Optimization Service

    • The linear optimization service is used to model and solve linear and mixed-integer linear programs.

    • Key classes for this service include LinearOptimizationConstraint , LinearOptimizationEngine , LinearOptimizationService , and LinearOptimizationSolution .

    • The LinearOptimizationEngine is used to build the linear program model by adding constraints and variables, and setting the optimization direction.

    • The LinearOptimizationSolution provides methods to retrieve the objective value, the status of the solution, and the values of the variables.

    • The Status property indicates the result of the solve operation, such as OPTIMAL , FEASIBLE , or INFEASIBLE .
    Optimization

    The linear optimization service, used to model and solve linear and mixed-integer linear programs.

    Classes

    Name Brief description
    Linear Optimization Constraint Object storing a linear constraint of the form lower Bound ≤ Sum(a(i) x(i)) ≤ upperBound where lower Bound and upper Bound are constants, a(i) are constant coefficients and x(i) are variables (unknowns).
    Linear Optimization Engine The engine used to model and solve a linear program.
    Linear Optimization Service The linear optimization service, used to model and solve linear and mixed-integer linear programs.
    Linear Optimization Solution The solution of a linear program.
    Status Status of the solution.
    Variable Type Type of variables created by the engine.

    Linear Optimization Constraint

    Methods

    Method Return type Brief description
    set Coefficient(variableName, coefficient)
    		Linear Optimization Constraint Sets the coefficient of a variable in the constraint.

    Linear Optimization Engine

    Methods

    Method Return type Brief description
    add Constraint(lowerBound, upperBound)
    		Linear Optimization Constraint Adds a new linear constraint in the model.
    add Constraints(lowerBounds, upperBounds, variableNames, coefficients)
    		Linear Optimization Engine Adds constraints in batch to the model.
    add Variable(name, lowerBound, upperBound)
    		Linear Optimization Engine Adds a new continuous variable to the model.
    add Variable(name, lowerBound, upperBound, type)
    		Linear Optimization Engine Adds a new variable to the model.
    add Variable(name, lowerBound, upperBound, type, objectiveCoefficient)
    		Linear Optimization Engine Adds a new variable to the model.
    add Variables(names, lowerBounds, upperBounds, types, objectiveCoefficients)
    		Linear Optimization Engine Adds variables in batch to the model.
    set Maximization()
    		Linear Optimization Engine Sets the optimization direction to maximizing the linear objective function.
    set Minimization()
    		Linear Optimization Engine Sets the optimization direction to minimizing the linear objective function.
    set Objective Coefficient(variableName, coefficient)
    		Linear Optimization Engine Sets the coefficient of a variable in the linear objective function.
    solve()
    		Linear Optimization Solution Solves the current linear program with the default deadline of 30 seconds.
    solve(seconds)
    		Linear Optimization Solution Solves the current linear program.

    Linear Optimization Service

    Properties

    Property Type Description
    Status
    		Status Status of the solver.
    Variable Type
    		Variable Type Type of variables created by the solver.

    Methods

    Method Return type Brief description
    create Engine()
    		Linear Optimization Engine Creates an engine to to solve linear programs (potentially mixed-integer programs).

    Linear Optimization Solution

    Methods

    Method Return type Brief description
    get Objective Value()
    		Number Gets the value of the objective function in the current solution.
    get Status()
    		Status Gets the status of the solution.
    get Variable Value(variableName)
    		Number Gets the value of a variable in the solution created by the last call to Linear Optimization Engine.solve() .
    is Valid()
    		Boolean Determines whether the solution is either feasible or optimal.

    Status

    Properties

    Property Type Description
    OPTIMAL
    		Enum Status when an optimal solution has been found.
    FEASIBLE
    		Enum Status when a feasible (not necessarily optimal) solution has been found.
    INFEASIBLE
    		Enum Status when the current model is unfeasible (has no solution).
    UNBOUNDED
    		Enum Status when the current model is unbound.
    ABNORMAL
    		Enum Status when it failed to find a solution for unexpected reasons.
    MODEL_INVALID
    		Enum Status when the model is invalid.
    NOT_SOLVED
    		Enum Status when Linear Optimization Engine.solve() has not been called yet.

    Variable Type

    Properties

    Property Type Description
    INTEGER
    		Enum Type of variable that can only take integer values.
    CONTINUOUS
    		Enum Type of variable that can take any real value.
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