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    H PTERSIX

    Unmasking

    the

    HddenFactory

    s

    young

    engi neer , Mkemanaged t he s t a r t e r motor f i e l d

    c o i l

    oper -

    at i on

    f or

    l ar ge

    di vi s i on of maj or aut omobi l e manuf act ur er Sever al

    weeks

    i n t o t he j ob, Mke

    di scover ed that t he

    company s

    mant r a was

    Meet

    pr oduct i on schedul e

    at

    ny

    cost

    meani ng

    that

    t he

    penal t i es

    f or not

    del i ver i ng cer t ai n

    number of f i e l d

    c o i l s

    by a speci f i ed date

    t o

    t he as sembl y

    pl ant were

    f ar

    greater than i ncur r i ng

    addi t i onal

    costs

    t o pr oduce

    t he

    f i e l d c o i l s on

    t i me

    M ke s success

    as a

    f r ont - l i ne

    man

    ager depended

    on

    pr oduct i on speed and

    quant i t y, nd

    he was

    r ewar ded w t h

    pr omot i ons and sal ar y i ncr eases

    f o r pushi ng hi s

    empl oyees t o

    bui l d

    more

    f i e l d c o i l s rather

    than

    examni ng

    and

    cor-

    r ect i ng t he root causes f or

    def ect i ve f i e l d c o i l s , whi ch l ed t o yi el d

    l o s s

    s l ong as hemet

    t he

    pr oduct i on

    schedul e, l t t l

    was

    sai d about t he

    pr ocess yi el d

    Recogni zi ng

    M ke s a b i l i t y t o

    consi st ent l y

    meet

    pr oduc-

    t i on nd schedul i ng r equi r ement s ( w t h no regard

    t o

    c o s t ,

    t he

    com

    p ny

    r ewar ded

    himf o r bei ng such n

    e f f i c i e n t

    nd

    dependabl e

    manager , nd sel dom ques t i oned t he oper at i on s

    escal at i ng over -

    t i me,

    mat er i al s,

    i nspect i on,

    nd r ewor k costs

    Focus was pl aced

    on

    t he outcome Y ,

    rather than

    t he process

    X Thi s phi l osophy

    di d

    not

    al l ow

    ny t i me

    t o

    i mpr ove t he

    process, but f ocused on keepi ng

    t he

    l i n e

    r unni ng

    Compani es

    that pr oduce pr oduct s nd ser vi ces

    at f our s i gma and

    l ower l e v e l s of qual i t y spend n ext r aor di nar y

    amount

    of t i me and

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    money

    pr act i ci ng

    what

    we c a l l

    det ect i on

    and cor r ect i on of mstakes

    and

    errors

    So

    per vasi ve

    i s t h i s

    pr act i ce t hat compani es unwi t t i ngl y

    create hi dden

    f actor i es

    adhoc syst ems and

    processes set up t o

    c o r

    r e c t e r r o r s

    made

    dur i ng t he

    manuf act ur i ng

    process

    They

    take

    up

    unnecessar y

    space

    t i me

    and

    resources

    i dden

    process canbe a s

    si mpl e

    a s

    Mar y i n

    epartment

    B

    r et ur ni ng a

    def ect i ve part back t o

    J ane i n

    Department A

    before

    t

    not i ced

    by

    management

    Al t hough

    empl oyees may t hi nk they

    ar e act i ng

    r esponsi bl y when

    they hand

    back

    a def ect i ve pr oduct or s e r v i c e

    of t e n they

    ar e maski ng a bad

    process

    f r o m

    management

    Consequent l y

    processes

    ar e

    never

    f i x ed

    whi l e hi dden

    processes becomemore

    e f f i c i e n t

    and

    l e s s v i s i b l e

    Dat a

    recorded

    by empl oyees i n t hei r weekl y

    or monthl y noncon-

    f or mance reports f o r

    extra mat er i al and

    l abor

    costs

    ar e

    not hi dden f a c

    t o r i es

    s i nce these

    costs

    ar e measured and recorded i n

    a

    v i s i b l e

    way

    Cost s t h a t

    ar e

    not made

    known t o management ar e par t of

    t he hi dden

    factory

    Cost s

    that

    cannot

    be

    br oken

    down

    and

    traced

    t o

    s p e c i f i c

    oper-

    at i ons

    ar e

    a l s o

    hi dden

    H dden

    f actor i es ar e not excl usi ve t o manu

    f ac tur i ng

    They

    ex i s t i n

    a l l parts

    of an

    or gani zat i on and al t hough they

    often

    f unct i on

    wi t h

    t he

    best

    of i nt ent i ons

    they ar e r esponsi bl e f o r

    l onger cycl e t i mes

    i ncr eased c o s t s and

    i nef f i ci ent

    use of

    resources

    Li ke def endi ng agai nst st eal t h

    f i ght er pl anes

    compani es

    cannot

    f i gh t

    what they cannot see or

    t r a c e

    Ever y def ect

    takes

    addi t i onal

    space

    t i me

    mat er i al s

