measuring capability with atribut data.pptx
-
Upload
anggrek-puspasari -
Category
Documents
-
view
224 -
download
0
Transcript of measuring capability with atribut data.pptx
-
7/28/2019 measuring capability with atribut data.pptx
1/49
Copyright Wondershare Software
Measuring Capabilitywith Attribute Data
Nama
Kelompok
:
1. Ajeng
Kusumaningtyas
Putri
Ananto
1310100034
2. Ratna
Nurul
Hidayah
1310100044
3. Ani
Satul
Ruyati
Badriyah
1310100061
4. Siti
Maghfirotul
Ulyah
1310100701
-
7/28/2019 measuring capability with atribut data.pptx
2/49
Copyright Wondershare Software
Remember
Kecacatan per
unit sampel
Kecacatan dalam
keseluruhan sampel
Pemilihan peta
Atribut yang cocok
Ukuran Subgrup
sama
Yes No
Ukuran Subgrup
sama
Yes No
Peta np Peta p Peta uPeta c
-
7/28/2019 measuring capability with atribut data.pptx
3/49
Copyright Wondershare Software
Review: Peta AtributPeta np
Peta p
Peta c
Peta u
-
7/28/2019 measuring capability with atribut data.pptx
4/49
Copyright Wondershare Software
Do you know?? Dalam data atribut, Ukuran kapabilitas terbagi 4 :
Equivalent
Equivalent
Equivalent
PKP%
PP%
RP%
LTTOTALppm .
-
7/28/2019 measuring capability with atribut data.pptx
5/49
Copyright Wondershare Software
Definisi
-
7/28/2019 measuring capability with atribut data.pptx
6/49
Copyright Wondershare Software
Definisi
-
7/28/2019 measuring capability with atribut data.pptx
7/49Copyright Wondershare Software
Review: Peta AtributPeta np
Peta p
Peta c
Peta u
-
7/28/2019 measuring capability with atribut data.pptx
8/49Copyright Wondershare Software
Peta np
Peta kendali np untuk memetakan jumlah item yangcacat. Batas kendali untuk peta kendali np adalah
ppnpnUCL 13
ppnpnLCL 13
Estimasi rata-rata proses=k
np
pnpn
k
i
i 1'
)(
-
7/28/2019 measuring capability with atribut data.pptx
9/49Copyright Wondershare Software
contoh Crack pistons
Hydraulic pistons are checked in certainarea for the presence of crack. When acrack is detected, the piston sisimmediately scrapped. No time is spentlooking for a second or third crack since
one crack is all it takes to make the pistonnonconforming. As each piston is judgedto be either conforming (no crack) ornonconforming (cracked) the binomial
output model is appropriate.
-
7/28/2019 measuring capability with atribut data.pptx
10/49Copyright Wondershare Software
contoh Crack pistons
n=50 , subgroup(k)=12,
subgroup 1 2 3 4 5 6 7 8 9 10 11 12
np 2 3 0 1 1 7 0 4 1 2 0 2
92.112
23)(
12
1'
k
np
pnpn ii
650
92.1
192.1392.113
n
pn
pnpnUCL
16.250
92.1192.1392.113
n
pnpnpnLCL
-
7/28/2019 measuring capability with atribut data.pptx
11/49Copyright Wondershare Software
contoh Crack pistons
UCL
LCLnp
-
7/28/2019 measuring capability with atribut data.pptx
12/49Copyright Wondershare Software
Estimating P From Np Chart
For np chart , p is estimated from n-pbar,
the estimate of the average number ofnoncomforming units in a subgroup of sizen. to estimate p, divide n-pbar by n.
npnpp
'
-
7/28/2019 measuring capability with atribut data.pptx
13/49Copyright Wondershare Software
Contoh: Porous Transmission Housing
Porosity in aluminimum transmission housingsproduced at a major defence contractor has longbeen a chronic quality problem. As an initialattempt to better understand this process th e npchart displayed was started to monitor thenumber of porous housing in a subgroup of3000.after eliminating several assignable causesof variation, the chart now provided evidence this
process is in a good state of control
-
7/28/2019 measuring capability with atribut data.pptx
14/49Copyright Wondershare Software
The np of 1.303 means an average of 1.303porous
housing are detected in each subgroup of 3000. thecapability goals are for ppm total.lt to be less than 90,equivalent Ppk to be at least 1.25 and equivalent Pp tobe at least 1.32, which implies equivalent Pr should beless than 0.76. to determine an estimate of p, which isthe process percentage nonconforming, divide np by n
0004343.03000
303.1'
n
pnpp
3.434100004343.010 66'.'
