MixedIntegerNonlinearProgrammingProblem Class

Class MixedIntegerNonlinearProgrammingProblem represents a nonlinear programming problem.

Inheritance Hierarchy

SystemObject
  CenterSpace.NMath.CoreBoundedVariableProblem
    CenterSpace.NMath.CoreNonlinearProgrammingProblem
      CenterSpace.NMath.CoreMixedIntegerNonlinearProgrammingProblem

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

Copy

public class MixedIntegerNonlinearProgrammingProblem : NonlinearProgrammingProblem

Public Class MixedIntegerNonlinearProgrammingProblem
	Inherits NonlinearProgrammingProblem

public ref class MixedIntegerNonlinearProgrammingProblem : public NonlinearProgrammingProblem

type MixedIntegerNonlinearProgrammingProblem = 
    class
        inherit NonlinearProgrammingProblem
    end

The MixedIntegerNonlinearProgrammingProblem type exposes the following members.

Constructors

	Name	Description
	MixedIntegerNonlinearProgrammingProblem	Constructs an empty MixedIntegerNonlinearProgrammingProblem object.
	MixedIntegerNonlinearProgrammingProblem(DoubleFunctional)	Constructs a MixedIntegerNonlinearProgrammingProblem object with the given objective function.
	MixedIntegerNonlinearProgrammingProblem(DoubleFunctional, IEnumerableConstraint)	Constructws a MixedIntegerNonlinearProgrammingProblem object with the given objective function and constraints.
	MixedIntegerNonlinearProgrammingProblem(Int32, FuncDoubleVector, Double)	Constructws a MixedIntegerNonlinearProgrammingProblem object with the given objective function and constraints.
	MixedIntegerNonlinearProgrammingProblem(Int32, FuncDoubleVector, Double, IEnumerableConstraint)	Constructws a MixedIntegerNonlinearProgrammingProblem object with the given objective function and constraints.

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Properties

	Name	Description
	Constraints	Gets the constraints. (Inherited from NonlinearProgrammingProblem)
	IntegralVariableIndices	Gets the zero based indices of variables with integral constraints.
	NumVariables	Number of variables for the problem. (Inherited from NonlinearProgrammingProblem)
	ObjectiveFunction	Gets and sets the objective funtion to minimize. (Inherited from NonlinearProgrammingProblem)
	VariableBounds	Gets and sets variable bounds for the problem. (Inherited from BoundedVariableProblem)

