· 39 55 ˘ ©2007 national kaohsiung university of applied sciences, issn 1813-3851 e-mail :...

17
ȰՌخ ɀ ͂ ɳ Ȓ 39ƞ55 ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 ܇գЇ ڻƋ ܄ʅкɺȫخȰіȰՌԭ E-mail : [email protected] ϳΣƊΣɺՌʺʯȭȞΣ!" #$ %ʯ& ’( ) ʺ* + , - . / 0 Ɗ1 2 3 4 5 ’6 7 8 ’& 9 : 8 ; <= > ? @ A B CD E . F ȭG ΣʺH I % J K L M N A B CO P Σ* + Q R S , ƊA T CU V W D E X 5 Ɗʯ? @ A B CΣY Z [ \ ] Ɗ^ _ a ʯb c ȞΣd e . F Y Z f g Σh i % j k l [ \ m n o p P C q[ \ r n o p a C F s j Ɗ; ɺt u Ĉp q Ĉa F v w Ɗx y z { | }? @ A B CY Z ~ a [ \ Σ Ї t \ ˿ % ~ a [ \ Σˈ Ɗ x ʅ ɺ Ɗ# ? @ A B CY Z f g K ~ a ɹ ӂ \ ] Σ[ \ ԟ ^ ՌЇ t Ɗ# Σ 7 Ɗ#$ ˁ ɹ . j #$ f g Σ ݭ % ۰ЈգƋ܇Ƌ 1. ϳA B CΣɺ ¡ ¡ ¢ £ ƒ 1-1§[5]ƊA B O P Σ* + ՌQ ¤ S Ɗ ' A B C‘ a U V ¡ ¡ , /¥ τ 1-1§« A B CΣG 9 J , U V Σ CF C/42.836.43.3 mm§ X . 5 U V Σ Mirco SD C/15111 mm§Ɗʯ‘ a U V D E A B CU V Σ 0 Ɗ ' Y Z f g ʯ~ a [ \ ] a d Σ² · ͇ %J ƒ 1-2 Ɗ 128MB Σ‘ a d K Mirco SD A B CΣb c ] Ɗ‘ a » ¿ 68milƊ 512MB Ɗ‘ a » ¿ ` ´ 0 13milƊ512MB a d ΣO ˆ ˜ ¯ ˘ 128MB a d ΣO ˆ ˜ ¯ Σ˙ ¨ > z ˚ Ɗ^ _ a ʯb c ȞΣd ¸ . F A B CY Z f g Σ i % j ˝ ˛ Σˇ ΣʯK x y z { ? @ A B CY Z ~ a [ \ Σ Ї t \ ˿ Ɗ# ? @ A B CY Z f g K ~ a ɹ ӂ \ ] Σ[ \ ԟ ^ ՌЇ t Ɗ# Σ 7 Ɗ f g ' Σ Ɗ#$ ݭ %

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Page 1:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

�������� � � � � � � � � � � � 39�55 �

©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851

���������� ���

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����������� ���� E-mail : [email protected]

�� �

������������ �������������������� !"