ppmp TOTALLT
11.13
33.3
3
)10343.4(
3
)(
4'%
ZpZ
P PK
17.13
52.3
3
)101715.2(
3
))2(
4'%
ZpZ
P P
85.017.1
1
1
%
%
P
R
PequivalentP
Contoh: Porous Transmission Housing
keputusannya adalah proses ini
masih dapat dapat dilanjutkan
meskipun tujuannya tidak tercapai.
-
7/28/2019 measuring capability with atribut data.pptx
15/49Copyright Wondershare Software
Contoh: Surgical sponges
As np chart is monitoring a process producing surgicalsponges. Periodically , subgroup of 750 sponges arevisually inspected for proper shape. After several weeks ofcharting and improving the process, the chart indicates agood state of control, with np equal to 1.20 . Steve, thequality enginees assignes to this department , wishes toestimate process capability with both ppm total.lt andequivalent .the respective capability goals are 1,350
ppm and 1. first, Steve needs an estimate of p which canbe derivad from np
PKP%
3' 106.10016.0750
20.1
n
pnpp
1600100016.010
66'
.
'
ppmp TOTALLT
983.03
95.2
3
)106.1(
3
)(
3'%
ZpZ
P PK
Proses pada kasus ini tidak
dapat dilanjutkan. Manager
harus mengurangi penyebab darivariasi untuk mengurangi
jumlah sponge yang tidak tepat
-
7/28/2019 measuring capability with atribut data.pptx
16/49
Peta p Jika ukuran subgrup bervariasi, maka digunakan
peta p. Peta ini menggunakan proporsi dari produkcacat.
Taksiran Rata-rata Proses
p
np
n
unitsignonconformp
k
i
i
k
ii
n
npp
1
1 )(
-
7/28/2019 measuring capability with atribut data.pptx
17/49Copyright Wondershare Software
Peta p Batas Kendali Atas dan Bawah
Batas kendali bervariasi jika ukuran subgrupbervariasi. Namun sama untuk setiap subgrupkarena merupakan taksiran dari keseluruhan
proporsi cacat.
n
pppLCLp
)1(3
n
pppUCL p
)1(3
p
-
7/28/2019 measuring capability with atribut data.pptx
18/49Copyright Wondershare Software
Peta p Contoh Soal: Cracked Piston
Untuk subgrup pertama:
06.0717
43)(
1
1
k
i
i
k
i
i
n
np
p
013.014
)06.01(06.0306.0
)1(3
n
pppLCLp
25.014
)06.01(06.0306.0
)1(3
n
pppUCLp
-
7/28/2019 measuring capability with atribut data.pptx
19/49Copyright Wondershare Software
Peta p Batas Kendali Atas dan Bawah
Subgroup
Noncorformingunits (np)
n p UCL LCL
1 1 14 0.07 0.25041 0.0
2 3 66 0.05 0.1477 0.0
3 1 37 0.03 0.17713 0.0
4 6 91 0.07 0.13469 0.0
5 3 78 0.04 0.14067 0.0
6 1 10 0.10 0.2853 0.0
7 1 50 0.02 0.16076 0.0
8 9 103 0.09 0.1302 0.0
9 3 66 0.05 0.1477 0.010 1 33 0.03 0.18402 0.0
11 2 21 0.10 0.21547 0.0
12 12 151 0.08 0.11798 0.0
Total 43 717
-
7/28/2019 measuring capability with atribut data.pptx
20/49Copyright Wondershare Software
Peta p Peta P
1 2 3 4 5 6 7 8 9 10 11 12
p 0.07 0.05 0.03 0.07 0.04 0.10 0.02 0.09 0.05 0.03 0.10 0.08UCL 0.25 0.148 0.177 0.135 0.141 0.285 0.161 0.13 0.148 0.184 0.215 0.118
LCL 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Percentagenonconforming
-
7/28/2019 measuring capability with atribut data.pptx
21/49
Copyright Wondershare Software
Menaksir Kapabilitas dari peta p danpeta np Pada peta p, taksiran p adalah dari pbar
adalah keseluruhan prosentasenonconforming unit yang ditemukan pada seluruh
in control subgrup.
pp '
p
-
7/28/2019 measuring capability with atribut data.pptx
22/49
Copyright Wondershare Software
Contoh: Water Pump Leaks An In-control p chart for water pump leaks
Untuk menaksir ppm(TOTAL,LT) maka kalikan dengan10^6
0017.0' pp
700.1100017.01010 666, xxpxppmp TOTALLT
-
7/28/2019 measuring capability with atribut data.pptx
23/49
Copyright Wondershare Software
Contoh: Water Pump Leaks93.2)0017.0()()(
ZpZpZZEquivalentZEquivalentZEquivalent LTMIN
.
