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8/10/2019 Hidden Factory- Harry - Text
1/13
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
THE
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
HDDENF TORY
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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UNM SKNG
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