggerThanEqualsConstraint(new double[] { 1.0, -2.0 }, -1.0, "c2"));
lp.setMinProblem(true);

LinearProgramSolver solver = SolverFactory.newDefault();
double[] sol = solver.solve(lp);

现在要在 xy 上添加非负性约束,我可以添加:

lp.addConstraint(new LinearBiggerThanEqualsConstraint(new double[] { 1.0, 0.0 }, 0.0, "c3"));
lp.addConstraint(new LinearBiggerThanEqualsConstraint(new double[] { 0.0, 1.0 }, 0.0, "c4"));

但是是否有单个函数调用来为所有变量添加非负性约束?像 lp.addAllNonNegativityConstraints()?

是的,像这样。

lp.setLowerbound(new double[lp.getDimension()]);

将所有变量的下限设置为零。