977.03
93.2
3
)(
3
.% pZZEquivalent
PEquivalent LTMINPK
047.13
)20017.0(
3
)2(
3
)2(%
ZpZpZPEquivalent P
955.0047.1
1
1
%
%
P
RPEquivalent
PEquivalent
Prosentase
nonconforming unitsnya
tidak lebih dari batas
toleransi 95,5%
-
7/28/2019 measuring capability with atribut data.pptx
24/49
Copyright Wondershare Software
Contoh: Cracked Pistons05997.0' pp
970.591005997.01010 666, xxpxppmp TOTALLT
56.1)05997.0()()( ZpZpZZEquivalent
52.03
56.1
3
)(
3
.% pZZEquivalent
PEquivalent LTMINPK
627.03
)2/05997.0(
3
)2/(
3
)2/(%
ZpZpZPEquivalent
P
595.1627.0
1
1
%
%
P
RPEquivalent
PEquivalent
-
7/28/2019 measuring capability with atribut data.pptx
25/49
Copyright Wondershare Software
Menaksir kapabilitas Proses dari Peta udan Peta c
Peta atribut u dan c berbasis padadistribusi Poisson
-
7/28/2019 measuring capability with atribut data.pptx
26/49
Copyright Wondershare Software
Rumus untuk mengestimasi persentase unit yangmemiliki cacat berdasarkan distribusi Poisson :
P(Jumlah cacat pada satu unit = x)!
)'( '
x
eu ux
Dimana:
x: Jumlah cacat pada satu unitu: rata-rata jumlah cacat per unit
e: konstanta(sama dengan2.7182818)
x! : x faktorial
cc
-
7/28/2019 measuring capability with atribut data.pptx
27/49
Copyright Wondershare Software
Note: nilai u tidak diketahui sehingga dapatdiestimasi dari atau dibagi dengan n(banyak sampel) jika menggunakan petac
c
ataun
c
u 'uu '
-
7/28/2019 measuring capability with atribut data.pptx
28/49
Copyright Wondershare Software
misal:
diberikan rata-rata cacat per unit u= 0.58
Jumlah cacat pada satu unit (x)= 3
%82.10182.01.2.3
)5599.0)(1951.0(
!3
)58.0()3(
58.03
exP
-
7/28/2019 measuring capability with atribut data.pptx
29/49
Copyright Wondershare Software
Dengan perhitungan yang sama, persentase dari unit yang memilikicacat dengan jumlah cacat sebagai berikut:
%99.555599.01
)5599.0)(1(
!0
)58.0()0(
58.00
e
xP
%47.323247.0)1(
xP%42.90942.0)2( xP
%26.00026.0)4( xP
%003.00003.0)5( xP
%003.000003.0)6( xP
%0002.0000002.0)7( xPUntukP(x6)= 0.0001
-
7/28/2019 measuring capability with atribut data.pptx
30/49
Copyright Wondershare Software
PercentofUnits
Banyak Kecacatan
Distribusi Poisson untuk u'=0.58
-
7/28/2019 measuring capability with atribut data.pptx
31/49
Copyright Wondershare Software
Total persentase unit sampel yang cacat:
1)('
iixPP
4401.00001.00003.00026.00182.00942.03247.0
)('1
i
ixPP
hal ini kurang efisien dalam bekerja
Cara yang LebihEfisien
-
7/28/2019 measuring capability with atribut data.pptx
32/49
Copyright Wondershare Software
Dari contoh di atas, P(x=0)=0.5599, denganmengurangi 1 dengan hasil P unit yang tidak cacat,
menunjukkan persentase unit yang cacat.