    money and

    manpower f or det ect i on i nspect i on

    a na l y s i s and

    def ect

    r epai r

    s

    def ect

    r at es i ncr ease hi dden

    f a c t o r i e s

    i n a company or pr oc es s t end

    t o pr o l i f er a t e

    and cost s escal at e

    Most

    execut i ves

    don t

    r e a l i z e

    how

    expensi ve hi dden

    f a c t o r i e s

    ar e

    s

    di scussed

    bef or e

    costs i n t h i s

    i nst ance refer

    not

    onl y

    t o f i nanci al d o l l a r s but

    t o

    qua l i t y

    cust omer

    per cept i on and

    ret urn busi ness

    al l of whi ch

    ar e

    i nt er dependent

    Busi nesses

    t hat ar e abl e

    t o

    pr event

    defects through

    better

    control

    of

    process

    c apa bi l i t y rather than wai t i ng

    t o det ect defects a t t he end

    of

    pr oduct i on

    or compl et i on of a s e r v i c e

    see

    enormous i mpr ovement s

    i n

    t h ei r

    p r o f i t mar gi ns

    a s

    Mot or ol a di d wi t h i t s

    hi ghl y pr of i t abl e Bandi t

    pager

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    UNM SKING

    THEHDDEN

    F TORY

    1

    ri ngi ng Vi si bi l i t y i nto

    the Hdden Factory

    Customer

    surveys r ej ect i on reports returned goods and war r ant y

    cl ai ms

    a l l

    pr ovi de

    compani es

    wi t h

    data

    on

    how

    wel l

    t h e i r

    pr ocesses

    ar e

    p e r f o r m n g

    Theyar e abl e t o count t he number of pr oduct or

    s e r -

    vi ce uni t s

    t h a t

    went i n to a

    process

    andt he

    number that successf ul l y

    came

    out

    T r a d i t i o n a l l y , compani esuse t h i s

    type of data

    t o

    cal cul ate a

    met r i c

    cal l ed yi el d t he number of

    uni ts

    that

    pass a par t i cul ar

    i nspecti on

    compared wi t h

    t he t o t a l number

    of

    uni t s t hat

    pass

    t hr ough

    that

    poi nt

    i n

    t he

    process

    E s s en t i a l l y ,

    t h i s

    metr i c

    b o i l s

    down

    t o

    a si mpl e

    concept

    output di vi ded by i nput

    t he

    amount

    of good

    s t u f f

    compani es

    ar e

    abl e t o make

    contrasted

    t o

    t he t o t a l

    amount put

    t hr ough t he

    system

    Thi s measure of

    oper at i onal

    ef f ic iency

    has very strong i n t u i t i v e

    appeal andi s

    qui te

    easy t o

    cal cul ate

    but

    t a maj or manager i al t r a p

    I t

    has t he

    a b i l i t y

    t o

    gr avel y

    m sl ead

    and

    decei ve

    I t i s

    t he

    cl oaki ng

    mechani sm

    that al l ows hi dden oper at i ons

    pr ocesses

    and

    factories

    t o

    e x i s t

    I t s

    v i rus i s embedded i n many commonl y used i ndi ces of per

    f or mance

    f i r st ti me y i e l d,

    f i r s t - p a s s

    y i e l d, and

    f i n a l

    y i e l d,

    j u s t

    t o

    menti on

    afewThebasi c i dea of

    contr asti ng

    output to i nput l i e s a t t he

    hear t

    of

    a l l

    such metr i cs

    To better under st and

    how

    hi s i dea can m s

    l ead

    and decei ve

    l e t s consi der

    two

    scenar i os

    I n t he f i r s t scenar i o i magi ne two

    uni ts

    of pr oduct that were

    r ecent l y

    pr oduced

    a t some poi nt i n

    a manuf act ur i ng

    process

    s a y ,

    uni t

    numbers 101

    and

    102 r especti vel y

    These

    two uni ts have

    j u s t

    arr ived

    at

    our

    i nspecti on

    stati on

    f or

    eval uat i on

    Uni t

    101

    f r ee of

    defects

    however uni t

    102 cont ai ns

    two

    defects

    I n

    t he

    second sce

    nar i o

    we s ha l l consi der uni t

    numbers

    3and

    104

    Her e uni t

    103

    i s

    e r r o r - f r e e ,

    but

    uni t 4 cont ai ns ei ght defects

    Wenconsi der i ng

    t he

    twouni ts

    descr i bed

    i n

    t he f i r s t scenar i o t he

    f i r s t - t i me yieldwouldbe

    computed

    a s output 1 )

    over i nput 2 ) , or

    . 5 ,

    whi ch i n per centage t er ms

    equal s

    5 percent

    I n

    t he

    second scenar i o

    t he f i r s t - t i me

    y i e l d

    wouldbe

    t he

    same

    5 percent

    From

    t h i s per

    specti ve both

    pr ocessi ng scenar i os ar e

    rated a t

    t he

    same

    l e v el

    of

    per

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    82 SIX SIGM

    f ormance ;

