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    1 2001 Six Sigma Academy

    Failure Mode and Effects Analysis (FMEA)

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    2 2001 Six Sigma Academy

    Module Objectives

    By the end of this module, the a!ticiant should be able to"# $dentify and !io!iti%e !is& of failu!e occu!!ing

    # $dentify 's and thei! !elationshi to (

    # )onst!uct a comlete *M+A

    # ene!ate action items

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    3 2001 Six Sigma Academy

    -hy .se *M+A/

    # $dentify otential failu!e modesand analy%e !is&s

    # $dentify &ey cha!acte!istics

    # ocument the cont!ol lan

    # $nc!ease custome! satisfaction

    # $m!ove uality, !eliability, and

    safety of !oduct

    30 - 50 Inputs30 - 50 Inputs

    10 - 15 Xs10 - 15 Xs

    8 - 10 KI!s8 - 10 KI!s

    "-8 Key KI!s"-8 Key KI!s

    3-# Key KI!s3-# Key KI!s

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    3o A!oaches o he *M+A

    # 3o majo! a!oaches"# Sta!ting 3ith the )ause 4 +ffect Mat!ix

    # Sta!ting 3ith *M+A di!ectly f!om the 5!ocess Ma

    # -e 3ill exlain the a!oach using the )4+ mat!ix

    # Both a!oaches a!e ve!y simila!

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    Sta!ting -ith )4+ Mat!ix

    # he )4+ Mat!ix defined the imo!tant issues by heling to !io!iti%e"# $mo!tant custome! !eui!ements

    # 5!ocess inuts that could otentially imact these !eui!ements

    # 5!io!iti%e the otential 6ey 5!ocess $nuts 765$89 acco!ding to thei!

    imact on the outut va!iables

    *ocus on inuts that highly imact a la!ge numbe! of oututs

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    6 2001 Six Sigma Academy

    -hat $s A *M+A/

    A systematic a!oach to"# $dentify otential failu!e modes and thei! effects

    # 5!io!iti%e !is&s associated 3ith secific causes

    # $dentify 3ays of eliminating o! !educing the secific causes

    # ocument a lan to !event the failu!es

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    yes Of *M+A

    yes of *M+A# 5!oduct:Se!vice" $dentifies 3hat can go 3!ong 3ith the design of a

    !oduct o! se!vice

    # 5!ocess" $dentifies 3hat can go 3!ong 3ith the design of a !ocess

    # 5!oject" $dentifies 3hat can go 3!ong 3ith a majo! !oject

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    he *M+A *o!m

    -hat is

    the

    5!ocess

    Ste

    -hat

    can go

    3!ong3ith the

    5!ocess

    ste/

    -hat is the

    +ffect on the

    Oututs/

    -hat a!ethe

    )auses/

    ;o3

    Bad/

    ;o3

    Often/

    ;o3 can

    this be

    found/

    -hat canbe done/

    ;o3

    3ell/

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    9 2001 Six Sigma Academy

    *!om )ause o +ffectumbe!s, =5>

    # he !is& !io!ity numbe! 7=5>9 is the !oduct of the !an&ings fo!"# Seve!ity 7S+89

    # 5!obability of Occu!!ence 7O))9

    # ifficulty to etect 7+9

    # ;igh =5>?s a!e flags to ta&e effo!t to !educe the calculated !is&

    # =ega!dless of =5>, high seve!ity sco!es should be given secial

    attention

    =5> @ S+8 x O)) x +

    +ffects )auses )ont!ols

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    11 2001 Six Sigma Academy

    =ating efinitions

    Seve!ity Occu!!ence etection

    ;a%a!dous 3ithout3a!ning

    8e!y high andalmost inevitable

    )annot detect o!detection 3ith ve!y

    lo3 !obability

    oss of !ima!yfunction

    ;igh !eeatedfailu!es

    =emote o! lo3chance of detection

    oss of seconda!yfunction

    Mode!ate failu!es o3 detection!obability

    Mino! defect Occasional failu!es Mode!ate detection!obability

    >o effect *ailu!e unli&ely Almost ce!taindetection

    ;igh 10

    o3 1

    =atingSeve!ity Occu!!ence etection

    ;a%a!dous 3ithout3a!ning

    8e!y high andalmost inevitable

    )annot detect o!detection 3ith ve!y

    lo3 !obability

    oss of !ima!yfunction

    ;igh !eeatedfailu!es

    =emote o! lo3chance of detection

    oss of seconda!yfunction

    Mode!ate failu!es o3 detection!obability

    Mino! defect Occasional failu!es Mode!ate detection!obability

    >o effect *ailu!e unli&ely Almost ce!taindetection

    >ote" A$A efinitions a!e in

    the aendix

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    12 2001 Six Sigma Academy

    etection Sco!es At 8a!ious evels Of he5!ocess

    Mate!ial o! !ocessinut

    5!evention etection etection etection

    et @ 1 et @ C et @ D et @ 10

    +xte!nal custome!

