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# Class LinearOptimizationService

LinearOptimizationService

The linear optimization service, used to model and solve linear and mixed-integer linear programs. The example below solves the following linear program:

Two variables, x and y:
0 ≤ x ≤ 10
0 ≤ y ≤ 5

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

Objective:
Maximize x + y

var engine = LinearOptimizationService.createEngine();

// Add two variables, 0 <= x <= 10 and 0 <= y <= 5

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

// Create the constraint: 0 <= 10 * x + 3 * y <= 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
var 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'));
}

### Properties

PropertyTypeDescription
StatusStatusStatus of the solver.
VariableTypeVariableTypeType of variables created by the solver.

### Methods

MethodReturn typeBrief description
createEngine()LinearOptimizationEngineCreates an engine to to solve linear programs (potentially mixed-integer programs).

## Detailed documentation

### createEngine()

Creates an engine to to solve linear programs (potentially mixed-integer programs).

// Creates a linear optimization engine.
var engine = LinearOptimizationService.createEngine();