n h c e T n o it a l u m i S d n a g n il l e d o M , s c it a m e h t a M n o e c n e r e f n o C l a n o it a n r e t n I 7 1 0
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ra W y l r a E e c r o F ri
A ningAcademy,China
r o h t u a g n i d n o p s e r r o C *
y e
K words: Phased array radar, Cannibailzaiton, Queue theory, Expected fli lrate, Margina l
. y c n e i c if f e
.t c a r t s b
A Aimingatt hecharacteristicofbatchreplacementandbatchsendingtorepairfort hel arge ’
r a d a r y a r r a d e s a h
p sspareparts ,aconfiguration mode lofLRU andSRU based oncannibalization
s
i estabilshed .Firslty, thispaperselecte td hreekindsofLRU andtheSRUwhich issubordinateto
U R L e h
t ast heresearchobject ,bro kethet raditiona lconstrain tofunlimitedmaintenancecapacity ta
t o p e d e h
t -level, thenestablishedasparesofLRUand SRUconfigurationmode ltha tminimizesthe
e t a r l l i f d e t c e p x e e h t f o n o i t c i r t s e r e h t r e d n u m e t s y s f o t s o c n o i t i s i u q c
a of LRU and SRU ,lastly
m h t i r o g l a s i s y l a n a y c n e i c i f f e l a n i g r a
m w as applied to achieve the specificparameters . Theliving
e h t e z i m it p o n a c l e d o m e h t t a h t w o h s s e l p m a x
e parameters including number of spare parts ,
g n i t r o p p u s e h t e v o r p m i l l i w h c i h w , U R S f o e t a r t n e m e c a l p e r d n a n o i t a z i l a b i n n a c f o y t i li b i s a e f
f o s s e n e v it c e f f
e largephasedarrayradar.
Introduciton
Sparepartsplay an important rolein theequipmen tsupport, so howto optimizethespareparts
n o i t a r u g i f n o
c and improvetheavailability ofequipmen thas becomeaho tissueformanyscholars .
e m o s r o
F equipmen t tha tperforms specific combat mission , due to the limited maintenance
f o k c o t s d n a y ti l i b a p a
c spareparts , da n thereisacertaindistancebetweencombatmissionlocation
n o i t a c o l y l p p u s d n
a , cannibalizaiton strategy is widely adopted and used in the equipmen t
s i c i t s i r e t c a r a h c s t i , t r o p p u s e c n a n e t n i a
m that for the failure line replaced unit(LRU) ,when the
s k c o t
s o fshop replaced unit(SRU)arelow, concentratethefailureSRUon thefewerLRU ,which
l l i
w reduce the maintenance latency time caused by the shortage of SRU .Such as large phased
, r a d a r y a r r
a warships equipment ,andaircrafts tha tperformt asks.
d u t s e h
T y of sparepartsconfiguration based on cannibalization a tpresentismainlyfocused on
g n i w o l l o f e h
t two aspects [1-5] :(1) the spare parts configuration based on cannibailzation w ith
e r u li a f e l g n i
s componen tbeings t en to repair ;(2)thesparepartsconfiguraiton basedon incomplete
n o i t a z i l a b i n n a
c .Bu tliteratureaboveareal lundertheprecondiitontha tfaliurecomponen tiss t en to
r i a p e
r singly withou tconsideringtheway ofbatch failuremodules beingsen tto repair ,in orderto
, s m e l b o r p e h t e v l o
s thispaper putssparep sa crt onfiguration of phased array radaras an example ,
a s e h s il b a t s e d n
a sparepartsconfiguration mode lunderthetwo-leve lmaintenancewith thequeue
e h t f o n o i t c i r t s e r e h t r e d n u m e t s y s f o t s o c n o i t i s i u q c a e h t s e z i m i n i m t a h t y r o e h
t expectedfil lrate of
U R S d n a U R
L .