    o! do3nst!eam!ocess ste

    )ause

    5!ocess SteMate!ial o!!ocess inut

    *ailu!e Mode

    7efect9+ffect

    )ont!ols

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    13 2001 Six Sigma Academy

    he *i!st ;alf Of he *M+A *o!m

    htt"::333EualityEfo!dEcom:ca!:fmea:

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    he ast ;alf Of he *M+A *o!m

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    15 2001 Six Sigma Academy

    Method o )omlete A *M+A

    1E *o! each 5!ocess $nut, dete!mine the 3ays in 3hich the 5!ocessSte can go 3!ong 7hese a!e *ailu!e Modes9

    2E *o! each *ailu!e Mode associated 3ith the inuts, dete!mine +ffects

    CE $dentify otential )auses of each *ailu!e Mode

    FE ist the )u!!ent )ont!ols fo! each )ause

    GE Assign Seve!ity, Occu!!ence and etection !atings to each )ause

    HE )alculate =5>

    DE ete!mine =ecommended Actions to !educe ;igh =5>?s

    IE a&e a!o!iate Actions and ocument

    JE =ecalculate =5>?s

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    16 2001 Six Sigma Academy

    )omlete

    2!avel

    Autho!i%ation

    )ontact

    Agency

    2!avele!

    $nfo!mation

    8e!ification

    athe!

    )ustome!

    Billing $nfo

    AuthE

    )ode/

    +nte! 2!avel

    $nfo!mation

    $nto Sabe!

    )a!!ie! Sea!chAccetable

    A!!angements/

    =e1uest fo!

    =ese!vation

    5ayment

    5!ocessing

    )a!d

    A!oved

    =ese!vation

    Boo&ing

    +Ktic&et o!

    5ae!

    +mail

    8e!ification

    ene!ate

    Sabe! +Ktic&et

    $tine!a!y

    +mail $tine!a!y+nd

    )all

    Add!ess

    8e!ification

    0elive!y

    Method

    Selection

    5!int tic&ets 4

    $tine!a!y

    )onfi!m

    A!!angements

    3: 2!avele!

    5ac&age *o!

    Outgoing Mail

    Autho!i%ed 2!avel

    AuthE )ode

    Autho!i%ation

    *o!m, S

    0omestic

    $nte!national

    2!avele!

    A!ove!

    -ebsite, S

    2!avel Budget )

    )ost +stimate S

    )omute!

    Systems,>

    ocation

    8a!iation,>

    )ontact Se!vice, S

    5hone:-eb

    2!avel $nfo!mation,S

    2!avele!:0esignee, >

    Agency =esou!ces

    day time, S>

    afte! hou!s, S>

    )omute! Systems, >

    Measu!ement

    Systems, S

    2ime $n Lueue

    2ime in 8=.

    )all 8olume

    5ea& ;ou!s

    Agency =e1uest

    +nte!ed

    )o!!ect 2!avele!

    $nfo!mation

    2!avele! $nfo, S

    )omany $nfo, S

    =est!ictions if alicable, S

    5!efe!ences, S 7seat, c lass9

    Agent >

    2!avele! >

    )omute! Systems, >

    Measu!ement Sys tems, S

    )lient name, S

    ocation, S

    AuthE )ode, S

    Oe!ato!, S

    Agent >

    2!avele! >

    )omute! Systems, >

    Measu!ement

    Systems, >

    0ea!t )ity, S

    0estin )ity, S

    0ates of 2!avel, S

    Oe!ato! inut, S

    Agent >

    2!avele! >

    )omute! Systems, >

    Measu!ement Systems, >

    +nte! 2!avel

    5!efe!ences

    $nto Sabe!