    however ,

    from

    a

    qual i t y perspect i ve,

    t hey

    are di f f erent I n

    t he

    f i r s t

    scenari o, t he t o t a l def ect s

    per

    uni t t he

    TDPU woul dbecom

    put ed as twodef ect s di vi ded by two un i t s or

    2 / 2

    whi chequal s 1 . 0

    For

    t he

    second

    scenar i o,

    we

    woul d

    compute

    t he

    T PU

    as

    ei ght

    def ect s

    di vi ded by t he two un i t s or 8/ 2 = 0 Si nce each repai rabl e def ect

    w t hi n a product

    must

    be det ect ed, anal yzed, and f i x ed t obvi ous

    t h a t

    t he cost of product i on

    i n

    t he

    f i r s t

    scenar i o l e s s t han

    t h a t

    of t he

    second

    Thus,

    t o t a l

    cost

    correl at es

    t o T PU

    but not

    t o f i r s t - t i me

    y i e l d

    I n

    ot her words,

    yi el d can

    r emai n

    const ant

    whi l e

    cost va r i e s

    whereas

    t here

    a

    st rong correl at i on

    between

    def ect s

    and

    cost s

    Hence,

    we

    can

    be

    seri ousl y

    decei ved when

    wegauge our success on t he bas i s of c l a s -

    s i c yi el d

    cal cul at i ons

    St at ed more s c i e n t i f i c a l l y

    yi el d

    i s

    a

    f unct i on

    of

    def ect s, not

    out put and i nput

    I n

    s h o r t

    t he

    gi venmethodof

    yi el d

    c a l -

    cul at i on

    wrong

    and

    masks

    t he hi dden f act ory

    Rarel y are

    product s or servi ces creat ed

    i n a

    s i n g l e step

    Fi nal y i e l d

    t he

    same

    cal cul at i on

    as

    f i r s t - t i me

    yi e l d

    but

    a f t e r

    t he

    l a s t

    st ep i n

    a

    s e r i e s of st eps i n a process

    * Hence many

    compani es

    us e t he term

    f i na l

    y i e l d

    Much l i k e f i r s t - t i me y i e l d

    f i n a l

    yi el d does not

    accurat el y

    measure

    process

    per f ormance

    Unf or t unat el y,

    t he

    vast maj or i t y of i ndust ri al

    operat i ons

    measure

    f i r s t - t i me yi el d t o cal cul at e t he ef f i ci ency of

    each process

    On

    t he

    s u r -

    f a c e f i r s t - t i me

    yi el d

    has

    st rong

    i n t u i t i v e

    appeal

    and

    i s

    easy

    t o

    cal cu

    l a t e

    However ,

    t i gnores

    cycl e

    t i me, overal l product qua l i t y and t he

    cost

    t o

    produce

    t

    The

    f ol l ow ng

    i s anot her i l l u s t r a t i o n of why f i r s t -

    t i me

    y i e l d

    an unrel i abl e met r i c

    I magi ne t hat

    a

    companyproduces

    pl as t i c

    cups t hrough an

    i nj ec-

    t i on process,

    and

    t hat

    t en

    cups canbeproduced i n

    t he samemol d

    t ypi cal pl ast i c i nj ect i on process consi st s of pl ast i c pel l et s i nput )