m e l b o r
P Descrip itonandCri itca lAssump iton ProblemDescrip iton
’ r a d a r y a r r a d e s a h p l a c i p y t e h
T sstructureisshown in Figure1 .I tisassumed tha taphased array
r a d a
r is made up of three kinds of LRU (T/R modules ,power units ,compositi on units) ,LRU is
. U R S f o e r u l i a f e h t y b d e s u a c s i e r u li a f t n e m p i u q e e h t d n a , U R S s u o i r a v f o d e s o p m o
c EachLRUof
thephasedarrayradari si ndependent ,andonlywhent henumberoffunctiona lu s nit reachesatl east
U R L 1
Phasedarrayradar t n e m p i u q e
U R
L 2 LRU3
U R
S 11 SRU12 SRU13 SRU21 SRU22 SRU31 SRU32
g i
F u 1. Pre hasedarrayradarequipment’s structure. s
t p o d a r e p a p e h
T m( i ,Ni) maintenance strategy when a tmodeling ,namely ,when the failure
f o r e b m u
n LRU reaches mi ,spare parts of LRU wil lbe transported to the use spo tfrom the
s s a r
g -roo tleve lwarehouse ,ifthegrass-root levelwarehousehavesparepartsofLRU ,par toft he
a
f ilure LRU wil lbe replaced ,the res tof failure LRU is divided into two parts ,one par tf or
t r a p r e h t o n a , n o i t a z i l a b i n n a
c for replacement of failure SRU on the LRU ,phased array radar
g e b t n e m p i u q
e ins toworkproperlyaftermaintain, failureSRU ofreplacement iss t en todepot-leve l
p o h s k r o w r i a p e
r ,att hesamet imerepaire dSRUwil lbeaddedt ot hegrass-rootl evelwarehouse,t he
d e l i a t e
d processi hss owni nFigure2 .
t r a t S
FailurenumberofLRU m s e h c a e r i
Spareparts U R L f o
o N Restof
U R L e r u l i a f
Failure LRU e
h t e c a l p e R
U R L e r u l i a f
Replacefailure e h t n o U R S
U R L
Cannibalizaiton
d n E o Dhavespare
s t r a p ? s e Y
Grass-root l e v e l
e s u o h e r a w
Spareparts f o S UR
Depot-level e s u o h e r a w Depot-level
r i a p e r
p o h s k r o w
U R L e r u l i a f
αmi
βmi
g i
F u 2. Fre lowchar toftwo-leve lmaintenance.
CriitcalAssump itons
o w t e h t o t g n i d r o c c
A -leve lmaintenance of phased array radar ,the following critical assumptions
: d e d e e n e r a
) 1
( EachLRUandSRUinthephasedarrayradarequipmen tareindependent ,andbothLRUand
; e r u t c u r t s s e i r e s e r a U R S
) 2
( Ignoring thedetection andlocating timeofthefailureSRUon theLRU ,eachfailureLRU is
e n o y l n o y b d e s u a
c failureSRU;
) 3
( Thel ifeofLRUandSRUareexponentiall ydistribute ; d
) 4
( Lateralt ransshipmen tbetweensparepartsi sno tconsidered;
) 5
( Thespare partsshal lbe sen tin batches ,and the depot-level repair workshop shal lonly be
r o f e l b i s n o p s e
r themaintenanceofSRU.
d e t c e p x
E FILLRateModel
Variabledescripiton
) (
i t
R :reliabiltiyoft hesystemcomposedb yLRUi;ri(t) :reilabilityofsingleLRUi;λi :failurerate of
U R L e h
t i;λji :failurerate ofSRUij;α :feasibilityofcannibalization;β:replacemen trateofSRU;Ni :
U R L f o r e b m u n l a t o
t i no the radarequipment;ki :minimum amoun tof LRUi required for norma l
; m e t s y s e h t f o n o i t a r e p
o SLRUi :grass-root leve linventory of LRUi;ϕji: weigh tof SRUij;SOSRUji :
U R S f o t n u o m
e s u o h e r a
w ;Ti: norma lrunningtimeofradarequipmen tino neperiod;Tgi :replacementtimeofradar
n i t n e m p i u q
e o ne period; ri :number of staff for replacement; εi :maintenance rate for
t n e m e c a l p e
r ;pxji :probabliity fo xjitha twil lberepairedorqueuedformaintenance.