#$ %�& �'( ) ��* + , - . / 0 �1 2 3 4 5 '�6 7 8 '& �9 : 8 ; <= >

? @ A B CD E . F �������G ����H I %

J K L M N A B CO P �* + Q R S , �A T CU V W D E X 5 ��? @ A B C�Y Z

[ \ ] �^ _ ` a �b c ���d e . F Y Z f g ���h i %

j k l [ \ m n o p PC q[ \ r n o p aC F s j �; �t u � Ĉpq Ĉa F v w �x y

z { | }? @ A B CY Z ~ ` a [ \ �� � � t \ � %� � ~ ` a [ \ � � �� }� � ��

x � � �� � �#� ? @ A B CY Z f g K ~ ` a � �� \ ] � � � � �[ \ � � � ^ ��

t ��#� � � �� � 7 ��#$ ��� � '� � � �. j '� � #$ f g �� � � %

���������� ����

1. �� �

��A B C���  ¡ ¡ ¢ £ ¤¥ ¦ 1-1§[5]�A B O P �* + �Q ¨ S �� © A B

C` a U V ª ¡ ¡ , ¤¥ � 1-1§«� A B C�G 9 J ¬ , U V �CFC¤42.8­36.4­3.3 mm§

X . 5 U V �Mirco SDC¤15­11­1 mm§��` a U V D E ® ¯ A B CU V �° ± 0 �� ©

Y Z f g �~ ` a [ \ ] ` a �d �² � ³ ´ µ ¶ · ¸ %J ¦ 1-2�128MB�` a d K Mirco

SD A B C�b c ] �` a ¹ º » ¼ ½ ¾ ¿ � 68mil�� À � ¶ 512MB ��` a ¹ º » ¼ ½

¾ ¿ Á  0 13mil�512MB ` a �d �O Ã Ä Å Æ � 128MB ` a �d �O Ã Ä Å �Ç È >

z %É Ê �^ _ ` a �b c ���d Ë . F A B CY Z f g ���Ì i %

j Í Î �Ï ��K x y z { ? @ A B CY Z ~ ` a [ \ �� � � t \ � �#� ? @ A B

CY Z f g K ~ ` a � �� \ ] � � � � �[ \ � � � ^ �� t ��#� � � �� � 7

��� f g Ð Ñ © Ò �� � �#$ � � � %

Page 2:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

����� � � 40

� 1-1� � � � � � � � ��� � �

� 1-1� � � ! " # � � $ % �& ' ( ) ( � � * + �, - . / 0 1 �

& ' ) (2 3 ) � � * + (bit) � � * + (byte) , - . / (mil)

1999 220 256M 32M 214.84280.1

2000 150 512M 64M 222.44333.1

2001 120 1G 128M 204.34316.1

2002 90 2G 256M 312.24402.0

2003 70 4G 512M 314.84401.4

2004 60 8G 1G 311.74429.4

2005 55 16G 2G 405.24625.1

5 6 7 8 9Samsung: ; < ! � = > ? @ �

� 1-2� 128MB/512MB Micro SD , - A B C D E F G �

Page 3:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

� � � � � � � � � � � � � 41

2. � � �

2.1 ������

[ \ Ð � o p �z Ó �k Ô 7   �¿ È F ÕÖ È × Ø ÙÚ z F Û o p �Ü Ý «Ú ÞF ß

à á â ã ä o p = qÚ Õ[ \ Ð � o p ���%

[ \ Ð � o p �Û o p �Ü Ý 7   Juran [1]}å æ Ú z ç [ \ Ð � o p PC ��á â �

�² � �è é [ \ X ê �á � %ë }å F Ù

PC = σ6

LSLUSL − (1)

ë ] USL Ø ² � �ì �LSL Ø ² � 0 ì �σ Ø [ \ p r Å %Kane [6]#í[ \ Ð � o p PkC Ù

PkC =

−−

σµ

σµ

33min

LSLUSL� (2)

ë ] µ F [ \ ] î %

Chan <ï[7] l ð ñ ò ó ô ��õ ö #íæ ð ñ Ð � o p Cpm%÷Ï p ø T <K ² � ¿

ù ] ú �¤T = m§�ð ñ Ð � o p Cpm�}å F Ù

( ) ( )2222 66 T

d

T

LSLUSLC pm

−+=

−+

−=

µσµσ (3)

ë ] �σ2+(µ-T)2 = E(X-T)2 � û ð ñ ò ó ô ��ü ý ø %

Pearn<ï[8] þ � ¶ o p Cpk Ð � �[ \ � � � ¼ ² � ] î �\ n �o p Cpm Ð � �í

[ \ X ê �[ \ � ¼ Ï p ø �\ n �É Ê � � o p Cpk� Cpm� � ú �#ío p Cpmk%÷

Ï p ø T<K ² � ¿ ù ] ú �¤T = m§�[ \ Ð � o p Cpmk�}å F Ù

{ }( )223

,min

T

LSLUSLC pmk

−+

−−=

µσ

µµ (4)

