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    Chapter 6: Supply ChainManagement (SCM)

    IE 3265 – POM

    R. R. in!e"e#M$%MIE

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     &'pi *'r $iui'n: $e+ning the iue ', SCM Ma-'r Player

    '/ /e an /'r" in thi ne/ m'!el 0en!er relati'nhip $ata Management

    Ma-'r Iue: 1ull/hip eet  &ranp'rtati'n pr'lem 'ati'n iue

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    4hat i SCM Supply Chain management !eal /ith the 'ntr'l ',

    material7 in,'rmati'n7 an! +nanial 8'/ in a net/'r"'niting ', upplier7 manu,aturer7 !itriut'r7 an!ut'mer9 (Stan,'r! Supply Chain *'rum 4eite)

    Call it !itriuti'n 'r l'giti 'r upply hainmanagement... In in!utry a,ter in!utry . . . eeuti;eha;e plu"e! thi 'ne !imal !iipline ' the l'a!ing

    !'" an! plae! it near the t'p ', the 'rp'rateagen!a. ar!%pree! t' "n'" 'ut 'mpetit'r 'n

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    @r'/ing Interet in SCM – 4hy A manu,aturing e'me m're

    eBient ('r i 'ut'ure!)7 'mpaniel''" ,'r /ay t' re!ue 't

    Se;eral igni+ant ue t'rie: EBient SCM at 4almart7 P7 $ell C'mputer

    SCM 'ni!er the r'a!7 integrate!7;ie/ ', material management ,r'm

    purhaing thr'ugh !itriuti'n  &he huge gr'/th ', interet in the /e

    ha pa/ne! /e%ae! m'!el ,'rupply hain: ,r'm !'t 'm9 retailer

    t' 1%2%1 uine m'!el

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    Ma Cut'miati'n:$eigning *inal Ch'ie int' Supply

    Chain Se;eral 'mpanie ha;e een ale t'

    ut 't an! impr';e er;ie y

    p'tp'ning the +nal 'n+gurati'n ', thepr'!ut until the latet p'ile p'int inthe upply hain. Eample: e/lett Pa"ar! printer 'n+gurati'n

    P'tp'nement ', +nal pr'gramming ',emi'n!ut'r !e;ie – all r'utine l'a!e!7'nly ertain 'ne ati;ate!

    Aemle t' 'r!er rather than aemle t't'" ($ell C'mputer)

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    $eign *'r 'giti: Many +rm n'/ 'ni!er SCM iue in

    the !eign phae ', pr'!ut !e;el'pment

    One eample i IDEA /h'e ,urniture'me in imple t' aemle "it thatall'/ them t' t're the ,urniture in theame /areh'ue%li"e l'ati'n /herethey are !iplaye! an! 'l!

    Shipping 'ntainer !eign ,'r *e!E an!#PS – air,reight $unnage 'ntr'l in 1ig Aut'

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    EBient $eign ', the Supplier

    1ae

    Part ', treamlining the upply hain ire!uing the numer an! ;ariety ',

    upplier  &he apanee ha;e een ;ery ue,ul in

    thi arena (theyFre an Ilan! – ' gettingmaterial there ha al/ay een a pr'lem)

    In the mi! =>GHF er' trimme! itnumer ', upplier ,r'm 57HHH t' ?HH.

    O;erea upplier /ere h'en ae! 'n 't 'al upplier /ere h'en ae! 'n !eli;ery

    pee!

    In =>>67 *'r! M't'r re!ue! their upplier

    'unt y m're than 6HJ

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    $ell $eign the #ltimate SupplyChainK

    $ell C'mputer ha een 'ne ', them't ue,ul PC retailer. 4hy &'

    'l;e the pr'lem ', in;ent'rye'ming ''lete7 $ellF 'luti'n: $'nFt "eep any in;ent'ryK % All PCF are

    ma!e t' 'r!er an! part hippe! !iretly,r'm manu,aturer /hen p'ile.