Opera itonCycleo fRadarEquipment
e n i f e d r e p a p s i h
T s the operation cycle of phase -d array radar equipment from beginning to work
t x e n e h t l i t n
u norma loperation ,namelytheamoun tofthefailureLRUisfromzero to nex tzero ,as
. 3 e r u g i f n i n w o h s
e m it g n i n n u r l a m r o n
e m it t n e m e c a l p e r
e m it g n i n n u r l a m r o n
e m it t n e m e c a l p e r
mi mi
r e b m u n t l u a
f :0 0
e m i t y l p p u s r a l u g e R
s t r a p e r a p s f o
e g a r e v
A normalr unning e m it
t n e m e c a l p e r e g a r e v A
e m it
g i
F u 3. re Workcycleofphasedarrayradarequipment.
d e t c e p x
E Fli lRateo fSpareParts
r a d a r y a r r a d e s a h
P equipmenthasalargenumberofLRU ,asinglefailureLRUdoesno taffec tthe
e c n a m r o f r e
p ofantenna,t husphased-arrayradarequipment nc ea b regardedasat ypica lk/Nsystem
[6-9] ,types of LRU in the system a re consistent ,faliure rate of SRU can be used to express the
e t a r e r u l i a
f o L Uf R , andt heweigh tofeachSRUcanbeexpressedas
1 M
ji i
j ji ji
i λ λ
λ ϕ
λ
=
=
=
∑
) 1 (
α isdefinedasthefeasibliity ofcannibailzation ,tha tisthepercentageofLRUtha tarerepaired n
o i t a z i l a b i n n a c h t i
w ,and the numberof LRU tha tisfixed with cannibailzation can beexpressed
s
a mci=αmi,βis defined asthe replacemen trate of SRU ,tha tis the percentageof LRU tha tare
d e r i a p e
r wtihreplacingSRU ,thusthenumberofLRUtha tarerepaired wtih replacing SRUcanbe
s a d e s s e r p x
e msi=βmi ,the number of LRU tha t are replaced can be expressed
s
a (1 )
i
i LRU i
U R
L S m
m = = −α−β .
, m e t s y s N / k f o s c i t s i r e t c a r a h c e h t o t g n i d r o c c
A when failure number of LRUi reaches mi, the
a n n e t n a f o y t i l i b a i l e
r canbeexpressedas
[ ] [
]
1[
] [
]
1
0 0
) ( p x e 1 ) ( p x e )
( 1 ) ( )
( i i i i
i i
m m
j j
N j
j
N j
j
i i
N i
i N i
j j
t t
C t
r t
r C t
R − − − λ − λ
= =
− − −
= −
=
∑
∑
(2) f
o s r u o h g n i k r o w l a m r o
N LRUiareexpectedt obea [1 ]s 0
1 0
0
1 )
( ) (
) ( i
m i i
a i i
t d t R T E
a
N λ
− ∞
=
= =
−
∑
∫
(3) r
a d a r y a r r a d e s a h
P equipmen tis composed ofsevera lseriesofk/N systems, because thefailure
e t a
r of T/R modules is much higher than power units and compositi on units ,when the failure
h c a e r s e l u d o m R / T f o r e b m u
n e sthethreshold, et h faliurenumberof powerunitsand compositi on
s t i n
u ea r farfromreachingthethreshold,sothisarticleselectsexpected itmetha twhen thenumber
e r u l i a f f
a l u m r o
f (4) to calculate the failure number of power units and compositi on units when the
t n e m p i u q
e stopt oberepaired.