�á â [ \ Ð � o p = 7   Kane [6] ; � Cp > f = ô �#í Cp o p > α�β�«Chou<ï[3]#í Ĉp'Ĉpu'Ĉpl � Ĉpk� � � n ô �'� 4 � � n ô �«Boyles

[9] ; �ò ó ô �Ü Ý Cpm t u P q � � � ��#í Cpm � _ ¦ «Pearn <ï[8]#í

Ĉp'Ĉpk'Ĉpm� Ĉpmk o p >ü ý ø qX ê �«Johnson [10]�ò ó ô � � Ü Ý Cpm�#

Page 4:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

����� � � 42

í Cpm> � � 0 ì q � � � %

�[ \ Ð � o p ���7   Montgomery [11] ; � � � ù �õ ö + [ \ Ð � o p Cp>

� � 0 ì � � �� � 0 ì ø � "[ \ Ð � «Chou <ï[2]#í Ĉp'Ĉpk x Ì � 5 ø � }

[ \ Ø � � u �+ � r «Chou <ï[12] l � u [ \ ^ _ �7 � � � � & ! " # F � «Lin

[4]#í Ĉa x Ì � 5 ø �� }[ \ Ø � � $ �+ � r «Pearn<ï[13]#í¢ � % j 0 Cpu'

Cpl� � � ¿ ù 0 ì & ' � �� � «Shu [14] þ �( % Ä Å ��� Spk'Cpu'Cplq Ca�

� � ¿ ù 0 ì �#í¢ �[ \ Ð � È ) ¦ �l ¦ ± �7 �� * + ��� 3 �[ \ Ð � %

2.2 Cp ������

: � , - � �� Cp t u . ��}å ¥ 0 Ù

sLSLUSL

C p 6)(ˆ −

=

ë ]

1

)(1

2

=

∑=

n

XXs

n

ii

n

XX

n

ii∑

==

1

/ C F Cp � 100(1 –0) 1 � � ¿ ù �0 ì 2

ˆ)1(

P

P

C

Cn 2 3 C 7 È 4 � 5 J n F 1−n %

( ) { }222 ˆ)1()ˆ)(1( PPPPr CCnCCnPCCP −≥−=≥

{ }2221

ˆ)1( Pn CCnP −≥=−χ (5)

��2

1,122 ˆ)1(

−−=− nPCCn αχ

21,1

−=

−−

nCC n

Pαχ

21,1

1ˆ−−

−=

nP

nCC

αχ (6)

Page 5:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

���������� ��� 43

Chou [3]����(6) � � � � � � � � � � �� � � � � � Cp � � C0 � � �

� � n � � � � � ! Ĉp � " 21,10 1ˆ−−

−≥ nP nCC αχ # $ % � & ' � � � �() *2

1,10 1ˆ−−

−≥ nP nCC αχ + � , - . 100(1/α)% � 0 1 $ � � � � � � � �� 2 ��3 �

� 4 5 6Matlab6.5 78� ! Ĉp 9 : ; < � � = > ? @ � � � & ' � A B � � � C D

6E F G H I 8�

2.3 Ca ������

Pearn J K [2] L M N O P � � Ĉa % Q � R

d

mXCa

−−= 1ˆ (7)

S T nXXn

ii

= ∑=1

� � T 1 � � � � T 1 µ � U �P � � � Ĉa � P � �V W X @ R

−−=

σ

mXn

CnC

P

a3

11ˆ (8)

"� � Y Z [ \ ] � ^ 5 N(µ, σ2) T � � � � _ � � # aC � ` a � b � W c C d � [2]R

( ) ( )( )