    goi ng

    i n t o

    a

    mol d

    wi t h c av i t i e s ; t hrough pressure

    and t emperat ur e

    changes,

    t he

    cups are f ormed output), andabl ade used

    t o

    t r i mt he

    * I n

    many i n d u s t r i a l

    s e t t i n g s

    f i n a l yi el d i s

    t he

    onl y process per f ormance met r i c t hat i s measur ed

    and repor t ed Thi s s i n g l e measurement i s used t o

    report

    on howwel l

    t he

    process i s

    worki ng

    Thi s

    type o f y i e l d can be t hought of as

    post - process yi el d

    because

    t

    can be assessed onl y a t t he

    end

    o f

    t he

    process

    I t s

    c o r o l l a r y

    i n t he Si x Si gma wor l d

    r o l l e d t hroughput y i e l d I n general , f i n a l

    yi el d

    i s

    t he pr obabi l i t y

    t hat a un i t

    w i l l successf ul l y

    pass

    al l

    of t he systeml evel

    requi rement s

    assessed at

    t he

    end

    of

    t he

    process,

    whereas

    r o l l e d

    t hroughput

    y i e l d

    i s

    t he

    pr o babi l i t y

    of

    pass i ng

    al l

    i n- process

    requi rement s as wel l

    a s end-of - l i ne requi rement s

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    UNM SKNG

    THE

    HDDEN

    F TORY

    3

    excess

    pl ast i c

    f rom

    ar ound t he edges However

    t he

    oper at or oversee-

    i ng t he process

    not i ces

    t hat f i v e

    out

    of

    t he

    t en cups

    ar e

    def ect i ve and

    he pl aces t he f i v e bad

    cups

    i nt o a

    shredder knowng

    that t he

    pl ast i c

    can

    be

    reused

    and

    sends

    t he

    f i v e

    good

    cups

    on

    t o

    i nspect i on

    I n

    t h i s scenari o f i r s t - t i me

    y i e l d

    wi l l be percent because

    of t he

    f i v e cups

    tested each

    wi l l

    pass

    i nspect i on Furt her no mat er i al s

    wer e

    was t ed

    The

    def ect i ve uni t s were

    recycl ed

    back

    i n t o

    t he process t o pr o

    duce good

    uni t s and t he rej ect ed cups

    wer e

    never recorded i n a non-

    conf ormance report

    The

    t i me spent

    r emaki ng t he

    def ect i ve cups i s not

    capt ured

    i n

    any

    cost st ructure

    As

    such

    t

    const i t ut es

    a

    hi dden

    factory

    How

    oMasure Process

    Performnce

    Theway

    compani es

    masure

    andcal cul at e

    per f ormance canrei nf orce

    t he use

    of

    cost l y

    hi dden

    f act ori es

    To

    expose

    t he

    unnecessary

    and

    cost - i nt ensi ve

    r ework and repai r

    processes

    one

    mst

    have t he

    r i g h t

    per f ormance measures

    The wrong or i nappropri at e

    met r i cs can

    decei ve and msl ead whi l e t he

    r i g h t

    met r i cs can

    act

    l i k e

    an X- ray

    mchi ne

    exposi ng operat i onal

    di seases and

    mnagemnt

    mal i gnan-

    c i e s

    E s s e n t i a l l y

    t here

    are

    t hree

    f undament al met r i cs

    t h a t

    when

    used

    c o l l e c t i v e l y

    can

    expose

    even

    t he

    smal l est

    i nef f i ci enci es

    i n

    a

    process

    or

    f a c i l i t y These

    met r i cs ar e throughput yi el d

    r ol l ed

    throughput

    yi el d

    and norml i zed

    yi el d

    ach

    of t hese yi el d

    masuremnts i s based on

    t he

    def ect s

    pr oduced wher eas t he

    mre

    c l a s s i c al

    measures of

    y i e l d

    ar e

    based on

    t he

    numer of

    uni t s

    pr oduced At f i r s t

    gl ance

    one

    mght

    be i ncl i ned t o

    concl ude that

    t here i s n t r e a l l y that mch

    di f f erence

    Upon

    deeper

    i nvest i gat i on

    however

    t he

    opposi t e

    i s

    seen

    t o

    be

    true

    Underst andi ng

    t h i s

    di f f erence

    i s

    what separat es

    a f our s i gma

    process

    f roma s i x

    s i gma

    process

    UN ERST N NG

    THE SIX SIGM PRO ESS

    METRI S

    Throughput

    yi el d

    i s

    t he

    probabi l i t y t hat al l

    defect

    oppor t uni t i es

    pr oduced a t a

    part i cul ar

    st ep i n

    t he

    process

    w i l l

    conform

    o

    t h e i r

    respect i ve per f ormance

    st andards

    I t

    t he l i kel i hood

    of doi ng

    al l

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    t hi ngs

    r i g h t a t

    a

    gi ven

    poi nt i n t he process

    Rol l ed throughput

    yi el d i s

    t he probabi l i t y of bei ng

    abl e

    t o pass a uni t of product or ser vi ce

    t hr ough

    t he ent i re

    process

    def ect - f r ee

    Expressed d i f f e r e n t l y

    ro l led

    t hr oughput yi el d

    i s

    t he l i kel i hood of doi ng

    al l

    t hi ngs

    r i ght a t

    each

    step

    across an ent i re s e r i e s of pr ocess

    st eps

    Si x i gma a l so

    makes use of

    what i s cal l ed

    normal i zed

    yi el d Normal i zed

    y i e l d can

    be t hought of as

    t he average t hr oughput

    y i e l d resul t

    onewoul d expect at any

    gi ven

    step of t he process i t r epr esent s t he

    t y pi c a l y i e l d one

    coul d expect

    I n t h i s sense normal i zed

    yi el d i s

    a

    basel i ne measure I t

    i s t he

    base

    met r i c

    f r om

    whi ch

    a

    s i gma

    measurement

    i s

    computed

    CONTR STINGFIRST TIME

    YIELD

    TOT ROU PUT

    YIELD

    Most compani es

    curr ent l y u t i l i z e two

    measur es

    of

    yi el d- f i r s t -

    t i me

    yi el d

    and

    f i n a l yi el d

    ompani es

    that

    us e these

    measur es

    of ten

    f i n d

    that

    they

    have

    hi gh

    y i e l d

    r a t e s and assume someti mes mstak-

    e nl y

    t hat t hei r

    pr ocesses ar e oper at i ng

    ef f ect i vel y

    Therear e i mpor t ant

    di st i nct i ons between

    t he

    c l a s s i c

    meas ur es of

    yi el d

    and

    those advanced by t he Si x Si gma

    school of

    t hought

    s d i s -

    cussed

    above whi l e i t i s t r ue that f i r s t - t i me yi el d

    can ref l ect

    process

    e f f i c i e n c y i t most of ten does so onl y

    a f te r

    t he i nf l uence

    of

    t he

    hi dden

    factory Throughput y i e l d on

    t he

    ot her hand measur es process

    e f f i -

    ci ency

    bef or e

    t he

    hi dden

    f act ory Fi r s t - t i me yi el d

    i s

    basedon

    t he

    t o t a l

    number

    of

    uni t s

    produced r egardl ess of

    t he

    number of

    oppor t uni t i es

    f or

    def ect s

    cont ai ned w t h i n

    a uni t Throughput y i e l d however i s

    based on

    t he t o t a l number

    of c r i t i c a l - t o - q u a l i t y charact er i st i cs

    per

    uni t andnot

    t he number

    of uni t s

    produced

    I n

    ot her

    words

    f i r s t - t i me

    yi el d

    i s

    uni t

    s e n s i t i v e and

    t hr oughput

    yi el d

    i s

    def ect

    sensi t i ve

    Fi r s t - t i me yi el d

    i s

    not

    sensi t i ve

    t o

    product

    compl exi t y

    i t s i mpl y l ooks a t

    t he

    quant i t y

    of

    uni t s

    pr oduced

    Throughput

    yi el d i s ext r emel y sensi t i ve t o product

    compl exi t y

    as

    wel l

    as t o t he

    t o t a l

    number of

    def ect opport uni t i es

    cont ai ned i n

    a uni t of

    product or servi ce

    I n ot her wor ds whi l e f i r s t - t i me yi el d

    measur es howwel l compa

    ni es

    process uni t s t hr oughput

    y i e l d

    measur es

    how

    wel l

    compani es

    process qual i t y

    Thi s i s

    why

    t he Si x Si gmayi el d

    measurements

    have

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    UNM SKING

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    HIDDEN

    F TORY

    85

    a hi gh s t a t i s t i c a l cor r el at i on t o l a b o r costs,

    cyc l e t i me,

    and work i n

    process i nvent or y) , whi l e c l a s s i c meas ur es showl i t t l e cor r el at i on

    ONTR STINGFIN L

    YIELD

    TO

    ROLLEDT ROU PUTYIELD

    Al t hough f i n a l

    y i e l d t o o i s a w del y

    used met r i c, t has

    several

    dr awbacks

    Li ke f i r s t - t i me y i e l d

    f i n a l y i e ld

    i s

    based on t he

    t o t a l

    num

    ber

    of uni t s pr oduced,

    whi l e

    r o l l e d

    t hr oughput

    y i e ld

    i s

    based

    on

    t he

    t o t a l number of

    def ect oppor t uni t i es

    pr oduced Here

    agai n,

    f i n a l

    y i e l d

    s based on

    r esul t s cal cul at ed a f t e r

    t he

    def ecti ve

    uni t s

    have

    been

    processed

    t hr ough

    t he

    hi dden

    factory

    r epai r

    and

    r ewor k

    l oops)