    C'mpare t' the eperiene ', C'mpa<C'rp'rati'n – initial ue ellingthr'ugh l'/ 't retail /areh'ue utthey !i! n't garner /e%ae! ale

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    $ata Ehange – A Critial I!ea E$I: Eletr'ni $ata Interhange In;'l;e the &ranmii'n ',

    !'ument eletr'nially in apre!etermine! ,'rmat ,r'm 'mpanyt' 'mpany. (L't /e ae!.)

     &he ,'rmat are 'mple an!

    epeni;e. It appear t' e 'n the!eline a /e%ae! ytem gr'/.

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    $ata an! Pr'!ut – E%

     &ailing E-tailing: $iret t' ut'mer ale 'n the

    /e – the '%alle! Cli" M'rt'r retailm'!el Perhap et "n'/n e%tailer i Ama'n.'m7

    'riginally a /e%ae! !i'unt ''" eller  &'!ay7 Ama'n.'m ell a /i!e range ',

    pr'!ut (/e an thin" ', many7 many imilar'rganiati'n)

    Ama'n an! 'ther pa/ne! ' alle! !'t'm9 t'" epl'i'n in the LAS$AN (=>>t' April7 2HHH)

     &'!ay7 many tra!iti'nal ri" an! m'rtar9retailer al' 'er ale ';er the /e7 ',ten

    at l'/er prie

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    $ealing /ith $ata – the m'!ern

    /ay B2B (business to business) upply hain

    management:

    4hile n't a ;iile an! ey9 a E%tailing7 itappear that 121 upply hain managementi the true gr'/th in!utryK

    4e earhe yiel! ';er GH mathe ,'rupply hain ',t/are pr';i!er. S'me ', thema-'r player in thi mar"et egment inlu!e:  Agile Software ae! in Sili'n 0alley.  i2 Technologies ae! in $alla.   Ariba ae! in Sili'n 0alley

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    $ata &ran,er in Supply Chain:0en!'r Manage! In;ent'ry (the real

    'luti'n) 4almart an! P @  &arget an! PepiC'"e

    1ut Q 1arilla SpA. An Italian pata pr'!uerpi'neere! the ue ', 0MI (0en!'r Manage!In;ent'ry)

     &hey 'taine! ale !ata !iretly ,r'm!itriut'r an! !ei!e 'n !eli;ery ie ae!

    'n that in,'rmati'n  &hi i in 'pp'iti'n t' all'/ing !itriut'r ('r

    e;en retailer) t' in!epen!ently !ei!e 'n'r!er ieK

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    Or!er @r'/th – &he 1ull/hip

    Eet – An Imp'rtant iue

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    In,'rmati'n &ran,er in SupplyChain: aue ', &he 1ull/hip

    EetF *irt n'tie! y P@ eeuti;e eamining

    the 'r!er pattern ,'r Pamper !ip'ale!iaper.

     &hey n'tie! that 'r!er ;ariati'ninreae! !ramatially a 'ne m';e! ,r'mretailer t' !itriut'r t' the ,at'ry.

     &he aue are n't 'mpletely un!ert''!

    ut ha;e t' !' /ith athing ', 'r!er an!uil!ing in a,ety t'" at eah le;el Pr'lem: inreae the !iBulty ',

    planning at the ,at'ry le;el

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     &here ha een a Re;italiati'n inthe Analytial &''l nee!e! t'

    Supp'rt SCM In;ent'ry management an! !eman!

    ,'reating m'!el uh a th'e !iue!

    in thi 'ure  &he tranp'rtati'n pr'lem an! m're

    general net/'r" ,'rmulati'n ,'r !eriing8'/ ', g''! in a 'mple ytem

    Analytial meth'! ,'r !etermining !eli;eryr'ute ,'r pr'!ut !itriuti'n – 'ptimall'ati'n ', ne/ re'ure

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    *'uing 'n the $itriuti'n

    Pr'lem: &he @'al i t' re!ue t'tal

    tranp'rtati'n 't thr'ugh'ut

    the upply hain #ually 'l;e! /ith 'me appr'ah

    t' the &ranp'rtati'n Pr'lem9

    Our appr'ah /ill e the 1alane!Matri m'!el

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    et !' 'ne7 y eample:

      &'

    *r'mAlu

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    In the &ranp'rtati'nPr'lem:

    4e mut ha;e a Supply$eman!alane t' 'l;e In thi pr'lem that re

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     &he &ranp'rtati'npr'lem:

    @'al i t' minimie the t'tal 't ', hipping

    4e /ill all'ate pr'!ut t' ell – any

    all'ati'n mean the r'/ re'ure /ill hippr'!ut t' the 'lumn !eman!