−−+−

−−=

2

2

11

12

exp11

cosh2

6)(aa

PC

xCxn

Cxfδδ

π (9)

ST 1≤<∞− x � 22 )]1([9]/)[( aP CCnmn −=−= σµδ

� � � � YeYf (µ, σ2)�^ 5 � � � � _ g � mX − �\ ] �f (µ-m, σ2/n)

h i22 ]/)[()]1/()ˆ1[( δδ mXnCC aa −=−− eY 2χ (1, δ)�j I � k T1 l m n \ ] �N o �

� 1�_ k T1 l E 322 )]1([9]/)[( aP CCnmn −=−= σµδ �

h i aC c δδχ ),1()1(1 2aC−− � \ ] � aC �� ` a � b 3 W c X @ R

∑∞

=

+Γ−

−−−

−−

+Γ−=0

22

)1()2/exp()2/(

11

2exp

11

2)]21([)1(2

)(k

k

a

k

aa kCx

Cx

kCxf

δδδδδ

ST 1≤<∞− x �

�p � � � � � q � � � r s t u q �v K W w x c y �n � � ; z q � { | P

Page 6:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

����� � � 44

� � �y }~ � Z [ \ ] �� � y �� C � aC � )%1(100 α− 0 � � � y }R

}11{}{ CCPCCP aa −≤−=≥

−−≥

−−=

22

1

ˆ11

ˆ1CC

CC

P a

a

a δδ

−−≥=

CC

P a

1

ˆ1),1(2 δδχ

α−= 1 (10)

�� ),1()]1/()ˆ1[( 22 δχδ α=−− CCa � aC � 100(1�α) � � � �� �

),1()ˆ1(1 2 δχ

δα

aCC −−= (11)

Lin [4] � � � � (11) � � � � � �� � � �� � �� ! � � � �� aC " # 1C $ % & '

( n ) (* $ + , - aC $ . 2121 ]/),1()[1(1ˆ δδχαCCa −−≥ /$ 0 1 2 � � �3 4 5 �$ 6 7 1C

�� � 4 5 �� aC 8 9 � �" �:; < 2121 ]/),1()[1(1ˆ δδχαCCa −−≥ /$ 0 1 3 100(1�α)%

�� = > # � � � � �� ��

* ? � � @ " + , A B CMatlab6.5 DE�- Ĉa F G H $ I J K � � � �� 4 5 �� L

M �� � N O CPQRSTE�

3. ���������

Chou [3] U - Cp �� � � VLin [4] U - aC �� � � $W ( * @ n XY Z [ � α \ ]