    Rol l ed

    t hr oughput

    y i e l d

    does

    not suffer

    from

    h i s l i m t a t i o n

    because t mea

    sures

    y i e ld i ndependent

    of any

    i nf l uences

    f r om

    t he hi dden factory

    I n t e r e s t i n g l y

    there

    i s no connect i on between f i r s t - t i me

    y i e l d

    and

    f i n a l

    yi el d they ar e i ndependent

    meas ur es

    I n ot her wor ds , f i r s t -

    t i me yi el ds cannot be

    used

    t o cal cul at e

    t he f i n a l

    y i e ld There

    s

    how

    e v e r

    a

    di rect i on

    cor rel at i on

    between

    Si x

    Si gma

    measur es

    of

    y i e l d

    because

    al l of these

    meas ur es

    ar e basedon def ect dat a Throughput

    y i e l d

    i s basedon def ect s- per - oppor t uni t y dat a, and r o l l ed t hr oughput

    y i e l d

    i s based ondef ect s- per - uni t dat a

    I n

    t h i s

    case, bot h measur es ar e

    dependent on

    qual i t y

    i nf or mat i on

    rather t han

    pr oduct i on vol ume

    I n

    essence,

    f i n a l yi el d

    reports

    on

    t he pr opor t i on

    of

    pr oduct

    or

    s e r -

    vi ce uni t s t hat

    pass

    i nspect i on,

    whi l e

    r o l l ed

    t hr oughput

    y i e l d

    reports

    on t he l i kel i hood that any gi ven pr oduct or ser vi ce uni t

    wi l l

    pass

    t hr ough t he ent i re process error - f ree

    Fi nal

    yi el d t e l l s us what we di d

    andr o l l ed t hr oughput y i e ld

    t e l l s

    us what we

    wi l l

    do I n e vi t a b l y r o l l ed

    t hr oughput yi el d i s subst ant i al l y

    l e s s

    than

    f i n a l

    y i e l d

    PPLYING

    THE

    METRI S

    T ROU PUT

    YIELD

    Agai n,

    t hr oughput

    yi el d

    t e l l s us

    t he

    s t a t i s t i c a l

    l i kel i hood that

    a

    uni t of

    pr oduct

    or ser vi ce

    w i l l pass t hr ough a

    cer t ai n process step

    e r r o r - f r e e

    I t

    s t he probabi l i t y of achi evi ng

    conf or mance

    t o

    s tan

    dar ds

    f or

    al l

    of

    t he c r i t i c a l - t o - q u a l i t y char acter i st i cs CTQs

    i n a

    p a r -

    t i c u l a r

    step

    i n a process

    Supposewe

    have a

    process cons i s t i ng of

    f i v e

    steps L e t s

    assume

    1 uni t s

    have j u s t passed t hr ough Step

    3

    of

    t he

    f i v e - s t e p process

    L e t s

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    a l s o

    assume

    t h a t each

    of t he uni t s has 2

    CTQs, or oppor t uni t i es f or

    def ect

    whi chwe

    wi l l desi gnat e

    by t he

    l e t t e rL e t s

    assume

    t h a t

    we

    have j u s t obser ved

    5

    def ect s

    across t he

    100

    uni t s At

    t h i s poi nt

    wecom

    pute

    t he

    def ect s per

    uni t

    DPU

    t o be

    PU=5/ 100

    =

    . 0 5 ,

    or

    5

    per cent

    G ven

    t hat

    there

    are 2

    CTQs per uni t ,

    t he def ects

    per oppor t uni t y

    DPO woul d

    bePUM

    = 05/ 20

    =

    . 0025

    Usi ng

    t h i s c al c ul a t i on,

    we

    cansay t hat t he pr obabi l i t y of cr eat i ng

    adef ect i ve oppor t uni t y i s . 0

    025

    or . 2 5 per cent

    Thus t he oppor t uni t y

    l e ve l

    y i e l d

    woul dbe

    -

    . 002

    5 =

    . 9975 or 99 . 75

    per cent

    We coul d

    compute

    t he def ect s

    per

    m l l i o n

    oppor t uni t i es

    a

    standard

    Si x

    Si gma

    measur ement

    as

    PMO

    =

    PO

    x

    1 000 000

    = 0025 x10 =2 500 Thi s converts t o 4. 3 s i gma capabi l i t y

    per

    oppor t uni t y

    us i ng a standard s i gma

    conver si on

    char t

    Nowwe

    can

    say

    t h a t

    i f ever y

    oppor t uni t y i s 4. 3 s i gma

    capabl e

    and there are 20

    oppor t uni t i es per uni t , t hen

    we

    shoul d ant i ci pat e an aver age

    of . 05

    def ect s

    per

    uni t f o r those uni t s passi ng

    through Step 3

    I n

    ot her wor ds

    5

    out

    of

    ever y

    1

    uni t s

    created

    at

    Step

    3

    of

    t he

    pr ocess

    wi l l

    cont ai n one or

    more

    def ect s and consequent l y

    f a i l

    t o

    y i e l d Thi s

    gi ves us a t hr oughput yi el d of 95 per cent

    95

    out

    of

    ever y 100

    uni t s created

    wi l l

    pass through Step 3 of

    t he

    process wi t h

    zero

    def ect s

    Nowcompare t h i s wi t h f i r s t - t i me

    yi el d

    I f

    onl y of

    t he 100 uni t s

    pr oduced

    cont ai ned

    al l

    5

    of

    t he obser ved

    def ects

    t he

    f i r s t - t i me

    yi el d

    woul dbecomputed as 99

    good

    uni t s

    out of

    100

    t o t a l

    uni t s s t a r t e d , or

    99 100 =. 99,

    or

    99 per cent

    On

    t he

    ot her hand i f

    t he 5 def ect s

    occurred

    i n

    5

    di f f er ent uni t s , t he

    f i r s t - t i me

    yi el d

    woul d be 95

    / 1 =

    . 95 ,

    or 9

    5 per cent

    I n

    ot her wor ds f i r s t - t i me y i e l d i s hi ghl y

    dependent

    onhow

    t he

    def ect s

    ar e di s tr i but ed

    across t he sampl e

    uni t s Thr ough-

    put

    y i e l d ,

    on

    t he ot her

    hand

    r emai ns

    constant

    and

    t her ef or e

    of fers

    a

    more

    accurate ass essment

    of

    a

    par t i cul ar

    step

    i n

    apr ocess

    Thi s i s t he pr i mar y di f f er ence between

    f i r s t - t i me

    y i e l d andt hr ough-

    put y i e l d

    I n many cases these two methods of

    y i e l d

    cal cul at i on can

    r eveal a ver y

    d i f f e r e n t

    sense of t he process

    Fi r s t - t i me

    y i e l d

    i s al most

    al ways equal t o or hi gher t han t hr oughput

    y i e l d

    I n t h i s sense t hr ough-

    put y i e l d i s

    t he

    gr ound

    f l o o r of

    f i r s t - t i me

    y i e l d

    Thus

    f i r s t - t i me

    y i e l d

    can pr ovi de

    amore o p t im s t i c and rosy pi ct ur e of process e f f i c i e n c y ,

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    UNM SKINGTHE

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    87

    whi l e t hroughput

    y i e l d

    provi des