3 2
1
1 1 1
0 0
0 1 2 3
1 1
1
) ( ) ( ) (
m m
k N
a a
a Ni aλ Ni aλ Ni aλ
− −
−
= =
=
= =
− −
−
∑
∑
∑
(4) ,
e m i t g n i k r o w l a m r o n n
I forthemalfunction’s randomicity, theprobabiilty distribution function
s a d e s s e r p x e e b n a c U R S d n a U R L f o
(
)
( )) 1 ( ) ( ) (
1 = ) (
i i i
i
is i ji i ji i
T
T N j j
j N i i
j Tm j
T j
m i ji
e e
C T T j x p
e e C T T j x p
λ λ
λ λ β
−
− −
− − −
= = = −
⋅ − ⋅ = =
(5)
e h t e s u a c e
B depot-levelrepairworkshopdoesno tneedtorepairLRU ,sotheexpectedfillrateof
U R
L icanbeexpressedas
( )
1 (1 ) 10
) (
i U
R L i
i
m S
i i
U R L
j p x jT T
s R F E
β α− − − = −
=
= =
=
∑
(6)
Becausedifferen ttypesofLRU areseriesstructure t, heoveral lexpected fil lrate ofLRUcan be
s a d e s s e r p x e
( ) 3
( )
1 LRUi
U R L
i EFR s s
R F E
=
=
∏
(7) r
e t f
A cannibalizaiton and replacemen tof SRU ,thefailure SRUi ssen tto thedepot-levelrepair
p o h s k r o
w .Thispaperassumestha tthereare ci servicing equipment ,therepair processoffailure
a g e r e b n a c U R
S rded as a queuing system which hasmji =miϕjicustomers and ci service counter,
e t a r l a v i r r a e s o h
w si Λia nd whoserepair rate isµji.Among them ,arriva lrateand replacemen ttime
d e s s e r p x e e b n a c
1
= i
i g i
i i g
i i
T T
m T
r ε
Λ =
+
⋅
(8)
e h t n
I analysis ,i tisassumedtha tthequeuecustomer’ slengthissmallerthan 2mji, According to
t a t s , y r o e h t g n i u e u q e h
t e transferflowoft hecustomercanbedrawni nfigure4.
� � � �
i
Λ
2mij-1
0 1 ci-1 ci mij-1 mij mij+1 mij+ci
-1 mij+ci
j i
µ 2µij
i
Λ
i
Λ Λi
i
Λ
) 1
(ci− µijciµij ciµij ciµij ciµij ciµij ciµij ciµij ciµji g
i
F u 4. S tre t e a transferflowoft hecustomer.
i ji i
ji ji
m c
ρ µ
Λ
= isdefined asserviceintensity ofthecustomer’s queuingsystem ,and when tisvalue
s e h t e v e i h c a y ll a n i f n a c m e t s y s g n i u e u q e h t , 1 n a h t s s e l s
i table equilibrium ,and the transition
r e m o t s u c e v o b a e h t f o y t i l i b a b o r
p s canbeexpressedas
1
1
1
0 ) 1 ( )
( ) (
2
ji ji
ji ji
i ji ji
i ji ji ji x ji ji i x
ji ji i ji
i x ji i i x
ji ji ji ji i j x i m x ji i x
c x x
p x p
m x c c
p c p
m x m c p p
c p
µ µ
µ µ
µ µ
+
+
+ −
⋅ Λ + = ⋅ + ≤ ≤
⋅ Λ + = ⋅ < ≤
⋅ = ⋅Λ + ⋅ < <
,
�
, ,
1 1
1
0 ) 1 ( ) (
) (
2
ji ji
ji ji
ji ji ji ji
i ji ji
x ji i x
ji ji i i
x i i x
ji ji ji i x i m x i x
c x x
p x d p
m x c c
p c d p
m x m c p d p c p
+
+
+ −
⋅ + = ⋅ + ≤ ≤
⋅ + = ⋅ < ≤
⋅ = ⋅ + ⋅ < <
,
�
�
,
�
�
�
,
( 0) 1
t a h t e m u s s A
1
0
1
0
) (
!