�^ _ � $� - � ` � � 4 5 a b c � d e � � �8 F C "�f g h i j k l m n o p q �

� $6 o p q r s � t g u 2 vw x y O $� ` z � � v{ | } ~ / Q� � � v� � C� �

� � � � EX� � C� � 7 = r s E$� � * � � � � Chou [3]X Lin [4]v� � $G � � � h

i j k l m n o p q � � �� � � � � � $: ; �� � 4 5 a b Cp X aC # � � 4 5 � � $

� Ĉp X aC # � ` � + � $� � o p q � � � � � � $6 � ` � � � � � �

� � 1�� ` � � � � � � 0C $� � � � � � 1C �

� � 2�� � Y Z [ � Clevel of significanceEα�

� � 3��   ¡ ¢ £ ¤ �¥ ¦ �

� � 4�§ �   ¨ �¡ ¢ £ ¤ ¥ ¦ + , - Ĉp X Ĉa�

� � 5�© N ª « � matlab � � ¬ ¨ Ĉp X Ĉa �8 F G H "�

Page 7:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

���������� ��� 45

� � 6�­ ® Ĉp�Ĉa ¯ 6 ° ± 8 F G H "�

. ����������� ≥≥ aP CC ˆˆ $N ² � � 4 5 L M $� ³ N ² � � 4 5 ´L �

� � 7�. Ĉp<8 F G H "ª Ĉa<8 F G H "$³ N ² � � 4 5 ´L $³ � � ¡ ¢ £ ¤ µ ¶ $

· ¸ � ¹ � � 3�

� 3-3� � � � � � � � � � �

4.����

Micro SD W º � �j k l 7 � B» ¼ ½ 8 F �$� � ¾ 8 ¿ À Á p q ¼ ½ Â Ã j k l Ä

Å ¼ ½ �Æ Ç $È u � ^ _ $W É p q � � Ê } � Ë Ì Í p q �r s $Î 4 Ï Ð Ñ � ´{ ¡

�Ò Ó �Ô Õ Samsong 512MB �p q Ö Ñ � × � � Ø � MIRCO SD j k l $z p q W Ù Ú

Û�r s � Ü 4-1�

�������� 0C �

��� 1C �

Ĉp� � � � � � �

aC � � � � �

Ĉp ≥ � � � � � �������

≥aC � � � � �

��� � � � � ��� � � � �

� � � � � ��

� � � � n

! " Ĉp# aC �

$ % � & matlab � � � '�( ) *

Ĉp# aC + � � � � �

Page 8:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

����� � � 46

� 4-1� 512MB � � � Epoxy � � � � �

���������� �� � � � � � �� � � � � � � � EPOXY �� � �

! " # $ �% EPOXY & ' � � ( ) * + � � 9mil , - �. / � � 0 1 �� � 2 3 4 5 6

4mil78 9 : �� ; < = > � � � ? @ A B �C D � � E F G H �I % J + � � 7� � K L

M N O P Q R Cp ≥ 2�Ca ≥ 0.757

S T U V � � W X �� MICRO SD ! Y �, Z [ \ ] � 0 ^ �� � � 0 1 " _ ` �

±4mil7a � � b c d e f 50 g h i �j � � ( ) � k [ �l m n o p q 4-1r

� 4-1� � � � � � � � � �

11.5 10.3 11.8 12.0 12.5

11.6 10.6 11.8 12.2 12.2

11.6 10.8 11.9 12.2 12.5

11.3 11.1 11.9 12.2 12.6

11.7 11.2 11.9 12.2 12.6

12.8 11.3 12.0 12.2 12.8

11.7 11.4 12.0 11.0 13.4

11.8 11.4 12.0 12.4 13

11.8 11.5 12.0 12.4 13.2

11.8 11.5 12.0 12.4 12.2

Page 9:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

� � � � � � � � � � � � � 47

s / t u v , MINITAB w x y z 8 { | } �~ � �� 4-2 � � 4-37a � P-value� 0.701

> 0.05�. / * , � � �� � � � � � �� { | � � 7� a 25 � e h �� � p SX − Chart�

� 4-47

13.512.511.510.5

.999

.99

.95

.80

.50

.20

.05

.01

.001

Pro

babi

lity

Sample 1

� 4-2� � � � � � � � � � � � �

� 4-3� � � � � � � � � � � �

17161514131211109

USLLSL

Page 10:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

����� � � 48

� 4-4� � � � � � � � � SX − Chart

���������� ����������������������� !"

# $ 1%& �' ( ) * + 2≥PC � 75.0≥aC "

# $ 2%, - . / 0 1 2level of significance3α = 0.05

# $ 3%�4 4-1 5 6 +7 8 9 : ; "

# $ 4%< = > ? : ; ��@ A B : ; C D 4E

X S PC aC

11.92 0.63 2.11 0.73

# $ 5%FMatlab�G �@ H I J K L M N O P Q + 2.40�1 J K L M N O P Q + 0.78"

# $ 6%R+ Ĉp = 2.11 < M N O P Q 2.40� Ĉa = 0.73 < M N O P Q 0.78�R> S �T U �

�����I J V 1 J ��W X Y Z ) * "