    a def ect- sensi t i ve

    pi ct ure that

    hi ghl y corr el at ed t o t hi ngs such

    as c o s t ,

    i nventory,

    and cyc l e

    t i me

    PPLYING

    THEMETRI S ROLLED

    THROUGHPUT YIELD

    Because

    rol l ed t hroughput yi el d gi ves

    us

    t he

    probabi l i t y of zer o

    def ect s

    across an enti re process, t i mpor t ant

    t o

    better understand

    t h i s concept and

    see

    how

    t i s di f f erent from

    i na l

    y ie ld Consi der t he

    f ol l owi ng exampl e

    Bl ackBel t i s wor ki ngon

    at r ansact i onal

    process

    t hat i nvol ves

    f i v e

    i ndependent

    steps

    and

    she

    wants

    t o

    compute

    t he

    rol l ed

    t hroughput

    y i e l d

    of t he

    process

    The

    Bl ack Bel t

    must

    f i r s t gat her

    def ect

    data on

    each

    TQ

    roduced

    at

    each of t he

    f i v e steps

    Wth these data i n hand,

    t he Bl ack

    Bel t woul d have

    al l

    t he necessary

    i nf ormat i on t o compute

    t he t hroughput

    y i e l d

    f o r each step as i n

    t he

    pr evi ous

    i l l u s t r a t i o n )

    The Bl ack Bel t

    computed

    t he t hroughput

    yi el ds

    f or each step

    of

    t he

    process

    and

    recorded

    t he

    yi el ds

    as

    98

    percent,

    93

    percent,

    95

    per-

    cent, 98 percent, and94 percent,

    r espect i vel y Tocompute t he

    rol l ed

    t hroughput y i e l d ,

    t he

    Bl ack Bel t si mpl y

    mul t i pl i ed al l

    of t he

    i n d i v i d -

    ual

    t hr oughput yi el ds . 98 x . 93

    x

    . 95

    x

    . 9 8

    x

    . 94

    =

    . 7 976 ,

    or appr ox-

    i matel y

    8 percent Thi s t e l l s

    us t he l i kel i hood

    of passi ng a uni t of

    product t hr ough

    al l f i v e

    steps

    error-free .

    Rol l ed

    t hroughput

    y i e l d

    can

    rapi dl y

    decrease

    as

    t he

    number

    of

    steps i ncr ease Thi s

    i s

    why

    a

    company, pl ant , or servi ce

    oper at i on must

    have hi gh t hroughput

    y i e l d s at each st ep i n t he

    process

    i n

    order

    t o

    achi eve a hi gh r o l l e d t hroughput y ie ld

    I t must

    al so t r y t o m n i m z e

    t he

    o v e r a l l

    number of steps andCTQs

    Whi l e t hroughput

    y ie ld

    i s onl y

    sen-

    s i t i v e

    t o t he number of CTQs i n a

    product ( pr oduct

    compl exi t y) , r o l l e d

    * At t hi s poi nt i nour di scussi on the reader

    may

    wonder

    why

    we don t simpl yaggregate the

    f i r s t -

    t i me yi el ds

    General l y

    speaki ng the simpl e

    cross-mul ti pl i cati on

    of f i r s t - t i me yi el dvalues ref l ects

    the probabi l i ty that anygi ven

    uni t

    of product w l l

    pass

    a l l functi onal test poi nts i n a process I t

    does not reveal the probabi l i tyof

    passi ng

    a

    uni t

    of product

    throughthe enti re

    process defect- free

    Onlyrol l ed throughput yi el d

    can

    provi de

    thi s

    i nformat i on I f

    one

    i s trul y customer

    focused

    and

    concerned

    wth

    val ue

    enti t l ement then themeasure

    of process effi ci ency sel ectedshoul d r ef l ec t

    not

    onl y

    the l i kel i hood of product

    functi onal i ty

    but

    form

    and

    f i t as

    wel l

    In

    other

    words rol l ed

    throughput yi el d i s the

    probabi l i ty

    of

    meeti ng

    a l l requi rements

    throughout the

    process

    not j ust

    those

    requi rements

    rel ated

    t o product functi onal i ty

    After a l l , a product

    coul d be 100

    percent

    func-

    ti onal at

    the

    end

    of

    product i on

    cycl e

    but

    s t i l l

    contai n defects thatmay

    cause the

    customer

    prob-

    l ems

    duri ng

    or

    a f t e r

    the

    warranty

    peri od

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    t hroughput

    y i e l d s

    s e n s i t i v e

    t o bot h t he number of

    CTQs

    and t he

    number of

    process steps

    process compl exi t y)

    True

    val ue

    ent i t l ement

    can

    onl y be r e a l i z e d

    when

    rol l ed

    t hroughput y i e l d i s at i t s ent i t l ement

    val ue

    Gett i ng

    there

    i s what t he

    Br eakt hr ough Strategy i s al l about

    PPLYING

    THEMETR S NORM LIZEDYIELD

    Normal i zed

    y i e l d

    i s

    a si ngl e

    and equi val ent val ue

    that i s assi gned

    t o a s er i es

    of process

    steps

    i nvol ved

    i n

    maki ngaproduct Thi s

    i s used

    t o

    c o l l e c t i v e l y

    charact er i ze al l t he steps i nvol ved

    i n

    manuf act ur i ng

    a

    product

    when

    t he

    t o t a l

    defects

    per

    uni t

    at

    t he

    f i n a l

    step

    i s

    known

    I n

    t h i s sense,

    we say

    that normal i zed

    y i e l d represents

    a ki nd of average

    y i e l d

    val ue per step f or a s er i es

    of process s t e p s and i s used

    t o

    s i gma-

    t i z e

    processes

    and products

    Adopt i ng

    met r i cs such as t hroughput

    y i e l d

    rol l ed t hr oughput y i e l d and normal i zed

    y i e l d hel ps compani es

    measure,

    uncover, and el i m nat e hi dden

    f actori es

    Here

    i s

    how

    normal i zed

    y i e l d

    s

    cal cul at ed

    Si x Si gma

    Bl ack

    Bel t

    f rom

    HumanResour ces

    anal yzi ng a

    part i cul ar process i nvol vi ng

    a form

    He

    knows

    that there

    ar e t en

    steps i nvol ved i n t he

    process

    and

    cal cul at es that

    t he

    rol l ed

    t hroughput y i e l d

    equal

    t o 6

    . 8

    percent

    When

    t he

    team

    wants

    t o

    assi gn

    y i e l d

    val ues

    t o

    each

    of

    t he

    t en

    s t e p s

    one

    member suggest s di vi di ng 6. 8

    percent

    over

    t en steps

    They qui ckl y real i ze

    that thi s not t he correct method t o cal cu

    l a t e t he normal i zed

    y i e l d

    Another member suggest s, i ncorr ectl y,

    that s i nce

    t he

    rol l ed

    throughput y i e l d equal s 6. 8 percent, then

    al l steps shoul dhave t he same

    throughput y i e l d 36 . 8 percent)