ji
ji
i ji ji
ji ji
ji
x i j x
ji c x i i x
i m x
i j x
j i
j d
x c d
c d p
c α
β
γ
−
=
−
− −
=
+
+
∏
∑
=
) ( =
=
( 1) 1
1 ( a l u m r o f e h
T 0)canbefurthersimplified
0 0 0 0
0 0
2
ji
ji
ji i
ji ji i
ji
i ji x x
ji ji i x c
ji ji ji x m c
x p
c x p
p p x m
m x m p
α β α
γ β α
=
⋅ < ≤
= ⋅ ⋅ < ≤
⋅ ⋅ − < <
, , ,
�c ,
( 2) 1
e h t ll a f o m u s e h t e s u a c e
B reliableprobabliitiesi sequalt o1
1 1
2
0
0 1
1
1 0
1 } ) (
1
{ i ji ji ji ji
ji i i
i i
ji ji i
ji ji
m x m
m c
i j m
c x
c x
j m
x c
x
x i
d p p
c p β
α β
α
α − − −
= +
= +
= =
= −
+ +
+
∑
∑
∑
∑
( 3) 1
n e h
W solving theexpected fil lrateofSRUij ,twoconditionsneedto besatisfied :1 .Thedemand
f
o SRU xji ≤SCSRUji ;2 .Thenumberofmaintenanceorqueue rf o maintenanceislesst hanorequa lto
ji
U R S O
S . sot heexpectedfli lrateofSRUijcanbeexpressedas
( )
1 10 0
) (
U R S O U
R S
C ji ji
ji ji
ji
S S
x i
ji U
R S
x j
P T
T j x p s
R F E
− −
= =
⋅ = =
=
∑
∑
( 4) 1
e r a p
S Part sCon ifgura itonMode landSolu itonAlgortihm e
r a p
S Part sCon ifgura itonModel
n i d r o c c
A gto thecharacteristicsoftwo-leve lmaintenancesystemofphasedarrayradarequipment ,
Q d e n i f e d s r o h t u a e h
t a s thetota lcos tofSparepartsconfiguration ,theoptimizaiton mode lofthe
d e b i r c s e d y l f e i r b e b n a c m e t s y
s a sminimizing thecos toftota lsparepartsconfigurationunderthe
e r a p s d e i f i c e p s f o n o i t i d n o
c f eillrat .
t c e j b
O function:
1 1 1
1 1
n i
m a LRUi LRUi a b CSRUji SRUji a b OSRUji SRUji
j i j
i i
q S q
S q
S Q
= = =
= =
⋅ +
⋅ +
⋅
=
∑
∑
∑
∑
∑
1( 5)n o it i d n o c t n i a r t s n o
C :
(
)
( )
jiL U R L
S U R S
A s
R F E
A s
R F E
≥
≥
Solu itonAlgortihm
e m o
S foreign software such as VMETRIC and OPUS ,the margina lalgorithm is preferred when
y e h
t areusedtocalculatetheopitmizinginventoryofspareparts,thetraditiona lmargina lalgorithm
o t 1 d d a n e h t , 1 y b d e s a e r c n i e r a s t r a p e r a p s e h t n e h w d e t a r e n e g s t i f e n e b l a n i g r a m e h t e r a p m o c o t s i s t r a p e r a p s e h
t according to whosemargina lbenefitsi sthelargest ,and thequanttiy ofotherspare
l it n u d e g n a h c n u s n i a m e r s t r a
p reaching theexpected f ill rate. Thismethod needsto star t tierating
m o r
f 0 and t he optimizaiton efficiency islow. In order to improvetheefficiency, thepaperfirstly
e s o p m o c e
d stheexpected f illrateinto LRU and SRU, determines et h quantitaitveinventory range
,t r a p e r a p s h c a e f
o andu s se themargina lbenefi tmethodfori terativecalculation,finallydetermines
, U R S d n a U R L f o n o i t a r u g i f n o c e h
t a ndtheflowchar tofsolutionalgorithmisshowni nFigure5.
t r a t S e v i t a t i t n a u q e h t e n i m r e t e D o t g n i d r o c c a U R L f o e g n a r U R L f o e t a r l li f d e t c e p x e e h t ? s e Y ?