# $ 7%[ \ ] ^ _ ` a b V c d A B e : f �g h i j 50 k j l C 4 4-2" 4 4-2m ���n o 7 8 �: ;

11.0 11.5 11.8 12.0 12.2

12.8 11.6 11.8 12 12.2

12.8 11.6 11.9 13 12.2

12.3 12.4 11.9 12.0 12.4

11.3 11.6 11.9 12.2 12.4

12.5 11.7 12.0 12.2 12.4

252015105Subgroup 0

12.4

12.3

12.2

12.1

12.0

11.9

11.8

11.7

Sam

ple

Mea

n

Mean=12.03

UCL=12.33

LCL=11.72

1.0

0.9

0.8

0.7

0.6

0.5

Sam

ple

StD

ev

S=0.7192

UCL=0.9377

LCL=0.5007

Page 11:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

���������� ��� 49

12.5 11.7 12.0 12.2 12.6

11.4 11.7 12.0 10.9 12.8

12.4 11.7 12.0 12.2 13.1

11.5 11.8 11.4 12.2 12.0

[pq����������� ��������������2C r 4-5 % r

4-6 V r 4-73�� � � � ��� � ! "

� 4-5� � � � � � � � � � �

� 4-6� � � � � � � �� � �

17161514131211109

USLLSL

131211

.999

.99

.95

.80

.50

.20

.05

.01

.001

Pro

babi

lity

Sample�2

Page 12:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

����� � � 50

� 4-7� � � � � � � � SX − Chart

������������ ���

X S PC aC 12.03 0.48 2.79 0.76

��� =PC 2.79 � � � � � � 2.40�� =aC 0.76 � � � � � � 0.78�� �� � �� � �

! " # $ % & ' ( ) * + , - " # . % & ' / 0 1 2 3 + , 4

56 7 8 9 : � # ; < �5= > ? 50 @ A B � 4-34C D E �F G H � " # I J K

L M N O P �Q " # R S � T U V W X Y Z 4-8 [ Z 4-9 \ Z 4-10]�^ _ ` " # & ' a

b 4 � 4-3c H � d e f g < ��

11.4 11.9 12.3 12.3 12.6

11.5 11.9 12.2 12.3 12.6

11.6 11.8 12.2 12.3 12.8

11.7 11.9 12.2 12.4 12.7

11.6 12.0 12.2 12.5 12.7

11.7 12.0 12.5 12.5 12.9

11.7 12.4 12.0 12.5 12.9

11.9 12.2 12.5 12.6 13.1

11.9 12.2 12.4 12.6 13.1

11.9 12.1 12.4 12.6 12.2

252015105Subgroup 0

12.5

12.4

12.3

12.2

12.1

12.0

Sam

ple�

Mea

n

Mean=12.25

UCL=12.47

LCL=12.04

0.7

0.6

0.5

0.4

0.3

Sam

ple�

StD

ev

S=0.4958

UCL=0.6465

LCL=0.3452

Page 13:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

���������� ��� 51

� 4-8� � � � � � � � � � �

� 4-9� � � � � � � �� � �

17161514131211109

USLLSL

12.912.411.911.4

.999

.99

.95

.80

.50

.20

.05

.01

.001

Pro

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lity

Sample�3

Page 14:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

� � � � � � � 52

� 4-10� � � � � � � � SX − Chart

���������� �

X S PC aC

12.30 0.44 3.03 0.83

��� =PC 3.03 � � � � � � 2.40� =aC 0.83 � � � � � � 0.78�� � � � � � � � �

! " # $ % & ' (

5.�����

5.1 ����

� ) * + , - . / 0 1 2 3 � 4 5 6 4 7 (8 9 : ; � ) * + , � < = > �? @

A B � 5 6 C D (E F G H Chou [3]I Lin [4] � J K �LM N O �J P �Q R � . S T U V

� � � � ) * ! " W O X (�Y P ���Z [ \ � ] ^ _ ` ^ ) * � � a b @ c

d e f �g " h ; � ! " W O �? @ i j k � l m (n o p q r s t u v w x y z { | L

� } P h ; l m �B ~ � � � � � � � � � � I� � \ E � � � (

5.2 � � ��� �

E F � � � V� � � V� � � � � � � k h ; ! " W O �� p q r s t u v � g � �

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j � ? @   ¡ � � ¢ - C £ + ¤ ¥ ¦ § (

