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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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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

(2)

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

(3)

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

(4)

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 ) 1

0

) (

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 + < <



,



, ,

(5)

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 xjiSCSRUji ;2 .Thenumberofmaintenanceorqueue rf o maintenanceislesst hanorequa lto

ji

U R S O

S . sot heexpectedfli lrateofSRUijcanbeexpressedas

( )

1 1

0 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 :

(

)

( )

ji

L U R L

S U R S

A s

R F E

A s

R F E

≥ 

(6)

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

(7)

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

(8)

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

[ Nuno de Oilveira, A.A. Ghobbar. Cannibalization :Ho ow t Measure a snd i t effect ni et h

y r o t n e v n

i cos t[C]. 27thC no gressoftheInternationa lCouncil of theAeronautica lSciences, 02 10

1

: - .1 1

] 2

[ L ui R -en yang ,Li Hu La , i Q gi -n min ,Xu Li .Evaluation of availability for partia lrepairable

s e r a p s l a it n e n o p x

e with cannibalization[J] .SystemsEngineering- Theory&Practice, 02 16, 36( 7):

1 78 -1 25 8 . 6

] 3

[ ZhouLiang ,LiQing-min ,Pe ngYing-w Li u, H . ua AvailabiiltyevaluationmodelingforK/N(G)

m e t s y s e r u t c u r t

s w ith cannibalizaiton [J] .Acta Aeronautics e tAstronautics Sinica, 02 71 , 38(4 :)

1-10. ] 4

[ B oa Ji-kai ,Lu o Chang-yuan ,Zh ou D -ao shui ,Li J ni ga .Equipment avaliabiltiy analysis and

n o it a z i l a b i n n a c n o d e s a b n o i t a z i m i t p o t c e j o r

p [ J]. Journa lofComputer Applications, 02 41 , 34(4 :)

1 0 2

1 -1208.

] 5

[ Torres S.M. , Adams R. , Curtis C. .D Adapitve-weather-surveillance and mulitfunction

capabiltiies of the national weather radar t tese pd hased array radar [ J]. Proceedings of the IEEE,

0

2 61 , 41 (3): 00 6 -6 671.

] 6

[ Sh iNuan-nuan ,L iMing ,Deng Ye .Experimenta ldemonstration of a multi-targe tdeteciton

X n a g n i s u e u q i n h c e

t -band opticallysteered phased array radar[ J]. OpticsExpress, 02 61 , 42 ( 31 ):

8 3 4 4

1 -14450.

] 7

[ TalisaS.H. ,O'haver K.W .Benefitsofdigita lphasedarrayradars .[ J] ProceedingsoftheIEEE,

0

2 61 , 41 (3): 00 5 -3 543.

] 8

[ BorowskaL. ,Zhang G.F., Z crni D.S .Spectra lprocessingforstepscanningphased-arrayradars

. ] J

[ IEEETransactionsonGeoscienceandRemoteSensing, 02 61 , 45 (8): 4534-4543.

] 9

[ YeXing-wei ,ZhangFang-zheng .Compac topticalt ruet imedelaybeamformerfora2Dphased

s t n e m e l e e v i s r e p s i d e l b a n u t g n i s u a n n e t n a y a r r

a .[ J] OpticsLetters, 02 61 , 14 ( 71 ): 3956-3959.

] 0 1

[ Ai B -ao li , Wu Chang . Operationa l availabiltiy mode l for k/N system under two grade

y c i l o p t r o p p u s e c n a n e t n i a

References

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