     &he pr'e i an iterati;e 'ne that re

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    Starting /ith a 0AMS'luti'n tehni

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    Phae = ', 0AM:

    Step A 1 C PLr= PLr2 PLr3

    $M T5

    =HH

    T? T3 = %'ut %% %%

    E TG T?2HH

    T3

    =HH= = 5 %'ut

    * T>2HH

    T T5

    =HH2 2 ?

    PL= 3 H H

    PL2 = 3 'ut 2

    = %% 2

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    C'ting &he m'!el:

    Current: =HHV5 W 2HHV> W2HHV? W =HHV3 W =HHV5 X

    T3>HH

    1e,'re pr'ee!ing7 he" i, the *eaile'luti'n i ('r inFt) !egenerate: Lumer ', all'ati'n mut e at leat: m Wn % =

    X 3 W 3 % = X 5 (/e ha;e 5 i the a';e et 'the 'luti'n i n't !egenerateK See net li!e i,

    it /a) L'/7 /e mut !etermine i, itF 'ptimal 4e mut 'ntinue t' a e'n! phae t'

    !etermine thiK

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    $ealing /ith $egeneray (/hen iti ,'un!)

    4e mut all'ate a ;ery mall am'unt ', materialm';ement (all it ε) t' any in!epen!ent ell

    An in!epen!ent ell i any 'ne /here /e can not  'mplete a tepping m'ti'n9 ', 'nly h'ri'ntal an!;ertial m';ement thr'ugh +lle! ell t' return t'the 'riginating ell  4e all thi the θ%path. (thi /'ul! e !'ne y alternating a!!ing

    'r utrating aignment ', material t' any +lle! ell /e tep 'n) L'te any ell /ere a path an e uil! i a !epen!ent ell

    4e /'ul! a!! uBient εF t' reah all'ate! ell'unt ', m W n – = numer (ma"e the 'luti'n n'n%!egenerate)

    ere ine R=C= i in!epen!ent – he" ,'r y'urel, –/e /ill +ll it /ith ε unit – thi ma"e 'ur 'luti'nn'n%!egenerate – 5 ell are all'ate!K

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    Entering Phae II:$etermining Optimality

    4e /ill epl're the MO$I (m'!i+e!!itriuti'n) alg'rithm

    A,ter +n!ing a n'n%!egenerate initial'luti'n7 a!! a r'/ ', D  -F an! a 'lumn', RiF t' the Matri

     &' egin7 Aign a er' ;alue t' any R 'rD p'iti'n

    *'r eah all'ate! ell7 the ,'ll'/ingeprei'n mut e ati+e!: Ri W D  - W i7- X H

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    Starting MO$I /ith ap'ile RD all'ati'n:

      D  -

    Ri

    A 1 C

    %5 %2 %=

    $M

    H

    T5

    =HH

    T?W2

    T3 W2 =HH

    E%2

    TG W=

     

    T?

      2HH

    T3

    =HH

    3HH

    *%?

    T>

    2HH

    T W=

     

    T5

    =HH

    3HH

    In!iat'r 't ,'r

    thi ell (XRWDW)

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    MO$I 'ntinue!:

    Eamine all in!iat'r ;alue ,'r empty ell – i,all are n'n%negati;e the 'luti'n i 'ptimal

    I, 'me are negati;e then !e;el'p a θ%path

    eginning at m't negati;e ell (here i R3C3) C'mplete the θ%path y tepping 'nly t' +lle!

    ell (an! pi;'ting) /hile alternati;elyutrating then a!!ing θ all'ati'n

    A,ter 'mpleting the path7 !etermine the %θ9ell /ith the mallet

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    *'rming the θ%Path (tart in R2C3)

      D  -

    Ri

    A 1 C

    %5 %? %3

    $M

    H

    T5

     

    T? %θ

    =HH

    T3

    In!: H

    =HH

    E

    H

    TG

    In!: W3

    T?