    *!e1uent *lye! 5!og!ams, >

    5!efe!ence fo! )a!!ie!, >

    2!avele! $nut, S

    Agent >

    2!avele! >

    )omute! Systems, >

    Measu!ement Systems, >

    Se!vice, S

    0ates, S

    2imes, >

    )ost, >

    Sabe! 5!og!am, S>

    )omute! Se!vice, S

    Oe!ato! inut, S

    2!avele! inut, S

    )omany 5olicy, S

    Oe!ato! inut, S

    =eal time Sabe! system,S>

    Oe!ato! inut, >

    Agent >

    )omute! Systems, >

    Measu!ement Systems, >

    )o!!ect

    2!avele! Billing

    $nfo $ntoSystem

    (

    >

    2!avel $nfo

    +nte!ed$nto Sabe!

    Se!vice

    Otions

    0ete!mined

    =e1uest

    +nte!ed $nto

    Sabe! System

    )onfi!mation

    5!ofile Match, S

    )!edit )a!d , S

    +xi!E 0ate, S

    >ame on )a!d, S

    2!avele! inut, S

    )omute! System S

    Measu!ement Sys tems/

    =ese!vation

    Boo&ed

    2!avele! $nut

    Add!ess 8e!ified

    5!ofile .dated

    )ou!ie! Selected

    )all time

    >eed *o!

    2!avel

    =ationale, >

    8iable Alte!natives, >

    2!avele! >

    0estination

    )ustome!,>

    )omlete

    2!avel =e1uest

    *o!m

    =e1uest *o!m, S

    )ha!ge >oE, S

    2!avele! >

    ocation

    8a!iation, >

    )omute!

    Systems, >

    Othe! 5e!sonnel/

    *o!m 5!ocedu!e

    S

    2!avel

    $nfo!mation >

    $nfo!mation

    )o!!ect

    .dated5!ofile

    S>A5Accetable )ost/

    )omany 5olicy, S

    2!avel Autho!i%ation S

    2!ave!l $nut >

    (es

    >o

    Mail, S

    Ove!night, S

    )ou!ie!, S

    Oe!ato!

    inut, S

    Sc!een )oy, S

    $tine!a!y )oied

    )onfi!m

    A!!angements

    2!avele! $nut, S

    +mail Add!ess, )S

    $nte!net )onnect, SOe!ato! inut, S

    5!inte!, )>

    2ic&et Machine, )>

    Mete!, )

    5ac&aging, S

    -eight, )>Si%e, )>

    ,

    o3est )ost

    Sabe!, S

    Button, )

    Oe!ato! inut, S

    Sabe! udates, >

    *lag

    disc!eancy

    to )omany

    5olicy

    Sabe! System, S

    Oe!ato!, S

    )!edit System, S

    Oe!ato!, S

    Agent >

    2!avele! >

    )omute! Sy stems

    Measu!ement Sy stems

    Oe!ato!, S

    2!avele!, S

    )omute! System >

    !A$ !al ue Added

    %!A$ %usiness!alue

    Added

    &!A$ &on-!ale Added

    2!avel =e1uest

    Ai!line =ese!vation etailed 5!ocess Ma

    *ocus of

    5!oject identified

    By the )4+

    Mat!ix

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    2001 Six Sigma Academy

    his is the )4+Mat!ix fo! the

    !evious Ma 3ith

    the 6ey 5!ocess

    Stes 75$8?s9

    5a!eto?d by the

    otal Sco!e

    )4+ Mat!ix +xamle

    'atin of Iportance to *ustoers I 10 D F D H 10 J D J I J

    1 2 C F G H D I J 10 11 12

    =esou!ces

    Ao3est*a!es

    elive!yime

    ofic&et

    elive!yof

    $tine!a!y

    Se!vice5!ofesK

    sionalism

    Se!vice"

    )ou!teous

    imeinueue

    !avele!5!ofile

    )o!Billing

    imeto

    5!ocess7call

    )alls5e!