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Methods

	Name	Description
	AddBinaryConstraint(Int32)	Adds a binary constraint to the variable at the given index. A binary constraint restricts the variable to a value of zero or one.
	AddBinaryConstraint(Int32)	Adds a binary constraint to the variables at the given indices. A binary constraint restricts the variable to a value of zero or one.
	AddBounds(Int32, Double, Double)	Adds upper and lower bound constraints to a variable. (Inherited from BoundedVariableProblem)
	AddBounds(Int32, Double, Double, Double)	Adds upper and lower bound constraints to a variable. (Inherited from BoundedVariableProblem)
	AddConstraint(Constraint)	Adds the given constraint to the problem. (Inherited from NonlinearProgrammingProblem)
	AddConstraint(DoubleFunctional, Double, Double)	Adds an inequality constraint of the form lowerBound <= constraintFunction(x) < upperBound (Inherited from NonlinearProgrammingProblem)
	AddConstraint(Int32, FuncDoubleVector, Double, Double, Double)	Adds an inequality constraint of the form lowerBound <= constraintFunction(x) < upperBound (Inherited from NonlinearProgrammingProblem)
	AddEqualityConstraint(DoubleFunctional, Double)	Adds an equality constraint of the form constraintFunction(x) = rightHandSide (Inherited from NonlinearProgrammingProblem)
	AddEqualityConstraint(Int32, FuncDoubleVector, Double, Double)	Adds an equality constraint of the form constraintFunction(x) = rightHandSide (Inherited from NonlinearProgrammingProblem)
	AddIntegralConstraint	Adds integral constraints to the variable at the given zero based indices. The indices must be between zero and number of variables minus one, inclusive.
	AddLinearConstraint(LinearConstraint)	Adds the given linear constraint to the problem. (Inherited from NonlinearProgrammingProblem)
	AddLinearConstraint(DoubleVector, Double, Double)	Adds a linear inequality constraint of the form lowerBound <= coefficients'x < upperBound (Inherited from NonlinearProgrammingProblem)
	AddLinearEqualityConstraint	Adds an equality constraint of the form coefficients'x = rightHandSide (Inherited from NonlinearProgrammingProblem)
	AddLinearLowerBoundConstraint	Adds a linear inequality constraint of the form coefficients'x >= lowerBound (Inherited from NonlinearProgrammingProblem)
	AddLinearUpperBoundConstraint	Adds a linear inequality constraint of the form coefficients'x <= upperBound (Inherited from NonlinearProgrammingProblem)
	AddLowerBound(Int32, Double)	Adds an lower bound constraint on the variable at the given index. (Inherited from BoundedVariableProblem)
	AddLowerBound(Int32, Double, Double)	Adds an lower bound constraint on the variable at the given index. (Inherited from BoundedVariableProblem)
	AddLowerBoundConstraint(DoubleFunctional, Double)	Adds an inequality constraint of the form constraintFunction(x) >= lowerBound (Inherited from NonlinearProgrammingProblem)
	AddLowerBoundConstraint(Int32, FuncDoubleVector, Double, Double)	Adds an inequality constraint of the form constraintFunction(x) >= lowerBound (Inherited from NonlinearProgrammingProblem)
	AddNonlinearConstraint	Adds the given nonlinear constraint to the problem. (Inherited from NonlinearProgrammingProblem)
	AddUpperBound(Int32, Double)	Adds an upper bound constraint on the variable at the given index. (Inherited from BoundedVariableProblem)
	AddUpperBound(Int32, Double, Double)	Adds an upper bound constraint on the variable at the given index. (Inherited from BoundedVariableProblem)
	AddUpperBoundConstraint(DoubleFunctional, Double)	Adds an inequality constraint of the form constraintFunction(x) <= upperBound (Inherited from NonlinearProgrammingProblem)
	AddUpperBoundConstraint(Int32, FuncDoubleVector, Double, Double)	Adds an inequality constraint of the form constraintFunction(x) <= upperBound (Inherited from NonlinearProgrammingProblem)
	CheckVariableIndex	Checks that the given variable index is valid. (Inherited from NonlinearProgrammingProblem)
	EvaluateConstraints	Evalutes each of the constraints at the specified point and returns the results. (Inherited from NonlinearProgrammingProblem)
	GetIntegrality	Gets the integral constraint state of the variable at the given zero based index.
	IsFeasiblePoint	Function for determining the feasibility of a give point. A point x is feasible if it satisfies all the constraints of the problem. (Inherited from NonlinearProgrammingProblem)
	PointIsFeasible(DoubleVector)	Function for determining the feasibility of a give point. A point x is feasible if it satisfies all the constraints of the problem. (Inherited from BoundedVariableProblem)
	PointIsFeasible(DoubleVector, Double)	Function for determining the feasibility of a give point. A point x is feasible if it satisfies all the constraints of the problem within a specified tolerance. (Inherited from BoundedVariableProblem)
	SetIntegrality	Sets an integrality constraint for the variable with the given zero based index.

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Fields

	Name	Description
	variableBounds_	Map containing variable bounds. Key is the variable ID, the value is the bounds. (Inherited from BoundedVariableProblem)

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Remarks

Nonlinear programming problems are of the form

minimize f(x) subject to
ci(x) == 0, for i in E,
ci(x) >= 0 for i in I,
xi an integer for i in J

where f is the objective function and the constraint functions ci are all smooth, real-valued functions on a subset of Rn, and I and E are finite index subsets of inequality and equality constraints, respectively and J are finite index subsets of variables with integral constraints.

Reference

CenterSpace.NMath.Core Namespace