      =HH

    T3 %θ

    2HH

    3HH

    *%

    T> %θ T%

    T5 3HH

    Smallet %θ9 All'ate!am'unt

    – i, /e ha! err'ne'uly all'ate! a een el'/ an!

    re

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    A,ter =HH unit re%all'ati'n – n'/re'mpute RF an! DF

    In!iat'r  D  -

    Ri

    A 1 C

    Cap.

    %? %= H

    $M

    %=

    T5

     

    εW=HH

    T?W2

    T3W2

    =HH

    E%3

    TG W=

     

    T?

    2HH

    T3

    =HH

    3HH

    *

    %5

    T>

    2HH

    TW=

    T5

    =HH

    3HH

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    ''"ing at thi Matri

    All in!iat'r are n'/ p'iti;e – thiin!iate an 'ptimal 'luti'nK

    L'te thi agree /ith 'ptimal 'luti'n ,'un!earlierKKK

    Rela ε ;alue t' er' – ma"e ell =7=all'ati'n =HH unit

    Optimal tranp'rtati'n 't i: 5V=HH W ?V2HH W 3V=HH W >V2HH W 5V=HH X

    3>HH

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    et try 'ne:

    &'

    *r$ E * @ Cap.

    A G 6 ? 2 ?

    1=H 6 6 2

    3

    C? 2 3 G

    6

    $eman! 3 3 3 ?=3

    =3

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    1ut the &ranp'rtati'nPr'lem an e 'l;e! yPK $e+ne an

    O-eti;e

    *unti'n:

    Su-et t':

    ( )1 1

    :

     is cell cost and is amount moved

    m n

    ij iji j

    ij ij

    c X 

    where

    c X 

    = =  ∗∑ ∑

    1

    1

    i

     j

     for 1 i m

     for 1 j nwhere:

    a are all shipment from a source (capacity)

     b are all shipments into a "sink" (Demand)

    n

    ij i j

    m

    ij ji

     X a

     X b

    =

    =

    = ≤ ≤

    = ≤ ≤

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    Our Eample (y PS'l;er)

    Variables XDM-A XDM-B XDM-C XE-A XE-B XE-C XFL-A XFL-B XFL-C

    Values: 0 0 0 0 0 0 0 0 0

    0VC 0 0 0 0 0 0 0 0 0 OBJ.Fn.

    Costs: 5 4 3 4 3 ! " 5 0

    Ca#C$ $ $ $ 0 $00

    Ca#C% $ $ $ 0 300

    Ca#C3 $ $ $ 0 300

    De&C$ $ $ $ 0 300

    De&C% $ $ $ 0 %00

    De&C3 $ $ $ 0 %00

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    Applying S'l;er:

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    Eamining Reult:

    Optimal 0alue X T3>HH (a /e,'un! y han!FK)

    Ship: =HH $M%AU 2HH *%AU 2HH E%1U=HH E%CU =HH *%C

    All a /e ,'un! uing the 0AM

    euriti Muh *ater an! eaier uing PK

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    Epani'n t' &ranhipmentPr'lem

    4hen a ytem i all'/e! t' ueinterme!iate /areh'uingF ite – theyare S'ure ite 'r e;en Sin" ite in

    regular tranp'rtati'n pr'lem – ,'rre!uing the t'tal 't ', tranp'rtati'n/e all the pr'lem the tranhipmentnet/'r" pr'lem

    4e re

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    Epani'n t' &ranhipmentPr'lem

    In the general &ranhipment pr'lem the tranp'rtnet/'r" i epan!e! t' all'/ m';ement et/een

    'ure an! et/een in" (an! e;en a" t' 'ther'ure)

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    Epani'n t' &ranhipmentPr'lem

    Etrate! ,r'm: . P. Ignii'7LinearProgramming inSingle- Multi!le-

    "b#ecti$eS%stems7Prentie all=>G2 &he 'riginal

    tranp'rtati'n pr'lem

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    An'ther e;el ', &ranp'rt – the!eli;ery r'ute pr'lem