    !ansacttion

    )o!!ect

    ic&et:$tine!a!y

    otal

    rocess +tep

    G $nfo!mation 8e!ification G 0 J J H D H J D G 0 D G21

    1C Accetable A!!angements G J C 0 H D I D 0 D F 2 FJ1

    10 !avel 5!efe!ences 0 10 0 0 H D D I 0 H C D FHD

    H $nfo!mation )o!!ect G 1 1 C C C H J D G D D FH2

    D athe! )ustome! $nfo!mation G 1 1 1 H D H C 10 G H H FFJ

    20 Add!ess 8e!ification D 0 I I H D 2 J 1 C 0 I FCG

    J !avel $nfo!mation 0 0 0 0 H D H 0 0 G 10 10 CGJ

    1F Accetable )ost F 10 0 0 H D 2 2 2 2 F 0 C1I

    1J ye of ic&et D 0 J J 0 0 D 0 0 I 0 0 2JD

    F )ontact Agency I 0 0 0 H D 10 0 0 G 0 0 2JC

    11 S>A5 D 10 0 0 0 0 2 0 0 2 D F 2IH

    21 elive!y Method G 0 J J 0 0 D 0 I 1 0 0 2DF

    22 )onfi!m A!!angements F 0 0 0 H D C 0 0 C 0 J 2GF

    2H )onfi!m A!!angements F 0 0 0 H D C 0 0 C 0 J 2GF

    2F 5ac&age fo! outgoing mail 2 0 J J 0 0 G 0 0 D 0 0 22I1D )a!d A!oved 0 0 0 0 0 0 H 2 D H G 0 221

    I Autho!i%ation )ode 0 0 0 0 0 0 D 0 10 0 J 0 212

    12 )a!!ie! Sea!ch C I C 0 0 0 F 0 0 2 C 0 20D

    2D +mail $tine!a!y 2 0 D D 0 0 1 C 0 2 1 F 1J2

    1G =euest *o! =ese!vation H 0 0 0 0 0 F 2 1 G F 0 1J0

    1H 5ayment $nfo!mation 0 0 0 0 0 0 C J H 2 0 0 1D1

    2G Sabe! eKtic&ets 2 0 J J 0 0 1 C 0 2 0 0 1D0

    2C 5!int tic&ets and itine!a!y 2 0 C C 0 0 G 0 0 D 0 0 1H2

    1I =ese!vation Boo&ing D 0 0 0 0 0 C 0 I 2 0 0 1H0

    2I +nd )all 0 0 0 0 0 0 F 0 0 F 0 0 DH

    1 >eed fo! t!avel 0 0 0 0 0 0 0 0 0 0 0 0

    2 !avel =euest 5!ocess 0 0 0 0 0 0 0 0 0 0 0 0 0

    C !avel A!oval 0 0 0 0 0 0 0 0 0 0 0 0 0

    otal D20

    FJ0

    FJD

    2HI

    FF1

    FCI

    11I0

    GJF

    FHJ

    IJ1

    G0F

    HGD

    Airline 'eser,ation rocess*ause and Effect Matri

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    2001 Six Sigma Academy

    *M+A -o!&sheet

    Befo!e 3e move to the examle let?s loo& at an *M+A 3o!&sheetE heinfo!mation on this sheet is t!ansfe!!ed di!ectly to the *M+A fo!mE he

    u!ose of this 3o!&sheet is to focus the team on the *M+A inuts and

    not on sco!ing

    he sco!ing should be done afte! the basic inuts have been made

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    *M+A K Ste 1

    # *o! each c!itical 7high value9 5!ocess Ste:$nut, dete!mine the 3aysin 3hich the 5!ocess Ste:inut can go 3!ong

    # he fi!st t3o 6ey 5!ocess $nuts a!e 5!efe!ence fo! *!euent *lye!

    5!og!am and 5!efe!ence fo! )a!!ie!

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    *M+A K Ste 1 7)ont?d9

    # *o! each 5!ocess $nut 8a!iable 75$89, dete!mine the 3ays in 3hichthe inut can go 3!ong 7hese a!e *ailu!e Modes9

    # he!e is at least one 3ay that 5!efe!ence fo! *!euent *lye! 5!og!am

    and 5!efe!ence fo! )a!!ie! can fail

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    2001 Six Sigma Academy

    *M+A K Ste 2

    # *o! each *ailu!e Mode associated 3ith the inuts, dete!mine +ffects# hese effects a!e inte!nal !eui!ements fo! the next !ocess as 3ell as

