ILoConstraint.LowerBound

Syntax

LowerBound: Double;

Description

The LowerBound property determines a lower constraint limit.

Example

Sub Main;

Var

ZCU: LinearOptimization;

Vrbl: ILoVariable; //variable

Constr: ILoConstraint; //constraint

Addend: ILoAddend; //summand

Eq: ILoEquation; //equation

VarS: ILoVariables; //list of variables

ConstrS: ILoConstraints; //list of constraints

AddendS: ILoAddends; //list of summands

EqS: ILoEquations; //list of equations

ObjFun: ILoCriterionFunction; //criterion function

Res: ILoResults;

Retro: Array[1] Of Double;

I, J: Integer;

s: String;

Val: Double;

ci: ICultureInfo;

TimeInterval: Integer;

Begin

ZCU := New LinearOptimization.Create;

// VARIABLES

Retro := New Double[1];

Retro[0] := 1;

Vars := ZCU.Variables;

For I := 1 To 6 Do

s := "x" + i.ToString;

Vrbl := Vars.Add(s);

Vrbl.Retrospective := Retro;

End For;

//Constraints

ConstrS := ZCU.Constraints;

//====x1

For i := 1 To 6 Do

Constr := ConstrS.Add;

Constr.LowerBound := 0;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x1"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := i; //

End For;

Constr := ConstrS.Add;

Constr.LowerBound := 2;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x1"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := 7; //

//====x2

For i := 1 To 6 Do

Constr := ConstrS.Add;

Constr.LowerBound := 0;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x2"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := i; //

End For;

Constr := ConstrS.Add;

Constr.LowerBound := 2;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x2"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := 7; //

//====x3

For i := 1 To 6 Do

Constr := ConstrS.Add;

Constr.LowerBound := 0;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x3"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := i; //

End For;

Constr := ConstrS.Add;

Constr.LowerBound := 2;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x3"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := 7; //

//====x4

For i := 1 To 7 Do

Constr := ConstrS.Add;

Constr.LowerBound := 0;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x4"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := i; //

End For;

//====x5

For i := 1 To 7 Do

Constr := ConstrS.Add;

Constr.LowerBound := 0;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x5"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := i; //

End For;

//====x6

For i := 1 To 7 Do

Constr := ConstrS.Add;

Constr.LowerBound := 0;

Constr.UpperBound := 1e20;

AddendS := Constr.Addends;

Addend := AddendS.Add(Vars.FindById("x6"));

Addend.Coeff := 1; //variable held constant

Addend.Lag := i; //

End For;

//EQUATIONS

EqS := ZCU.Equations;

// EQUATION #1

Eq := EqS.Add;

AddendS := Eq.Addends;

Addend := Addends.Add(Vars.FindById("x1")); //left part

Addend.Coeff := 1; //variable held constant

Addend.Lag := 0; //lag

Addend := Addends.Add(Vars.FindById("x1")); //1st summand

Addend.Coeff := 0.5; //variable held constant

Addend.Lag := 1; //lag

Addend := Addends.Add(Vars.FindById("x2")); //2nd summand

Addend.Coeff := -0.3; //variable held constant

Addend.Lag := 1; //lag

Addend := Addends.Add(Vars.FindById("x3")); //3rd summand

Addend.Coeff := 0.1; //variable held constant

Addend.Lag := 1; //lag

Addend := Addends.Add(Vars.FindById("x4")); //4th summand

Addend.Coeff := 1; //variable held constant

Addend.Lag := 1; //lag

// EQUATION #2

Eq := EqS.Add;

AddendS := Eq.Addends;

Addend := Addends.Add(Vars.FindById("x2")); //left part

Addend.Coeff := 1; //variable held constant

Addend.Lag := 0; //lag

Addend := Addends.Add(Vars.FindById("x1")); //1st summand

Addend.Coeff := -0.2; //variable held constant

Addend.Lag := 1; //lag

Addend := Addends.Add(Vars.FindById("x2")); //2nd summand

Addend.Coeff := 0.1; //variable held constant

Addend.Lag := 1; //lag

Addend := Addends.Add(Vars.FindById("x5")); //3rd summand

Addend.Coeff := 1; //0.1;//variable held constant

Addend.Lag := 1; //lag

// EQUATION #3

Eq := EqS.Add;

AddendS := Eq.Addends;

Addend := Addends.Add(Vars.FindById("x3")); //left part

Addend.Coeff := 1; //variable held constant

Addend.Lag := 0; //lag

Addend := Addends.Add(Vars.FindById("x3")); //1st summand

Addend.Coeff := 0.1; //variable held constant

Addend.Lag := 1; //lag

Addend := Addends.Add(Vars.FindById("x6")); //2nd summand

Addend.Coeff := 1; //variable held constant

Addend.Lag := 1; //lag

// CRITERION FUNCTION

ObjFun := ZCU.CriterionFunction;

//=== x4

For i := 1 To 7 Do

Addend := ObjFun.Addends.Add(Vars.FindById("x4"));

Addend.Coeff := 1;

Addend.Lag := 7 - i;

End For;

//=== x5

For i := 1 To 7 Do

Addend := ObjFun.Addends.Add(Vars.FindById("x5"));

Addend.Coeff := 1;

Addend.Lag := 7 - i;

End For;

//=== x6

For i := 1 To 7 Do

Addend := ObjFun.Addends.Add(Vars.FindById("x6"));

Addend.Coeff := 1;

Addend.Lag := 7 - i;

End For;

TimeInterval := 7;

ZCU.Extremum := ExtremumType.Minimum;

Res := ZCU.Evaluate(TimeInterval) As ILoResults;

s := "Optimal value: " + Res.OptimalValue.ToString;

Debug.WriteLine(s);

s := Res.ErrorMsg + " (Code: " + Res.Status.ToString + ")";

Debug.WriteLine(s);

s := " ";

For j := 1 To Vars.Count Do

Vrbl := Vars.Item(j - 1);

s := s + Vrbl.Id + ", ";

End For;

Debug.WriteLine(s);

ci := CultureInfo.Current;

For i := 1 To TimeInterval Do

s := "t=" + i.ToString + ", ";

For j := 1 To Vars.Count Do

Vrbl := Vars.Item(j - 1);

Val := Res.VarValues(Vrbl.Id)[i - 1];

s := s + ci.FormatDoublePrec(Val, 6) + ", ";

End For;

Debug.WriteLine(s);

End For;

End Sub Main;

After executing the example the console window displays calculation results.