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>> SOAL TABEL SIMPLEKS <<
>> Penyelesaian <<
Dari kasus diatas dapat dibuat suatu program untuk menunjang kemajuan perusahaan.
Tujuan memaximalkan Z = 50 x1 + 40 x2
Kendala-kendala:
0,4x1 + 0,5x2 < 326
0,5x1 + 0,3x2 < 354
0,05x1 + 0,1 < 62
Bentuk bakunya :
Z = 50x1 + 40x2 + 0.s1 +0.s2 + 0.s3
0,4x1 + 0,4x2 + s1 = 326
0,5x1 + 0,3x2 + s2 = 354
0,05x1 + 0,1 + s3 = 62
Tabel simpleks
VD Z X1 X2 S1 S2 S3 NK
Z 1 -50 -40 0 0 0 0
S1 0 0,4 0,5 1 0 0 326
S2 0 0,5 0,3 0 1 0 354
S3 0 0,05 0,1 0 0 1 62
Kolom kerja adalah nilai negatif terbesar
Baris pivot adalah perbandingan nilai solusi dengan nilai pada kolom kerja
S1 326 : 0,4 = 815
S2 354 : 0,5 = 708
S3 62 : 0,05 = 1240
Rubah semua nilai pada baris Pivot dengan cara membagi nilai lama bari pivot dengan baris pivot (0,5)
Maka tabel simpleks alan berubah
VD Z X1 X2 S1 S2 S3 NK
Z 1 -50 -40 0 0 0 0
S1 0 0,4 0,5 1 0 0 326
CB 0 1 0,6 0 2 0 708
S3 0 0,05 0,1 0 0 1 62
KOLOM KERJA
BARIS PIVOT
BARIS PIVOT
Lakukan interasi pertama
Rubah nilai dengan nilai baru dengan cara:
Nilai baru = nilai lama – (nilai kolom kerja X nilai baru baris pivot)
Tabel simpleks
VD Z CB X2 S1 S2 S3 NK
Z 1 0 -10 0 100 0 35400
S1 0 0,4 0,26 1 -0,8 0 32,8
CB 0 1 0,6 0 2 0 708
S3 0 0 0,07 0 -0,1 1 26,6
Karena masih terdapat nilai negatif pada baris CB dan PR, lakukan interasi kedua
Lakukan hal yang sama, yaitu tentukan dulu kolom kerja sampai menghitung nilai baru.
Tabel simpleks
VD Z CB PR S1 S2 S3 NK
Z 1 0 0 38,46 69,23 0 37046,15
PR 0 0 1 3,84 -3,07 0 164,61
CB 0 1 0 -2,30 3,84 0 609,23
S3 0 0 0 -0,26 0,11 1 15,07
Pada tabel diatas sudah tidak terdapat nilai negatif pada baris CB dan PR, maka didapatkan nilai :
max CB = 609,23
max PR = 164,61
__LANGKAH-LANGKAH MEMBUAT PROGRAM__ __TABEL SIMPLEKS__
1. Kita buat dahulu tabelnya, seperti berikut:2. Kita buat dalam 2 form
Form1
Koding Proses
Private Sub cmdproses_Click()
Form2.X1Z.Text = Form1.NCB.Text * -1
Form2.X2Z.Text = Form1.NPR.Text * -1
Form2.CBS1.Text = Form1.CB1.Text
Form2.PRS1.Text = Form1.PR1.Text
Form2.CBS2.Text = Form1.CB2.Text
Form2.PRS2.Text = Form1.PR2.Text
Untuk Menampilkan form2 dari Form1
Form2.CBS3.Text = Form1.CB3.Text
Form2.PRS3.Text = Form1.PR3.Text
Form2.HNK1.Text = Form1.NK1.Text
Form2.HNK2.Text = Form1.NK2.Text
Form2.HNK3.Text = Form1.NK3.Text
Form2.Show
End Sub
Koding UlangPrivate Sub cmdulang_Click()
NCB.Text = ""
NPR.Text = ""
CB1.Text = ""
PR1.Text = ""
CB2.Text = ""
PR2.Text = ""
CB3.Text = ""
