Peta Kendali Variabel
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Transcript of Peta Kendali Variabel
Peta KendaliVariabel
• Menggambarkan variasi atau penyimpangan yg terjadi pd kecenderungan data variabel
• Kondisi in-out of control tapi tdk identik dg kepuasan pelanggan
Manfaat…
• Perbaikan kualitas• Menentukan kemampuan proses • Membuat keputusan berkaitan dg
proses produksi dan produk yg dihasilkan
Tahapan…
1. Pemilihan karakteristik kualitas– panjang, berat, volume, waktu– Mempengaruhi kinerja produk– Pemilihan karakteristik dg Diagram
Pareto
Ukuran Sampel menurut Inspeksi Normal ANSI/ASQC Z1.9-1993
Byknya produk yg dihasilkan Ukuran Sampel
91 – 150151 – 280281 – 400401 – 500
501 – 12001201 – 3200
3201 – 1000010001 – 3500035001 - 150000
10152025355075100150
2. Pemilihan Sub Kelompok
3. Pengumpulan Data4. Penentuan Batas Kendali untuk
peta X-R dan Nilai Faktor Guna
X Chart
Range for sample i
# Samples
Mean for sample i
From Table Nilai Guna
RAxxLCL
RAxxUCL
n
R R
i
n
1i
n
xi
n
ix
Nilai Faktor Guna
Sample Size, n
Mean Factor, A2
Upper Range, D4
Lower Range, D3
2 1.880 3.268 0
3 1.023 2.574 0
4 0.729 2.282 0
5 0.577 2.115 0
6 0.483 2.004 0
7 0.419 1.924 0.076
8 0.373 1.864 0.136
9 0.337 1.816 0.184
10 0.308 1.777 0.223
12 0.266 1.716 0.284 0.184
R Chart
Range for Sample i
# Samples
From Table Nilai Guna
n
R R
R D LCL
R D UCL
i
n
1i
3R
4R
Process Capability Ratio, Cp
process the of deviation standard
6σionSpecificat LowerionSpecificat Upper
pC
Process Capability Cpk
population process the of deviation standard mean process x where
LimitionSpecificatLower x
or , x Limit ionSpecificatUpper
of minimum
3
3pkC
Assumes that the process is:• under control• normally distributed
Examples: Compute the 3 control charts for X and R from 15 samples of size n=3. Plot the control limits and the X and R values and comment about the underlying process. Sample OBSERVED DIMENSIONS (cm)
1 4.843 4.863 4.859 2 4.925 4.882 4.891 3 4.866 4.914 4.873 4 4.852 4.883 4.88 5 4.92 4.884 4.821 6 4.915 4.902 4.898 7 4.887 4.892 4.858 8 4.868 4.888 4.842 9 4.904 4.863 4.866 10 4.921 4.92 4.894 11 4.914 4.884 4.899 12 4.892 4.896 4.887 13 4.866 4.829 4.88 14 4.85 4.875 4.872 15 4.867 4.9 4.885
Sample OBSERVED DIMENSIONS (cm) mean range1 4.843 4.863 4.859 4.855 0.0202 4.925 4.882 4.891 4.899 0.0433 4.866 4.914 4.873 4.884 0.0484 4.852 4.883 4.88 4.872 0.0315 4.92 4.884 4.821 4.875 0.0996 4.915 4.902 4.898 4.905 0.0177 4.887 4.892 4.858 4.879 0.0348 4.868 4.888 4.842 4.866 0.0469 4.904 4.863 4.866 4.878 0.041
10 4.921 4.92 4.894 4.912 0.02711 4.914 4.884 4.899 4.899 0.03012 4.892 4.896 4.887 4.892 0.00913 4.866 4.829 4.88 4.858 0.05114 4.85 4.875 4.872 4.866 0.02515 4.867 4.9 4.885 4.884 0.033
4.882 0.037
844.4)037(.023.1882.4
920.4)037(.023.1882.4
x
x
LCL
UCL
x Chart
Six Sigma Control Chart (x-bar)
4.840
4.850
4.860
4.870
4.880
4.890
4.900
4.910
4.920
4.930
0 2 4 6 8 10 12 14 16
Observation
cm
Sample Mean
Upper Control Limit
Lower Control Limit
Center Line
R- Chart
0951.037.57.24 RD
0037.03 RD
Range Example
0
0.02
0.04
0.06
0.08
0.1
0.12
0 2 4 6 8 10 12 14 16
Sample Number
ran
ge
(cm
) Upper Control Limit
Center Line
Lower Control Limit
Sample Range
ContohNo
Hasil Pengukuran X ֿ R
12345678910
20,22,21,23,2219,18,22,20,2025,18,20,17,2220,21,22,21,2119,24,23,22,2022,20,18,18,1918,20,19,18,2020,18,23,20,2121,20,24,23,2221,19,20,20,20
Jumlah/Rata-rata
n =A2 =D4 =D3 =• CL = • UCL =• LCL =
n = 5A2 = 0,577D4 = 2,115D3 = 0• CL = • UCL =• LCL =
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