ISmLinearProgramming.MethodType

Syntax

Description

The MethodType property determines the method for solving a problem of linear programming.

Comments

To get the found solution, use the ISmLinearProgramming.Solution property.

Example

To execute the example, add a link to the Stat system assembly.

Sub UserProc;
Var
    LP: SmLinearProgramming;
    CF, Lb, Ub, LinC1, LinC2: Array[4] Of Double;
    Z: Array[4] Of Integer;
    Bound: ISlBoundaryRegion;
    LCon1, LCon2: ISlLinearConstraint;
    i, Res: Integer;
    OptVal: Double;
    Sol: Array Of Double;
Begin
    LP := New SmLinearProgramming.Create;
    CF[0] := 5;  Lb[0] := 0; Ub[0] := 5;  LinC1[0] := 2; LinC2[0] := 3;
    CF[1] := -7; Lb[1] := 0; Ub[1] := 10; LinC1[1] := 4; LinC2[1] := 3;
    CF[2] := 2;  Lb[2] := 0; Ub[2] := 5;  LinC1[2] := 1; LinC2[2] := 0;
    CF[3] := -2; Lb[3] := 0; Ub[3] := 5;  LinC1[3] := 0; LinC2[3] := 2;
    LP.InitialApproximation.AutoCreate := True;
    // Criterion function
    LP.CriterionFunction := CF;
    Bound := LP.Boundary;
    // Lower and upper area borders
    Bound.BoundaryLower := Lb;
    Bound.BoundaryUpper := Ub;
    // === First linear constraint ===
    LCon1 := LP.LinearConstraints.Add;
    // Linear constraint coefficients
    LCon1.Value := LinC1;
    // Lower and upper linear constraints
    LCon1.BoundaryLower := -100;
    LCon1.BoundaryUpper := 100;
    // === Second linear constraint ===
    LCon2 := LP.LinearConstraints.Add;
    // Linear constraint coefficients
    LCon2.Value := LinC2;
    // Lower and upper linear constraints
    LCon2.BoundaryLower := -100;
    LCon2.BoundaryUpper := 90;
    // Vector of logical values
    Z[0]:=1; Z[1]:=1; Z[2]:=1; Z[3]:=1;
    lp.IntVec:=Z;
    // Problem solution method
    LP.MethodType := LPMethodType.SimplexDualPrimal;
    Res := LP.Execute;
    If Res <> 0 Then
        Debug.WriteLine(LP.Errors);
        Else
            Debug.WriteLine("== Criterion function value ==");
            OptVal := LP.OptimalFunctionValue;
            Debug.WriteLine(OptVal.ToString);
            Debug.WriteLine("== Solution ==");
            Sol := LP.Solution;
            For i := 0 To LP.Solution.Length-1 Do
                Debug.WriteLine(i.ToString+" = "+Sol[i].ToString);
            End For;
    End If;
End Sub UserProc;

After executing the example the console window displays the found solution and criterion function value corresponding to this solution.