Class LinearOptimizationService

线性优化服务

线性优化服务,用于对线性和混合整数线性规划进行建模和求解。以下示例会解题以下线性规划:

两个变量 xy
0 ≤ x ≤ 10
0 ≤ y ≤ 5

限制:
0 ≤ 2 * x + 5 * y ≤ 10
0 ≤ 10 * x + 3 * y ≤ 20

目标:
尽可能提高 x + y

const engine = LinearOptimizationService.createEngine();

// Add variables, constraints and define the objective using addVariable(),
// addConstraint(), etc. Add two variables, 0 <= x <= 10 and 0 <= y <= 5
engine.addVariable('x', 0, 10);
engine.addVariable('y', 0, 5);

// Create the constraint: 0 <= 2 * x + 5 * y <= 10
let constraint = engine.addConstraint(0, 10);
constraint.setCoefficient('x', 2);
constraint.setCoefficient('y', 5);

// Create the constraint: 0 <= 10 * x + 3 * y <= 20
constraint = engine.addConstraint(0, 20);
constraint.setCoefficient('x', 10);
constraint.setCoefficient('y', 3);

// Set the objective to be x + y
engine.setObjectiveCoefficient('x', 1);
engine.setObjectiveCoefficient('y', 1);

// Engine should maximize the objective.
engine.setMaximization();

// Solve the linear program
const solution = engine.solve();
if (!solution.isValid()) {
  Logger.log(`No solution ${solution.getStatus()}`);
} else {
  Logger.log(`Value of x: ${solution.getVariableValue('x')}`);
  Logger.log(`Value of y: ${solution.getVariableValue('y')}`);
}

属性

属性类型说明
StatusStatus求解器的状态。
VariableTypeVariableType求解器创建的变量的类型。

方法

方法返回类型简介
createEngine()LinearOptimizationEngine创建一个引擎来求解线性规划(可能为混合整数规划)。

详细文档

createEngine()

创建一个引擎来求解线性规划(可能为混合整数规划)。

// Creates a linear optimization engine.
const engine = LinearOptimizationService.createEngine();
engine.addVariable('x', 0, 10);

// ...

返回

LinearOptimizationEngine - 线性优化引擎