Hasil tersebut sama(identik) dengan total
persentase unit yang cacat, dengan palingtidak ada 1 kecacatan dalam satu unit
u
exPP
1)0(1
4401.05599.01)0(1 xPP
-
7/28/2019 measuring capability with atribut data.pptx
33/49
-
7/28/2019 measuring capability with atribut data.pptx
34/49
Copyright Wondershare Software
Sebelum prediksi kapabilitas proses dibuat, Pdiestimasi terlebih dahulu dari
2. Menghitung nilai 05824.094176.0111 060.0
eeP u
240.581005824.010 66. PpmP LTTOTAL
3. Mengalikan dengan ppm TOTAL.LT
P
P
'u
-
7/28/2019 measuring capability with atribut data.pptx
35/49
Copyright Wondershare Software
Dari perhitungan tersebut, ukuran kapabilitas
menunjukkan bahwa proses tidak kapabel karena
untuk menurunkan angka goresan yang tinggi, maka
dilakukan perhitungan menggunakan
350.1. LTTOTALppm
52.03
57.1
3
)0582.0(
3
)(%
ZpZPEquivalent PK
PKPEquivalent%
-
7/28/2019 measuring capability with atribut data.pptx
36/49
Copyright Wondershare Software
Dengan index kurang
dari 1.0 maka proses produksi pelapispermukaan kaca komputer tidakkapabel (mampu) untuk memproduksipelapis permukaan kaca komputer yangbebas goresan.
PKPEquivalent%
-
7/28/2019 measuring capability with atribut data.pptx
37/49
Copyright Wondershare Software
Contoh Soal 2
Diketahui sayatan per 1000 meter kabel fiberoptic adalah = 3.2.
Kapabilitas dari proses memproduksi 1 meterkabel fiber optik bebas sayatan dapat diukurdengan:
Mencari estimasi nilai
sayatan per meter
Persentase kabel dengan min 1 sayatan per meter didapatkan dariestimasi
c
0032.0
1000
2.3'
n
cuu
'u
'u
003195.0996805.011
1)0(1
0032.0
e
exPP u
-
7/28/2019 measuring capability with atribut data.pptx
38/49
Copyright Wondershare Software
Dari nilai estimasi dapat dihitung ukuran
kapabilitasnya (optional), misal:dihitung
dan
P
LTTOTALpmP . PKPEquivalent
%
195.310003195.010 66
. PpmP LTTOTAL
91.0
3
73.2
3
)003195.0(
3
)(%
ZpZPEquivalent PK
-
7/28/2019 measuring capability with atribut data.pptx
39/49
Copyright Wondershare Software
Dari perhitungan di atas, karena
Dan kurang dari 1.0 maka prosestidak menemukan syarat minimum sehingga prosesproduksi kabel optik tidak dapat memproduksi kabelper meter tanpa adanya sayatan.
350.1.
LTTOTAL
pmP
PKPEquivalent%
-
7/28/2019 measuring capability with atribut data.pptx
40/49
Copyright Wondershare Software
Contoh Soal 3
-
7/28/2019 measuring capability with atribut data.pptx
41/49
Copyright Wondershare Software
-
7/28/2019 measuring capability with atribut data.pptx
42/49
Copyright Wondershare Software
-
7/28/2019 measuring capability with atribut data.pptx
43/49
Copyright Wondershare Software
-
7/28/2019 measuring capability with atribut data.pptx
44/49
Copyright Wondershare Software
Contoh Soal 4
-
7/28/2019 measuring capability with atribut data.pptx
45/49
Copyright Wondershare Software
-
7/28/2019 measuring capability with atribut data.pptx
46/49
Copyright Wondershare Software
-
7/28/2019 measuring capability with atribut data.pptx
47/49
Copyright Wondershare Software
-
7/28/2019 measuring capability with atribut data.pptx
48/49
Copyright Wondershare Software
Thank you !
-
7/28/2019 measuring capability with atribut data.pptx
49/49
Tanya jawab
Maries
- Penggunaan perhitungan kapabilitas? Kenapaequivalen Pr jarang digunakan?
Ade
- Jelaskan lagi kenapa pake peta p kalo subgrup nya? Kelebihan + kekurangan?
Priyo
- Jelaskan lagi mengenai perhitungan kapabilitasproses pada data atribut.
Rosi=====belum
- Kasus crack piston pake peta p ,np? Lebih baikpake peta yg mana?
Nisa======belum
- Jelaskan maksud aspek inferior pada bukumontgomery hal 313 (terkait pemilihan peta