PR3.Text = ""
NK1.Text = ""
NK2.Text = ""
NK3.Text = ""
End Sub
Koding KeluarPrivate Sub cmdkeluar_Click()
End
End Sub
Form2
Koding ProsesPrivate Sub cmdproses_Click()
ZZ.Text = 1
S1Z.Text = 0
S2Z.Text = 0
S3Z.Text = 0
NKZ.Text = 0
S1CB.Text = 1
S2PR.Text = 1
S3INS.Text = 1
ZS1.Text = 0
S2CB.Text = 0
S3CB.Text = 0
ZS2.Text = 0
S1PR.Text = 0
S3PR.Text = 0
ZS3.Text = 0
S1INS.Text = 0
S2INS.Text = 0
gembul:
For i = 1 To 2
If X1Z.Text < X2Z.Text Then
VKK.Text = "KOLOM PORTABLE"
End If
If X2Z.Text < X1Z.Text Then
VKK.Text = "KOLOM CB"
Else
If X1Z.Text = X2Z.Text Then
VKK.Text = "KOLOM CB"
End If
End If
Next i
Dim S1 As Integer
Dim S2 As Integer
Dim S3 As Integer
If VKK.Text = "KOLOM CB" Then
S1 = Val(HNK1.Text / CBS1.Text)
S2 = Val(HNK2.Text / CBS2.Text)
S3 = Val(HNK3.Text / CBS3.Text)
If S1 < S2 Then
VPB = "S1"
Else
If S2 < S3 Then
VPB = "S2"
Else
VPB = "S3"
End If
End If
End If
If VKK.Text = "KOLOM PORTABLE" Then
S1 = Val(HNK1.Text / PRS1.Text)
S2 = Val(HNK2.Text / PRS2.Text)
S3 = Val(HNK3.Text / PRS3.Text)
If S1 < S2 Then
VPB = "S1"
Else
If S2 < S3 Then
VPB = "S2"
Else
VPB = "S3"
End If
End If
End If
If VKK.Text = "KOLOM CB" Then
If VPB = "S1" Then
PRS1.Text = Val(PRS1.Text / CBS1.Text)
HNK1.Text = Val(HNK1.Text / CBS1.Text)
S1CB.Text = Val(S1CB.Text / CBS1.Text)
CBS1.Text = Val(CBS1.Text / CBS1.Text)
LabelS1.Caption = "CB"
End If
End If
If VKK.Text = "KOLOM CB" Then
If VPB = "S2" Then
S2PR.Text = Val(S2PR.Text / CBS2.Text)
PRS2.Text = Val(PRS2.Text / CBS2.Text)
HNK2.Text = Val(HNK2.Text / CBS2.Text)
CBS2.Text = Val(CBS2.Text / CBS2.Text)
LabelS2.Caption = "CB"
End If
End If
If VKK.Text = "KOLOM CB" Then
If VPB = "S3" Then
PRS3.Text = Val(PRS3.Text / CBS3.Text)
S3INS.Text = Val(S3INS.Text / CBS3.Text)
HNK3.Text = Val(HNK3.Text / CBS3.Text)
CBS3.Text = Val(CBS3.Text / CBS3.Text)
LabelS3.Caption = "CB"
End If
End If
If VKK.Text = "KOLOM PORTABLE" Then
If VPB = "S1" Then
CBS1.Text = CBS1.Text / (PRS1.Text)
HNK1.Text = Val(HNK1.Text / PRS1.Text)
S1CB.Text = Val(S1CB.Text / PRS1.Text)
PRS1.Text = Val(PRS1.Text / PRS1.Text)
LabelS1.Caption = "PR"
End If
End If
If VKK.Text = "KOLOM PORTABLE" Then
If VPB = "S2" Then
S2PR.Text = Val(S2PR.Text / PRS2.Text)
HNK2.Text = Val(HNK2.Text / PRS2.Text)
CBS2.Text = Val(CBS2.Text / PRS2.Text)
PRS2.Text = Val(PRS2.Text / PRS2.Text)
LabelS2.Caption = "PR"
ElseIf VKK.Text = "KOLOM PORTABLE" Then
If VPB = "S3" Then
S3INS.Text = Val(S3INS.Text / PRS3.Text)
HNK3.Text = Val(HNK3.Text / PRS3.Text)