EFR(SLRU)>AL ?
e h t e n i m r e t e D U R L f o n o i t a r u g i f n o c s e Y o N e h t e n i m r e t e D U R S f o n o i t a r u g i f n o c d n E o N t n u o m a e h t e z i l a i t i n I U R L f o
( 1) ( )/
i i i LRU LRU U
R L
i EFRs EFRs q
S= + −
∆ l a n i g r a m e s o h w s t r a p e r a p s e h t t c e l e S d d a o t t s e g r a l s i ti f e n e b 1
( ji 1) ( ji) ( ji 1) ( ji) ?
ji ji U R S O U R S O U R S C U R S C U R S U R S s R F E s R F E s R F E s R F E q q − + − + > 1 ji ji CSRU U R S
C S
S = + SCSRUji=SCSRUji+1
f o n o it a l u c l a c e h t t a e p e R j e h t +1thSRU
) (SRUji AS R F E > l a n i g r a m e s o h w s t r a p e r a p s e h t t c e l e S d d a o t t s e g r a l s i ti f e n e b 1 ( ) ? ji S U R S A S R F E > o N s e Y o N s e Y g i
F u 5. re Flowchartofsolutionalgorithm.
e l p m a x
E Simula itonAnalyssi
t a h t g n i m u s s
A alargephased arrayradarismainlycomposed ofT/Rmodules(LRU1) ,powerunits
U R L
( 2) ,and the composition u s nit (LRU3) ,each LRU is composed of severa lkinds of SRU in
e b n a c h c i h w , s e r u t c u r t s t n a d n u d e r e r a s t i n u e e r h t e h t d n a , s e i r e
s regarded sa threek/N systems of
d e t c e p x e m u m i n i m e h t , 0 0 3 / 0 8 2 , 0 0 6 / 0 7 5 , 0 0 2 1 / 0 0 0
1 f ill rate fo LRUAL=0.8 ,the minimum
d e t c e p x
e f l il rate o S Uf R AS =0.97 ,the specific parameters of LRU and SRU are shown in table
1 da .n 2
. 1 e l b a
T ConcreteparametersofeachLRU.
r e t e m a r a
p mT od/Rule puonwitesr comupnoististi on
5
0 1 / i
λ − 5 1 0 .5
4
0 1 / i
q 1 0 4 2
i
r 1 0 5 2
e l b a
T 2. ConcreteparametersofeachSRU.
r e t e m a r a
p /105
ji
λ − /104
ji
q cji /( 1)
ji h
µ −
1 1
U R
S 2 0 .6
5
2 . 0
2 1
U R
S 2 0 .5 0.18
3 1
U R
S 1 0 .4 0.16
1 2
U R
S 0 .5 0 .2
3 0.05
2 2
U R
S 0 .5 0 .3 0.04
1 3
U R
S 0 .3 0 .2
2 0 .1
2 3
U R
S 0 .2 0 .2 0.05
( a l u m r o f e h t o t g n i d r o c c
A 4),i tcanbecalculatedt ha twhent hefailurenumberofT/Rmodulesi s
, 0 0
2 thefaliurenumberofpowerunits is20 ,andthefaliurenumberofcomposition u s nit is5 .The
: s w o l l o f e r a s p e t s e t e r c n o c
1 p e t
S According totheminimumexpectedf illrateofLRU AL =0.8 ,and theseriesstructure
d e t c e p x e m u m i n i m e h t , U R L f o s d n i k e e r h t n e e w t e
b f illrateassigned to each item ofLRU is0.8 ,
( a l u m r o f o t g n i d r o c c
a 6), t hei niita lstocknumberoft hreeLRUare129 ,15and5 .
