Lot-by-Lot Acceptance Sampling for Attributes

1
Chapter 14 Lot-by-Lot Acceptance Sampling for
Attributes
?????????????????????????????
?.?????? ????????????? ????????????????????????
2
???????????? ????????????????????????????????
??????????????? ?
3
??????????????????????????????
?????????????????? 3 ????
1. ?????????????????????????? 2. ??????????
100 3. Acceptance Sampling
4
???????? ????????????????????
1. ????????????????? ???????? 2. ?????
???????????? 100 ?????????????? 3.
????????????????????? 100 ??? 4.
???????????????????????????????? 5.
????????????????? ??? ????????????????????? 6.
??????????????????? ??????????????????????
5
???????????????????????????????? ?
???????????????????? ????????????????????
1. ???????????????????????????? 2.
?????????????????????????? 3. ????????????????????
??????????????? 4. ?????????????????????????
6
????????????? 3 ???????????????????????????????
1 ?????????????????????????? 2
???????????????????????? ????????? 3
?????????????????????????????
7
???????????????????????? 100 Inspection
?????
???????
1 ??????? 2 ???????????????? 3
???????????????????????????? lot
1 ??????????????????? 2 ??????????????????????????
??????? 100 Inspection 3 ??????????????????????
??????? ??????????
8
?????????????????????????
Single Sampling (n, c) Double Sampling (n1, c1,
n2, c2) Multiple Sampling (n1, c1, n2,
c2,) Sequential Sampling (item-by-item)
9
????????????????????????????
Inspect count number of defectives
10
???????? ??? ????? ?????????

• AQL Acceptable Quality Level
• Poorest quality level for vendor process which
  Producer thinks that Consumer would accept as
  process average.
• (?????????????????????????????????????????????
  ??????????????????????? ???????? ?? 100 ????
  ???????????????????????????????????????????????
  ??????????????????????????????????????????????????
  ????) ??????????????????

11
???????? ??? ?????(???)

• LTPD Lot Tolerance Percent Defective
• Poorest quality level for vendor process which
  Consumer thinks they would accept as process
  average.
• (????????????????????????? ???????????????????????
  ?????????????????????????????????????? lot
  ??????????? Bad ???????????????? Lot )
  ????????????????????

12
???????? ??? ?????(???)

• AOQ Average Outgoing Quality (??????????????????
  ?)
• of outgoing non-conforming that pass the
  process to consumers
• (???????????????????? Lot ????????????????????????
  ??? )
• AOQ is approximately Pa p
• (Pa ??????????????????????????????????????????????
  ???????????? c , p ?????????????????)

13
???????? ??? ????? ?????????
AOQL Average Outgoing Quality Limit - A
limitation of outgoing quality level
14
???????? ??? ?????(???)
ATI Average Total Inspection - Total amount of
inspection required by sampling program when
Rectifying Inspection is applied
15
???????? ??? ?????(???)
N Lot or Batch Size n Sample Size D No.
of Defectives (NC) per lot x,d No. of
Defectives (NC) found in a sample C,
Ac acceptance number Re rejection number
16
ACCEPTANCE SAMPLING FOR ATTRIBUTE
????????????????????????????????????? (?? - ????)
SINGLE SAMPLING PLAN (?????????????????????????
???)
?? 2 ????????????????
n ??? ??????? SAMPLE SIZE C ???
?????????????????????????
???? ???????????????? 300 ????/lot ????????? n
50 ???? ??????????????????? C 1 ????
17
SINGLE SAMPLING PLAN
18
???????????????????????????
?????????????????????????????????????????????????
????????????????????????
????? Pa ??? ???????????????????????? p ???
??????????????
19
??????????????????????????????
?????????????????????????????????????????????????
????????? ?????????????????????? ????????????????
Lot ??????????????????????????????????????????????
?????????????????????
20
(No Transcript)
21
?????????? OC-Curve ????????????????
?????????? OC-Curve ?????? C
OC-Curve ?????????
22
??????? OC-Curve
TYPE A - ?????? lot ????? (N) - ????????????????
Hypergeometric
TYPE B - ?????? lot ???????? - ????????????????
Binomial
23
(No Transcript)
24
???????????????????????????
??????????????????????? 4 ?????? a
???????????????????? b ?????????????????????? A
QL ?????????????????????????????????????????? L
TPD ???????????????????????????????????????????
????????
25
OC Definitions on the Curve
a 0.10
90
LTPD
AQL
b 0.10
Indifferent
Good
Bad
26
????????????????????????? Binomial monograph
?????????????????? monograph ???????????????
????????????????????????
?????????????????? ????? a 0.05 b 0.1
AQL 0.02 LTPD 0.08 ??????????????????????????
???????? monograph
27
(No Transcript)
28
(No Transcript)
29
Slide 20
30
????????