252015105Subgroup 0

12.6

12.5

12.4

12.3

12.2

12.1

Sam

ple�

Mea

n

Mean=12.34

UCL=12.54

LCL=12.15

0.6

0.5

0.4

0.3

Sam

ple�

StD

ev

S=0.4521

UCL=0.5894

LCL=0.3147

Page 15:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

���������� ��� 53

� � �

[1] Juran, J. M., Juran’s Quality Control Handbook, McGraw-Hill, New York.

[2] Pearn, W. L., Lin, G.H. and Chen, K.S., 1, “Distributional and nferential Properties of the Process precision and Process accuracy indices, ”Communications in Statistices:Theory and Methods, Vol. 27, No.4, 1998, pp. 985-1000.

[3] Chou, Y. M., Owen, D. B., S.A, “Lower confidence Limits on Process Capability Indices,” Journal of Quality Technology, Vol. 22, No.3, 1990, pp. 223-229.

[4] LIn, G.H., “A decision-making procedure on process centering: a lower bound of the estimated accuracy index,” Journal of Statistcs & Management System, Vol.9, No.1, 2006, pp. 205-224.

[5] ¨ © 4 ª « ¬ �NAND Flash � � ­ ® ¯ ° ± k � � ² ³ ' ´ PC µ f � ¶ · � ¹ º »

² ¼ �2007�8 ½ (

[6] Kane, V. E., “Process Capability Indices,” Journal of Quality Technology, Vol.18, No.1, 1986, pp. 41-52.

[7] Chan, L. K., Cheng, S. W., and Spiring, F. A., “A New Measure of Process apability: Cpm,” Journal of Quality Technology, Vol.20, No.3, 1988, pp.162-175.

[8] Pearn, W. L., Kotz, S., and Johnson, N. L., “Distribution and inferential Properties of Process Capability Indices,” Journal of Quality Technology, Vol. 24, No.4, 1992, pp. 216-231.

[9] Boyles, R. A., “Process capability with asymmetric tolerances,” Comm-unications in Statistics: Computation & Simulation, Vol.23, No.3, 1994, pp. 615-643.

[10] Johnson, T., “The relationship of Cpm to squared error loss,” Journal of Quality Technogy, Vol.24, No.4, 1992, pp. 211-215.

[11] ¾ ¿ À Á ÂMontgomery. Douglas. CÃÄ Å �Æ Ç È ÂÉ d Ã�� � ¡ Ê �Ë Ì �Í Î Ï Ð (

[12] Chou, Y. M., Polansky, A. M., and Mason, R. L., “Transforming on-normal data to normality in statistical process control,” Journal of Quality Technology, Vol.30, No.2, 1998, pp. 133-141.

[13] Pearn, W. L., Shu, M. H., Hsu, B. M., “Lower confidence bounds for Cpu and Cpl based on multiple samples with application to production yield assurance,” international joural of production research, Vol.42, No.12, 2004, pp. 2339-2356.

[14] Shu, M. H., “Manufacturing capability assurance for product with Multiple charcterisics: A case study applied to low dropout voltage regulator,” international joural of industrial engineering, Vol.13, No.1, 2006, pp. 41-50.