CBS3.Text = Val(CBS3.Text / PRS3.Text)
PRS3.Text = Val(PRS3.Text / PRS3.Text)
LabelS3.Caption = "PR"
End If
End If
End If
If VKK.Text = "KOLOM CB" Then
If VPB.Text = "S1" Then
ZZ.Text = Val(ZZ.Text) - Val(X1Z.Text * ZS1.Text)
X2Z.Text = Val(X2Z.Text) - Val(X1Z.Text * PRS1.Text)
S1Z.Text = Val(S1Z.Text) - Val(X1Z.Text * S1CB.Text)
S2Z.Text = Val(S2Z.Text) - Val(X1Z.Text * S2CB.Text)
S3Z.Text = Val(S3Z.Text) - Val(X1Z.Text * S3CB.Text)
NKZ.Text = Val(NKZ.Text) - Val(X1Z.Text * HNK1.Text)
X1Z.Text = Val(X1Z.Text) - Val(X1Z.Text * CBS1.Text)
ZS2.Text = ZS2.Text - Val(CBS2.Text * ZS1.Text)
PRS2.Text = Val(PRS2.Text) - Val(CBS2.Text * PRS1.Text)
S1PR.Text = Val(S1PR.Text) - Val(CBS2.Text * S1CB.Text)
S2PR.Text = Val(S2PR.Text) - Val(CBS2.Text * S2CB.Text)
S3PR.Text = Val(S3PR.Text) - Val(CBS2.Text * S3CB.Text)
HNK2.Text = Val(HNK2.Text) - Val(CBS2.Text * HNK1.Text)
CBS2.Text = Val(CBS2.Text) - Val(CBS2.Text * CBS1.Text)
ZS3.Text = ZS3.Text - Val(CBS3.Text * ZS1.Text)
PRS3.Text = Val(PRS3.Text) - Val(CBS3.Text * PRS1.Text)
S1INS.Text = Val(S1INS.Text) - Val(CBS3.Text * S1CB.Text)
S2INS.Text = Val(S2INS.Text) - Val(CBS3.Text * S2CB.Text)
S3INS.Text = Val(S3INS.Text) - Val(CBS3.Text * S3CB.Text)
HNK3.Text = Val(HNK3.Text) - Val(CBS3.Text * HNK1.Text)
CBS3.Text = Val(CBS3.Text) - Val(CBS3.Text * CBS1.Text)
Else
If VPB.Text = "S2" Then
ZZ.Text = Val(ZZ.Text) - Val(X1Z.Text * ZS2.Text)
X2Z.Text = Val(X2Z.Text) - Val(X1Z.Text * PRS2.Text)
S1Z.Text = Val(S1Z.Text) - Val(X1Z.Text * S1PR.Text)
S2Z.Text = Val(S2Z.Text) - Val(X1Z.Text * S2PR.Text)
S3Z.Text = Val(S3Z.Text) - Val(X1Z.Text * S3PR.Text)
NKZ.Text = Val(NKZ.Text) - Val(X1Z.Text * HNK2.Text)
X1Z.Text = Val(X1Z.Text) - Val(X1Z.Text * CBS2.Text)
ZS1.Text = Val(ZS1.Text) - Val(CBS1.Text * ZS2.Text)
PRS1.Text = Val(PRS1.Text) - Val(CBS1.Text * PRS2.Text)
S1CB.Text = Val(S1CB.Text) - Val(CBS1.Text * S1PR.Text)
S2CB.Text = Val(S2CB.Text) - Val(CBS1.Text * S2PR.Text)
S3CB.Text = Val(S3CB.Text) - Val(CBS1.Text * S3PR.Text)
HNK1.Text = Val(HNK1.Text) - Val(CBS1.Text * HNK2.Text)
CBS1.Text = Val(CBS1.Text) - Val(CBS1.Text * CBS2.Text)
ZS3.Text = Val(ZS3.Text) - Val(CBS3.Text * ZS2.Text)
PRS3.Text = Val(PRS3.Text) - Val(CBS3.Text * PRS2.Text)
S1INS.Text = Val(S1INS.Text) - Val(CBS3.Text * S1PR.Text)
S2INS.Text = Val(S2INS.Text) - Val(CBS3.Text * S2PR.Text)
S3INS.Text = Val(S3INS.Text) - Val(CBS3.Text * S3PR.Text)
HNK3.Text = Val(HNK3.Text) - Val(CBS3.Text * HNK2.Text)
CBS3.Text = Val(CBS3.Text) - Val(CBS3.Text * CBS2.Text)