    Af t er

    several di scussi ons,

    t he

    Si x

    Si gma

    Bl ack

    Bel t poi nts

    out

    that

    t he normal i zed y i e l d

    i s

    equal

    t o t he kt h

    root

    of t he rol l ed

    t hroughput

    y i e l d

    wherek

    equal s t he

    number of

    process

    steps He

    expl ai ns

    t o

    t he

    team

    hat

    t h i s

    i s

    a

    formof average that represents

    anequal i zed val ue

    appl i cabl e

    t o al l steps of

    t he process

    The

    team

    then cal cul ates the

    th

    root

    of

    . 368

    and

    concl udes that each

    step

    has a normal i zed yi el d equal t o 9 5 percent

    The

    Bl ack

    Bel t

    nowr ecogni zes

    that

    9 5

    percent normal i zed

    y i e l d i s t he

    perfor-

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    THEHDDENF TORY

    89

    mance basel i ne

    f or

    each

    of t he t en

    s t eps t hat

    compr i se t he

    p r o c e s s

    Thi s

    i s

    t r u e

    because . 90510

    =3 6 8 ,

    or

    3

    6 . 8 percent

    Throughput

    y i e l d , r ol l ed

    t hroughput y i e l d , and

    normal i zed

    y i e l d

    have

    i mpor t ant busi ness

    i mpl i cat i ons

    Usi ng

    these

    y i e l d

    measur e-

    ments

    al l ows compani es t o

    much

    more

    accur at el y

    assess t he

    perfor

    mance

    of

    t he i r

    i ndust r i al or commer ci al

    processes

    For many

    compani es ,

    these yi el ds pai nt a surpr i s i ng

    and

    di s t urbi ng pi ct ur e

    Compani es

    who

    cal cul at ed t he i r

    f i n a l

    y i e l d at 9

    percent m ght f i n d

    t hat

    t he i r

    r ol l ed

    t hr oughput

    y i e l d

    i s

    onl y

    percent

    Once

    compani es

    under st and

    t he i r

    true

    y i e l d ,

    t hey

    canbegi n t o s et br eakt hr ough

    t a r g e t s

    and

    t rack

    i mpr ovement s wi t h

    measurements

    that t e l l

    t he

    whol e

    s t o r y

    Cal cul at i ng

    r ol l ed

    t hroughput y i e l d

    wi l l

    f a r more accur at el y ref l ect

    qual i t y ,

    cycl e t i me, and

    cost because

    cal cul at i ons ar e

    done

    at each

    st ep i n

    t he process

    and

    not

    j us t

    at

    t he uni t l e v e l ,

    as i s

    t he

    case wi t h

    f i r s t - t i me

    y i e l d

    As a

    f i n a l

    poi nt

    on

    r ol l ed

    t hr oughput

    y i e l d ,

    we

    need t o take a

    cl oser

    l ook at t hi s met r i c s

    re l at i onshi p

    t o

    cost To

    i l l u s t r a t e ,

    l et s l ook at

    t he

    f ol l owi ng exampl e

    Suppose

    t hat a cer t ai n process di spl ays a

    r o l l e d

    t hr oughput

    y i e l d ( Y r t )

    of

    70 percent

    Tocompute t he number of equi v-

    al ent

    uni t s t hat

    must be started t o

    pr oduce one def ect - f r ee uni t

    ( assum ng

    that

    al l

    defects

    ar e

    r epa i r abl e ) ,

    we

    use

    t h i s

    f or mul a

    1

    - Y r t ) ,

    or , i n

    t h i s c a s e ,

    1 - . 7 0 ) , whi ch

    equal s

    . 30 I n ot her wor ds,

    we

    must

    s t a r t an

    equi val ent

    of

    . 3

    uni t s

    i n t er ms of

    mat er i al and e f f o r t

    i n

    order t o

    send one

    good uni t

    on t o

    t he cus t omer

    I f

    t he

    defects ar e not

    repai r abl e and t he un i t

    must be s cr apped ( owi ng

    t o one or

    more

    of t he def ect t y p e s ) , then

    wewoul d

    use

    t he s l i g h t l y di f f erent

    f or mul a

    of

    /

    . 7 0 ,

    or

    . 43

    I n

    ot her

    wor ds ,

    we

    woul dneed

    . 43 uni t s

    As you

    may

    have guessed, t he hi gher

    t he

    def ect

    r a t e ,

    t he l ower

    t he

    r ol l ed

    t hroughput

    y i e l d , whi ch, i n

    t u r n ,

    decreases

    capaci t y

    As a r e sul t ,

    more

    equi val ent

    uni t s must be created i n order t o

    pr oduce agood uni t

    I f

    everyt hi ng

    i n

    apr ocess goes r i g h t , pr oduct i on t i me

    i s

    kept

    t o

    a

    mnimum

    Thi s

    m ni mal

    or opt i mal product i on t i me i s referred

    t o

    as

    cycl e- t i me ent i t l ement ,

    or t he

    r i ght f u l l ev e l

    of expect at i on,

    whi ch

    we

    abbr evi at e

    as

    Imn

    Weabbr evi at e t he act ual l engt h

    of t i me

    i t takes

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    t o pr oduce t he uni t s as Tact ual