Page 16:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

� � � � � � � 54

� �

�������� PC � � � 95%� � � � PC � � � � � �

n

0C 10 20 30 40 50 60 70 80 90 100

1.0 1.65 1.37 1.28 1.23 1.20 1.18 1.16 1.15 1.14 1.13

1.1 1.81 1.51 1.41 1.36 1.32 1.30 1.28 1.27 1.26 1.25

1.2 1.97 1.64 1.54 1.48 1.44 1.42 1.40 1.38 1.37 1.36

1.3 2.14 1.78 1.66 1.60 1.56 1.53 1.51 1.50 1.48 1.47

1.4 2.30 1.92 1.79 1.72 1.68 1.65 1.63 1.61 1.60 1.59

1.5 2.47 2.06 1.92 1.85 1.80 1.77 1.75 1.73 1.71 1.70

1.6 2.63 2.19 2.05 1.97 1.92 1.89 1.86 1.84 1.83 1.81

1.7 2.80 2.33 2.18 2.09 2.04 2.01 1.98 1.96 1.94 1.93

1.8 2.96 2.47 2.30 2.22 2.16 2.12 2.10 2.07 2.06 2.04

1.9 3.13 2.60 2.43 2.34 2.28 2.24 2.21 2.19 2.17 2.15

2.0 3.29 2.74 2.56 2.46 2.40 2.36 2.33 2.30 2.28 2.27

2.1 3.45 2.88 2.69 2.59 2.52 2.48 2.45 2.42 2.40 2.38

2.2 3.62 3.01 2.82 2.71 2.64 2.60 2.56 2.53 2.51 2.49

2.3 3.78 3.15 2.94 2.83 2.76 2.72 2.68 2.65 2.63 2.61

2.4 3.95 3.29 3.07 2.96 2.88 2.83 2.79 2.77 2.74 2.72

2.5 4.11 3.43 3.20 3.08 3.00 2.95 2.91 2.88 2.85 2.83

Page 17:  · 39 55 ˘ ©2007 National Kaohsiung University of Applied Sciences, ISSN 1813-3851 E-mail : ghlin@cc.kuas.edu.tw ˘ˇˆ˙˝˛ ˚˜ !"

���������� ��� 55

��� ����� aC � � � =1C 0.75 � Ĉa � � � � �

σµ m−

n 1-α

0.25 0.50 0.75 1.00 1.25

0.90 0.95 0.93 0.88 0.85 0.83

0.95 0.97 0.97 0.92 0.88 0.85 10

0.99 0.99 0.99 0.98 0.93 0.90

0.90 0.95 0.89 0.85 0.82 0.81

0.95 0.97 0.93 0.87 0.84 0.82 20

0.99 0.99 0.98 0.92 0.88 0.85

0.90 0.94 0.87 0.83 0.81 0.80

0.95 0.97 0.90 0.85 0.83 0.81 30

0.99 0.99 0.96 0.89 0.86 0.83

0.90 0.93 0.85 0.82 0.80 0.79

0.95 0.97 0.88 0.84 0.82 0.80 40

0.99 0.99 0.93 0.87 0.84 0.82

0.90 0.92 0.84 0.81 0.80 0.79

0.95 0.96 0.87 0.83 0.81 0.80 50

0.99 0.99 0.91 0.86 0.83 0.82

0.90 0.91 0.83 0.81 0.79 0.78

0.95 0.95 0.86 0.82 0.80 0.79 60

0.99 0.99 0.90 0.85 0.83 0.81

0.90 0.90 0.83 0.80 0.79 0.78

0.95 0.94 0.85 0.82 0.80 0.79 70

0.99 0.99 0.89 0.84 0.82 0.81

0.90 0.89 0.82 0.80 0.79 0.78

0.95 0.93 0.84 0.81 0.80 0.79 80

0.99 0.98 0.88 0.84 0.82 0.80

0.90 0.88 0.82 0.80 0.78 0.78

0.95 0.92 0.84 0.81 0.79 0.78 90

0.99 0.98 0.87 0.83 0.81 0.80

0.90 0.88 0.81 0.79 0.78 0.78

0.95 0.91 0.83 0.80 0.79 0.78 100

0.99 0.97 0.87 0.83 0.81 0.80