    custome! effects

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    2001 Six Sigma Academy

    *M+A K Ste C

    # $dentify otential )auses of each *ailu!e Mode# $n most cases, the!e 3ill be mo!e than one )ause fo! a *ailu!e ModeE

    -e?ll &ee it simle fo! this exe!cise

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    *M+A K Ste F

    # ist the )u!!ent )ont!ols fo! each )ause# *o! each )ause, 3e list ho3 3e a!e eithe! !eventing o! detecting itE

    -e?d li&e to lace a !ocedu!e numbe! 3he!eve! 3e have an SO5

    his is ho3 the *M+A identifies initial holes in the )u!!ent )ont!ol

    5lanE 5!ocess teams can sta!t 3o!&ing on these holes !ight a3ay

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    2001 Six Sigma Academy

    *M+A K Ste G

    #Assign Seve!ity, Occu!!ence and etection !atings to each )ause# -e a!e no3 !eady to assign a!o!iate c!ite!iaE he team then sta!ts

    sco!ing each cause to comute an =5> numbe!

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    *M+A K Stes H And D

    # )alculate the =5>?s and dete!mine =ecommended Actions to !educe;igh =5>?s

    # -hich issues may 3e 3ant to add!ess fi!st/

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    *M+A K Ste DContinued

    # ete!mine =ecommended Actions to !educe ;igh =5>?s# >o3 fill in !ecommended actions fo! to =5>?s

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    27 2001 Six Sigma Academy

    5a!eto Of o =an&ing =5>?s

    #Actions !ecommended fo! high =5>?s# 6ey is *O).S

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    !ahical $nte!!etation Of Action 5!io!ities

    # =ate the actions based on N+ase of )omletion? on the ' axis# 1@ha!d and 10@uic&, simle and chea

    # 5lot the !n?s ve!sus ease in the !esective uad!ants

    #Add!ess lo3Khanging f!uit issues in the to !ight uad!ant fi!st

    +ase of )omletion;a!d +asy

    =5>

    o3K;anging

    *!uit

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    =5> 8e!sus +ase Of )omletion

    Adding a N+ase of )omletion? column and sco!es indicates that thehighest !an&ing =5> is also a uic&, simle and easy action to

    co!!ect

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    *M+A K Stes I And J

    a&e a!o!iate actions, document and !ecalculate =5>?s

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    ocument he )u!!ent )ont!ol 5lan

    # =ecall the cont!ol lan mentioned in 5!ocess Maing# )omlete the )u!!ent )ont!ol Method column ta&en f!om the *M+A

    )ont!ol 5lanExls

    )o!e eam" ate 7O!ig9"

    ate 7=ev9"

    rocess

    +tepInput .utput

    rocess+pec

    (/+/

    +/

    2aret)

    *p 4

    ate

    (+aple

    +i6e)

    Measure

    ent

    +yste

    7'' or

    42

    *urrent*ontrol

    Met9od

    (fro

    FMEA)

    :9o :9ere :9en'eaction

    lan

    Microsoft Excel Worksheet

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    Airline 'eser,ation Eaple

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    )a!!ie! Sea!chAccetable

    A!!angements/

    +nte! !avel

    5!efe!ences

    $nto Sabe!

    *!euent *lye! 5!og!ams, >5!efe!ence fo! )a!!ie!, >

    !avele! $nut, S

    Agent >

    !avele! >

    )omute! Systems, >

    Measu!ement Systems, >

    Se!vice, Sates, S

    imes, >

    )ost, >

    Sabe! 5!og!am, S>

    )omute! Se!vice, S

    Oe!ato! inut, S

    !avele! inut, S)omany 5olicy, S

    Oe!ato! inut, S

    Se!vice

    Otions

    ete!mined

    S>A5Accetable )ost/

    )omany 5olicy, S!avel Autho!i%ation S

    !ave!l $nut >

    o3est )ost

    Sabe!, SButton, )

    Oe!ato! inut, S

    Sabe! udates, >

    *lag

    disc!eancy

    to )omany

    5olicy

    >e3 etailed 5!ocess Ma

    #a!ge! !ocess focus is na!!o3ed to a small o!tion as indicated by the)4+ Mat!ix

    # S>A5 is the name of a button on the !avel Agency )omute! System

    called Sabe!