Else
If VPB = "S3" Then
ZZ.Text = Val(ZZ.Text) - Val(X1Z.Text * ZS2.Text)
X2Z.Text = Val(X2Z.Text) - Val(X1Z.Text * PRS3.Text)
S1Z.Text = Val(S1Z.Text) - Val(X1Z.Text * S1INS.Text)
S2Z.Text = Val(S2Z.Text) - Val(X1Z.Text * S2INS.Text)
S3Z.Text = Val(S3Z.Text) - Val(X1Z.Text * S3INS.Text)
NKZ.Text = Val(NKZ.Text) - Val(X1Z.Text * HNK3.Text)
X1Z.Text = Val(X1Z.Text) - Val(X1Z.Text * CBS3.Text)
ZS1.Text = Val(ZS1.Text) - Val(CBS1.Text * ZS3.Text)
PRS1.Text = Val(PRS1.Text) - Val(CBS1.Text * PRS3.Text)
S1CB.Text = Val(S1CB.Text) - Val(CBS1.Text * S1INS.Text)
S2CB.Text = Val(S2CB.Text) - Val(CBS1.Text * S2INS.Text)
S3CB.Text = Val(S3CB.Text) - Val(CBS1.Text * S3INS.Text)
HNK1.Text = Val(HNK1.Text) - Val(CBS1.Text * HNK3.Text)
CBS1.Text = Val(CBS1.Text) - Val(CBS1.Text * CBS3.Text)
ZS2.Text = Val(ZS2.Text) - Val(CBS2.Text * ZS3.Text)
PRS2.Text = Val(PRS2.Text) - Val(CBS2.Text * PRS3.Text)
S1PR.Text = Val(S1PR.Text) - Val(CBS2.Text * S1INS.Text)
S2PR.Text = Val(S2PR.Text) - Val(CBS2.Text * S2INS.Text)
S3PR.Text = Val(S3PR.Text) - Val(CBS2.Text * S3INS.Text)
HNK2.Text = Val(HNK2.Text) - Val(CBS2.Text * HNK3.Text)
CBS2.Text = Val(CBS2.Text) - Val(CBS2.Text * CBS3.Text)
End If
End If
End If
End If
If VKK.Text = "KOLOM PORTABLE" Then
If VPB.Text = "S1" Then
ZZ.Text = Val(ZZ.Text) - Val(X2Z.Text * ZS1.Text)
S1Z.Text = Val(S1Z.Text) - Val(X2Z.Text * S1CB.Text)
S2Z.Text = Val(S2Z.Text) - Val(X2Z.Text * S2CB.Text)
S3Z.Text = Val(S3Z.Text) - Val(X2Z.Text * S3CB.Text)
NKZ.Text = Val(NKZ.Text) - Val(X2Z.Text * HNK1.Text)
X1Z.Text = Val(X1Z.Text) - Val(X2Z.Text * CBS1.Text)
X2Z.Text = Val(X2Z.Text) - Val(X2Z.Text * PRS1.Text)
ZS2.Text = Val(ZS2.Text) - Val(PRS2.Text * ZS1.Text)
S1PR.Text = Val(S1PR.Text) - Val(PRS2.Text * S1CB.Text)
S2PR.Text = Val(S2PR.Text) - Val(PRS2.Text * S2CB.Text)
S3PR.Text = Val(S3PR.Text) - Val(PRS2.Text * S3CB.Text)
HNK2.Text = Val(HNK2.Text) - Val(PRS2.Text * HNK1.Text)
CBS2.Text = Val(CBS2.Text) - Val(PRS2.Text * CBS1.Text)
PRS2.Text = Val(PRS2.Text) - Val(PRS2.Text * PRS1.Text)
ZS3.Text = Val(ZS3.Text) - Val(PRS3.Text * ZS1.Text)
CBS3.Text = Val(CBS3.Text) - Val(PRS3.Text * CBS1.Text)
S1INS.Text = Val(S1INS.Text) - Val(PRS3.Text * S1CB.Text)
S2INS.Text = Val(S2INS.Text) - Val(PRS3.Text * S2CB.Text)
S3INS.Text = Val(S3INS.Text) - Val(PRS3.Text * S3CB.Text)
HNK3.Text = Val(HNK3.Text) - Val(PRS3.Text * HNK1.Text)
PRS3.Text = Val(PRS3.Text) - Val(PRS3.Text * PRS1.Text)
Else
If VPB = "S2" Then