• ??????????????????????????????? (Single-Sampling
  Plan) ??? n 40, c 2 ??????????????????????????
  ???? p 0.01 ???????? N 10,000
  ??????????????????
• 1. ????????????????????????????????????????? (Pa)
• 2. ?????????????????????????? (AOQ)

31
(No Transcript)
32
DOUBLE SAMPLING PLAN (??????????????????????????
??)
????????????????
n1 ??? ??????? SANPLE SIZE ?????????????????
1 C1 ??? ?????????????????????????????????? 1 n2
??? ??????? SANPLE SIZE ????????????????? 2 C2
??? ?????????????????????????????????? 2 d1 d2
????????????????????????????? 1 ??? 2
33
(No Transcript)
34
MULTIPLE SAMPLING PLAN (???????????????????????
??????)
??????????????????? DOUBLE SAMPLING
PLAN?????????????????????(??????? 2 ?????)
????????
Cumulative Sample Size Acceptance Number Rejection Number
20 40 60 80 100 120 140 - 1 3 5 8 9 10 4 5 6 8 10 11 11
35
SEQUENTIAL SAMPLING PLAN (??????????????????????
???????)
??????????????????? ??????????????????????????????
????????????????????
????????
36
????? MIL - STD - 105 E(ANSI/ASQC Z1.4 , ISO 2859)
- ?????????????????????????????????????????? 1
(MIL-STD-105A) - ???????????? 1989 - ?? 3 ??????
Single, Double, Multiple - ???????????????????????
3 ????? ??? Normal , Tightened , Reduced
37
????????????????????????????????
38
????????????????????????????????
???????????????????? ???????????????????? c
????????????? r ?????????? ?????????????????????
39
?????????????????? MIL-STD-105E
1. ????? AQL 2. ????? Inspection level ????????
14.4 (Slide 42) ??????????????????????????????????
????????????????????????????????????????(?????????
????????????????????????????) , Special
inspection ??????????????????????????????? 3.
????? Lot size 4. ?? Code ????? ??? sample
????? 5. ???????????? sample plan 6.
????????????? ??? ????????????????????????????????
????????????
40
???????????? ?????????????????????????????????????
????????????? 1000 ???? ?????????????????????????
????????????? ????????
41
????????????? MIL STD 105E ???????
Table 14-4 ???? 675
42
MIL STD 105E ??????????????????????????????????
Table 14-5 ???? 676
43
MIL STD 105E ??????????????????????????????????
Table 14-6 ???? 677
44
MIL STD 105E ??????????????????????????????????
Table 14-7 ???? 678
45
MIL STD 105E ???????????????????????????????
46
MIL STD 105E ???????????????????????????????
47
MIL STD 105E ???????????????????????????????
48
???????? ?????????????????????????????????????
??????????? MIL STD 105E

• 1. ????? AQL (AQL 0.10)
• 2. ????? Inspection level ???????? 14.4
• (General Inspection Levels II)
• 3. ????? Lot size (???? 1000 ????)
• 4. ?? Code ????? ??? sample ????? (J)
• 5. ???????????? sample plan (Normal)
• 6. ????????????? ??? ????????????????????????????
  ???????????????? (n80, Ac0, Re1) ???????????
  Tightened ???? Reduced n? Ac?, Re?

49
?????????? OC Curves ????????
50
Operation Characteristic Funtion (OC Curves for
xbar)

• ???
• L ??? ????????????????????????? Sigma ???? (3
  Sigma)
• K ??? Sigma ????????????????
• n ??? Sample Size
• ? ??? Standard normal cumulative distribution
  function(????????? Z)

51
????????
52
????????

• ??????? OC Curve ?????????? ?????????????????????
  ????????????????????????????????????????? ?0 ??
  0.2? 0.4? 0.6? ??? 0.8? ?????????????????????
  ??????? 3-Sigma ??????????????? n5

53
(No Transcript)
54
B
K
55
THE END
Good Bye