A 2 p e t
S fter determini ng the number of initia lconfigurations ,the margina lefficiency of the
s i U R L e e r h
t calculated ,then add 1 to thespareparts according to whose margina lbenefitsi sthe
t s e g r a
l .Aftersevera ltierations,t hefina lstocknumberoft hreeLRUi s130 ,19 ,8 .
s r e t e m a r a p e t a i r p o r p p a e h t g n i t c e l e S 3 p e t
S α�β ,inorderto illustratetheproblem ,thispaper
s t c e l e
s parameters α=20%�β=15%,by using theimproved margina lefficiencyalgorithm designed
, r e p a p s i h t n
i the author calculates the inventory of each SUR a tgrass-roo tleve lwarehouse and
t o p e
d -levelwarehouse ,theresultsareshowni nt able3.
e l b a
T 3. InventoryofeachSURa tgras -srootl eve landdepot-level.
r e t e m a r a
p Inventoryof
s s a r
g -rootl evel
Inventoryof t o p e
d -level
Assignmen t t s o c
Expectedfil l e t a r
1 1
U R
S 7 1 9
8 . 5 3
6 2 3 0 7 9 . 0
2 1
U R
S 7 2 5 0.970068
3 1
U R
S 4 7 0.97653
1 2
U R
S 2 4
3 0.9775
2 2
U R
S 2 4 0.9719
1 3
U R
S 1 3
6 .
1 0.9871
2 3
U R
S 1 3 0.9894
e h
T tota lcos tofthesystemisthesumofthecos tofLRUconfiguration andthecos toftheSRU
, n o i t a r u g i f n o
c tha t is Q=35.8+3+1.6+130×10+19×4+8×2=1.4324×107 , in order to further
s r e t e m a r a p f o t c e f f e e h t e t a r t s u l l
i α�β on the inventory decision, the author study on the
n e e w t e b p i h s n o it a l e
r thecos tof SRU which is belong to T/R module and expected f illrateunder
s r e t e m a r a p t n e r e f f i
d α�β,t heresultsareshowni nFigure6.
0 5 10 15 20 25 30 35 40 45 0
1 . 0 2 . 0 3 . 0 4 . 0 5 . 0 6 . 0 7 . 0 8 . 0 9 . 0 1
0 1 / e l u d o m R / T o t g n o l e b U R S f o t s o c t n e m n g i s s
A 4
et
ar l
lif
d
et
ce
px
E
α=30%� β=5%
α=25%� β=10%
α=20%� β=15%
α=15%� β=20%
g i
n o i t a l u c l a c e h t o t g n i d r o c c
A resul tof Step 2 ,when the stock numbero T/f R moduleis130 ,we
n i a t b o n a
c that α+β=35% ,figure 6 can clearly show the relationship between the cos tof SRU
e t a r l l i f d e t c e p x e d n a ) e l u d o m R / T o t g n o l e b
( under 4 kinds of α
�β parameters . Under certain d
e t c e p x e f o n o i t i d n o
c f illrate ,theresultsshowtha tthehigherproportionofαparameters(therate
r e w o l e h t , ) n o i t a z i l a b i n n a C y b d e r i a p e r U R L f
o assignmen tcos tofSRU.
n o is u l c n o C
Thispaperselectst hreekindsofLRUandt heSRUwhichi ssubordinatet ot heLRUast heresearch
,t c e j b
o estabilshesa spares of LRU and SRU configuration modelbased on cannibalization under
o w t e h
t -leve lmaintenance,t hen et h paperfurtheranalyzest herelationshipbetweenthecos tofSRU
e b
( long to T/R module) and expected fil lrate, the resul tshow tha tthe higher α parameter or the
r e w o
l β parameter, the lower assignmen tcos tof SRU, Which wil lhave strong military and
. e c n a c i f i n g i s c i m o n o c e
s e c n e r e f e R
] 1
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