ZZ.Text = Val(ZZ.Text) - Val(X2Z.Text * ZS2.Text)
S1Z.Text = Val(S1Z.Text) - Val(X2Z.Text * S1PR.Text)
S2Z.Text = Val(S2Z.Text) - Val(X2Z.Text * S2PR.Text)
S3Z.Text = Val(S3Z.Text) - Val(X2Z.Text * S3PR.Text)
NKZ.Text = Val(NKZ.Text) - Val(X2Z.Text * HNK2.Text)
X1Z.Text = Val(X1Z.Text) - Val(X2Z.Text * CBS2.Text)
X2Z.Text = Val(X2Z.Text) - Val(X2Z.Text * PRS2.Text)
ZS1.Text = Val(ZS1.Text) - Val(PRS1.Text * ZS2.Text)
CBS1.Text = Val(CBS1.Text) - Val(PRS1.Text * CBS2.Text)
S1CB.Text = Val(S1CB.Text) - Val(PRS1.Text * S1PR.Text)
S2CB.Text = Val(S2CB.Text) - Val(PRS1.Text * S2PR.Text)
S3CB.Text = Val(S3CB.Text) - Val(PRS1.Text * S3PR.Text)
HNK1.Text = Val(HNK1.Text) - Val(PRS1.Text * HNK2.Text)
PRS1.Text = Val(PRS1.Text) - Val(PRS1.Text * PRS2.Text)
ZS3.Text = Val(ZS3.Text) - Val(PRS3.Text * ZS2.Text)
CBS3.Text = Val(CBS3.Text) - Val(PRS3.Text * CBS2.Text)
S1INS.Text = Val(S1INS.Text) - Val(PRS3.Text * S1PR.Text)
S2INS.Text = Val(S2INS.Text) - Val(PRS3.Text * S2PR.Text)
S3INS.Text = Val(S3INS.Text) - Val(PRS3.Text * S3PR.Text)
HNK3.Text = Val(HNK3.Text) - Val(PRS3.Text * HNK2.Text)
PRS3.Text = Val(PRS3.Text) - Val(PRS3.Text * PRS2.Text)
Else
If VPB.Text = "S3" Then
ZZ.Text = Val(ZZ.Text) - Val(X2Z.Text * ZS2.Text)
X1Z.Text = Val(X1Z.Text) - Val(X2Z.Text * CBS3.Text)
S1Z.Text = Val(S1Z.Text) - Val(X2Z.Text * S1INS.Text)
S2Z.Text = Val(S2Z.Text) - Val(X2Z.Text * S2INS.Text)
S3Z.Text = Val(S3Z.Text) - Val(X2Z.Text * S3INS.Text)
NKZ.Text = Val(NKZ.Text) - Val(X2Z.Text * HNK3.Text)
X2Z.Text = Val(X2Z.Text) - Val(X2Z.Text * PRS3.Text)
ZS1.Text = Val(ZS1.Text) - Val(PRS1.Text * ZS3.Text)
CBS1.Text = Val(CBS1.Text) - Val(PRS1.Text * CBS3.Text)
S1CB.Text = Val(S1CB.Text) - Val(PRS1.Text * S1INS.Text)
S2CB.Text = Val(S2CB.Text) - Val(PRS1.Text * S2INS.Text)
S3CB.Text = Val(S3CB.Text) - Val(PRS1.Text * S3INS.Text)
HNK1.Text = Val(HNK1.Text) - Val(PRS1.Text * HNK3.Text)
PRS1.Text = Val(PRS1.Text) - Val(PRS1.Text * PRS3.Text)
ZS2.Text = Val(ZS2.Text) - Val(CBS2.Text * ZS3.Text)
CBS2.Text = Val(CBS2.Text) - Val(PRS2.Text * CBS3.Text)
S1PR.Text = Val(S1PR.Text) - Val(PRS2.Text * S1INS.Text)
S2PR.Text = Val(S2PR.Text) - Val(PRS2.Text * S2INS.Text)
S3PR.Text = Val(S3PR.Text) - Val(PRS2.Text * S3INS.Text)
HNK2.Text = Val(HNK2.Text) - Val(PRS2.Text * HNK3.Text)
PRS2.Text = Val(PRS2.Text) - Val(PRS2.Text * PRS3.Text)
End If
End If
End If
End If
If X1Z.Text < 0 Then
GoTo gembul:
End If
End Sub
Koding KeluarPrivate Sub cmdkeluar_Click()
End
End Sub
