LocalSolver快速入门指南(连载三十九) -LocalSolver黑盒优化使用Java

黑盒优化使用Java

Java中,黑盒函数作为实现接口LSDoubleBlackBoxFunction的对象传递给LocalSolver。这个接口有一个方法call(调用),它的参数是LSBlackBoxArgumentValues类型的对象。call方法使用此对象来访问当前点的决策变量值,以求值并返回此时的函数值。

然后创建一个LocalSolver模型来优化这个黑盒函数。使用doubleBlackBoxFunction方法将黑盒函数转换为LSExpression。决策使用call类型的LSExpression与函数关联。通过LSBlackBoxContext,求解器被告知执行20次黑盒函数的求值。这个上下文还可以用来为函数提供边界。通过LSSolution进行解析后,可以得到解的值:

import localsolver.*;

public class Branin {
    public static void main(String [] args) {

        LocalSolver ls = new LocalSolver();
        LSModel model = ls.getModel();
        LSExpression f = model.doubleBlackBoxFunction(new LSDoubleBlackBoxFunction(){
        public double call(LSBlackBoxArgumentValues args){
            double x = args.getDoubleValue(0);
            double y = args.getDoubleValue(1);
            return Math.pow(y - (5.1 / (4.0 * Math.PI * Math.PI)) * x * x
                + 5.0 / Math.PI * x - 6, 2)
                + 10 * (1 - 1 / (8.0 * Math.PI)) * Math.cos(x) + 10;
        }
        });

        LSExpression x = model.floatVar(-5,10);
        LSExpression y = model.floatVar(0,15);
        LSExpression call = model.call();
        call.addOperand(f);
        call.addOperand(x);
        call.addOperand(y);
        model.minimize(call);
        model.close();

        f.getBlackBoxContext().setEvaluationLimit(20);
        ls.solve();

        LSBBSolution solution = ls.getSolution();
        System.out.println("x = " + solution.getDoubleValue(x));
        System.out.println("y = " + solution.getDoubleValue(y));
        System.out.println("obj = " + solution.getDoubleValue(call));
    }
}

待续。下一章节《Modeling guide for routing problems》模拟路由优化问题的数学模型指导

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