    We

    can

    compute

    t he act ual

    process-

    i ng t i me per uni t s as a c t u a l =

    Imn

    t i mes t he

    r o l l e d t hr oughput

    y i e l d

    I f

    t he opt i mal t i me m n 10 m nut es, t hen t he

    act ual

    t i me i s 10

    X

    . 3 , or 13 m nut es

    Thi s means

    t h a t ,

    on average, a un i t

    requi res 13

    m nut es t o process, versus

    t he

    ent i t l ement t i me of 10 m nut es

    Si nce

    i nvent ory

    i s

    equal

    t o cycl e t i me t i mes process vol ume, i f

    t he

    schedul e

    requi res t hat

    1, 000 uni t s be

    pr oduced

    each day,

    we

    need enough

    resources t o

    pr oduce t he

    equi val ent

    of 1, 300 uni t s aday t o get

    t he

    1, 000

    uni t s weneed

    t o

    meet t he pr oduct i on schedul e

    Thi s

    al l ows us

    t o

    track

    work- i n- pr ocess

    c o s t s

    and

    l abor

    c o s t s ,

    whi ch,

    of

    course,

    r e l a t e di r e c t l y

    t o

    t he

    bo t t om

    l i n e

    ynow

    t

    shoul d be cl ear t hat t here

    no

    way

    t o cal cu-

    l a t e

    t h i s

    ki nd

    of

    rel at i onshi p

    f o r f i r s t - t i me

    y i e l d

    or

    f i n a l y i e l d

    So

    why

    do compani es

    cont i nue t o use

    f i r st - t i me yi el d as a

    basi s f o r

    measur i ng howwel l

    t hei r processes

    work t o

    creat e pr oduct s

    and

    s e r -

    vi ces?

    ecause t

    easy

    t o

    cal cul at e, can be

    cal cul at ed

    usi ng readi l y

    avai l abl e dat a,

    and most compani es

    don t

    recogni ze t he

    di f f erence

    between f i r s t - t i me

    yi el d

    and r o l l e d

    t hr oughput

    y i e l d

    Agai n, we don t

    knowwhat

    - we

    don t know, and

    - we can t

    do anyt hi ng

    about what we don t

    know Si x

    i gma i s about worki ng

    smart er , not necessari l y

    harder Si x

    i gma

    about doi ngwhat i s r i g h t , not

    necessar i l y

    what

    easy

    Are You Ef f i ci ent

    Ef fecti ve?

    Ef f ect i veness f ocuses on resul t s

    Ef f i ci ency

    f ocuses on a c t i v i t y Com

    pani es,

    l i k e

    peopl e, can do

    t he

    wrong t hi ngs wi t h

    great ef f i ci ency

    There s

    a

    smal l

    town

    i n Ar i zonawhere l i f e revol ves around horses

    and

    c a t t l e ,

    and

    not

    much

    happens

    t hat

    t he

    t own s

    sheri f f

    doesn t

    know

    about One

    ni ght

    several

    years ago ,

    t he l ocal s h e r i f f ,

    new

    t o t he town

    and not

    yet f am l i a r

    wi t h al l

    t he s t r e e t s , was

    awakened

    by a c a l l e r

    i nf orm ng

    him

    t hat

    there was

    a dead horse i n t he m ddl e of t he road

    and

    t hat t he horse

    needed t o

    be

    moved ri ght away The s h e r i f f sai d

    he d

    be

    r i gh t ov e r ,

    and asked

    t he

    c a l l e r t o

    g i v e him

    t he

    name of

    t he

    st reet

    The c a l l e r sai d

    t h a t

    t he horse

    was

    l y i n g i n

    t he

    m ddl e

    of

    Man

    zani t a St reet

    Howdo you

    s pe l l that?

    t he

    sheri f f

    asked

    I dunno,

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    UNM SKNGTHEHDDENF TORY

    t he c a l l e r repl i ed

    But I l l

    f i n d

    out

    Ten

    mnutes

    passed

    bef or e t he

    c a l l e r f i n a l l y came

    back on

    t he phone

    and

    s a i d, Sher i f f ,

    coul dn t get

    t he correct

    spel l i ng

    of Manzani ta

    St r eet f or you, so

    donemoved

    t hat

    dead

    hor se

    over

    t o

    Easy

    Street

    That s

    spel l ed

    E A S Y

    Ef f i c i ency

    means t ur ni ng

    t he crank r i ght

    Ef f ect i veness i s t ur ni ng

    t he r i ght

    crank I n

    ot her wor ds,

    youmaybe

    t ur ni ng your cr anks

    f a s t e r

    t han anyone

    e l s e

    i n

    t he

    i ndust r y,

    but

    youneed t o turn the r i ght cranks

    t o be

    e f f e c t i v e

    The

    Br eakt hr ough

    Strategy shows

    compani es how

    o

    be ef f ect i ve

    Mor eover ,

    i t

    has t he

    pot ent i al t o hel p compani es

    r edesi gn

    pr oduct s

    and

    ser vi ces

    so t hat

    no

    cr anks

    need

    t o

    be

    turned

    at

    al l

    because

    there

    ar e no def ect s t o

    f i x

    Vi r t ual l y al l

    execut i ves

    and

    manager s

    can be

    educat ed

    i n t he Si x

    i gma Br eakt hr ough Strategy But t hose

    whohave

    t h i s year s f i nanci al

    bonus or i ncent i ve package

    t i e d

    t o t he

    f i r s t - t i me - y i e l d

    met r i c

    may

    have

    b u i l t - i n

    i ncent i ves

    t o

    cont i nue

    usi ng

    ol d

    methods

    anagement

    needs

    t o

    consi der

    t he ki nds

    of

    act i ons

    they

    are

    r ewar di ng

    or penal i z -

    i ng Rat i onal i z i ng busi ness pr act i ces t hat are f l awed can i mpede t he

    i mpl ement at i on of Si x Si gma,

    and has

    not hi ng t o do w t h what

    w i l l

    best i mpr ove acompany s l ong- t ermper f or mance