    # $f S>A5 is activated du!ing the sea!ch fo! ca!!ie! se!vice, Sabe! is

    !og!ammed to !etu!n alte!native itine!a!ies in o!de! of lo3est fa!es

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    *ailu!e Mode +ffects Analysis

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    5!io!iti%ed Actions

    5a!eto of *M+A !n?sLuad!ant cha!t";igh !n vsE +ase of )omletion

    Most of the cu!!ently identified actions aea! to be !elatively

    easy to add!ess he!e a!e a fe3 items out of ou! cont!ol

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    )onclusions *!om *M+A

    #)atego!i%ed inuts into !elated causes and 5a!eto?d sum of !esults

    # =ecogni%ed that most of Sabe!K!elated issues a!e out of ou! cont!ol

    # )!eated a data collection lan to validate assumtions in !emaining

    a!eas

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    37 2001 Six Sigma Academy

    )atault eam +xe!cise

    # ;o3 could a !ojectile fail to hit the ta!get o! !esult in excessiveva!iation/

    # Build a *M+A on the catault using the to five inuts identified on the

    )4+ Mat!ix

    # ist as many failu!e modes and effects fo! each of the five inuts

    # *licha!t a 5a!eto of !n?s ve!sus 5$8?s

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    38 2001 Six Sigma Academy

    etting Sta!ted

    #.tili%e 5!ocess Mas, ) 4 + diag!ams, ) 4 + mat!ices, data collection,3a!!anty analysis, testing, and othe! e!tinent info!mation

    # Select eole f!om functions di!ectly ust!eam and do3nst!eam f!om

    the !ocess unde! analysis

    # +nginee!ing

    # Manufactu!ing# Luality Assu!ance

    # Ma!&eting

    # Sulie!s

    # =eui!ed business functions

    # ;ealth, Safety and +nvi!onment 7;S+9

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    39 2001 Six Sigma Academy

    =elationshi o Othe! ools

    # Met!ics $dentification

    # 5!ocess Ma

    # ) 4 + iag!ams

    # ) 4 + Mat!ix

    esign *M+A 75!oduct o! Business 5!ocess9

    5!ocess *M+A 75!oduct o! Business 5!ocess9

    # Multiva!iate analysis

    # $dentification of vital fe3 inuts

    # esign !evie3s

    # Luality )ont!ol 5lan

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    40 2001 Six Sigma Academy

    hings o =emembe!

    # o not t!y alone, use a g!ou

    # ime consuming !ocess

    #Activities a!e !eui!ed fo! comletion

    # !ain team

    # 5!oe! !ea!ation fo! meetings

    # Summa!i%e often

    # $ndeendent voting

    # >egotiate issues

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    41 2001 Six Sigma Academy

    6ey ea!ning 5oints

    #

    #

    #

    #

    #

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    42 2001 Six Sigma Academy

    Objectives =evie3

    he a!ticiant should be able to"

    # $dentify and !io!iti%e !is& of failu!e occu!!ing

    # $dentify 's and thei! !elationshi to (

    # )onst!uct a comlete *M+A

    # ene!ate action items

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    FC 2001 Six Sigma Academy

    Appendi

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    FF 2001 Six Sigma Academy

    Autooti,e Industry Action ;roup (AIA;)efinitions

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    45 2001 Six Sigma Academy

    Seve!ity efinitions 7A$A9

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    46 2001 Six Sigma Academy

    Occu!!ence 5!obability 7A$A9

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    47 2001 Six Sigma Academy

    etection 5!obabilities 7A$A9

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    !adema!&s and Se!vice Ma!&s

    Six Sigma is a fede!ally !egiste!ed t!adema!& of Moto!ola, $ncE

    B!ea&th!ough St!ategy is a fede!ally !egiste!ed t!adema!& of Six Sigma AcademyE

    8$S$O>E *O= A MO=+ 5+=*+) -O= is a fede!ally !egiste!ed t!adema!& of Six Sigma AcademyE

    +SS+>+L is a t!adema!& of Six Sigma AcademyE

    *ASA= is a t!adema!& of Six Sigma AcademyE

    B!ea&th!ough esign is a t!adema!& of Six Sigma AcademyE

    B!ea&th!ough ean is a t!adema!& of Six Sigma AcademyE

    esign 3ith the 5o3e! of Six Sigma is a t!adema!& of Six Sigma AcademyE

    egal ean is a t!adema!& of Six Sigma AcademyE

    SSA >avigato! is a t!adema!& of Six Sigma AcademyE

    Sigma)A) is a t!adema!& of ix Sigma AcademyE

    i!afxis a t!adema!& of Mic!og!afx, $ncE

    Sigma=A) is a t!adema!& of u5ontE

    M$>$AB is a t!adema!& of Minitab, $ncE