     &hi pr'lem i uually 'ne ', ;ery large ale(laially alle! the &ra;eling Saleman Pr'lem)

    1eaue ', thi7 /e typially an n't +n! an

    a'lutely 'ptimal 'luti'n ut rather 'nly near'ptimal 'luti'n – a een in 'ur tet''" ere7 the "n'/n are the 't ', tra;el ,r'm p'int t'

    p'int thr'ugh'ut the net/'r" an! /e try t' a;e 't yganging up9 trip

    S'luti'n typially ,'ll'/ al'ng a line ', atta"ae! 'n the Aignment Pr'lem9

    See an!'ut7 ,'u 'n the Sh'rtet R'ute Pr'lem

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    $eli;ery Optimiati'n:

    Realitially7 a !eli;ery ;ehile an'nly arry ' muh – ' thi mayre!ue eeti;ene ', 'luti'n

    $eli;eryF ta"e Real &ime – againthi mut e 'ni!ere! !uringhe!uling an! r'uting

    'a!ing ', ;ehile i ;ery ritialt' 'ntr'l tep 2 time – l'a! inre;ere !eli;ery 'r!erK

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    ''"ing at the 'ating ', Le/*ailitie:

    C'ni!erati'n: a'r Climate &ranp'rtati'n iue:

    Pr'imity t' mar"et Pr'imity t' upplier re'ure Pr'imity t' parent 'mpany (haring

    epertie7 purhaing7 !r'p r'uting) –'ul! e plu 'r minuK

    Nuality ', tranp'rtati'n ytem

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    ''"ing at the 'ating ', Le/*ailitie:

    C'ni!erati'n7 'nt. C't t' 'perate (utilitie7 tae7 real

    etate 't7 'ntruti'n) Epani'n 'ni!erati'n R''m a;ailale ,'r gr'/th C'ntruti'n t' m'!i,y truture

    Any l'al inenti;e t' re%l'ate Nuality ', i,e (h''l7 rereati'nal

    p'iilitie7 health are – 't7a;ailaility)

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    ''"ing at the 'ating ', Le/*ailitie:

    M't 'rganiati'n 'mpare e;eral alternati;e  &hey i!enti,y /eighting ,at'r ,'r the

    harateriti then narr'/ h'ie =t 'ni!er regi'n 2n! narr'/ earh t' 'mmunitie 3r! 'ni!er pei+ ite $'ne y 'lleting !ata a!!reing the ;ari'u ,at'r

    un!er tu!y

    A,ter !ata i 'llete! an! /eighte!7 ma"eeleti'n (typially y tarting /ith

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    'ati'n $eii'n in SCM:

    In the +nal analyi the !eii'ntypially 'me !'/n t' a Center ',

    @ra;ity S'luti'n9 that minimie thet'tal tra;el !itane et/een the*aility an! all p'ile C'ntat,ailitie

    C'ntat ,ailitie may e 'ure ', Ra/Material 'r 'ther Supplier 'r they maye !etinati'n ,'r Pr'!ut t're! in 'rma!e at the ne/ ,aility un!er !eign

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    et C'ni!er an Eample:

    (/here h'ul! /e put'ur ne/ $itriuti'nCenter)

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    @i;en thi in,'rmati'n:

    St're'ati'n(7Y)

    C. Sale

    A (2.57 2.5) 51 (2.57 ?.5) 2

    Ca (5.57 ?.5) =H

    $ (57 2)

    E (G7 5) =H

    * (7 2) 2H

    @ (>7 3.5) =?a

     Site ', P'ile $C =U

     Site ', P'ile $C 2

    l i i ,

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    S'luti'n i a &ype ', &ranp'rtati'n Minimiati'n:#ing Either Euli!ian 'r Reta%linear 'et

    Euli!ean $itane:

    Reta%inear (R) $itane:

    ( ) ( )2 2

    : Xs or !s are map coordinates

    of stores or Distribution enter 

     j jeuclid i DC i DC  d X X Y Y  

    here

    = − + −

     j j RL i DC i DC 

    d X X Y Y  = − + −

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    L'/ 4hat

    1et 'ati'n i the 'ne that minimiethe um ', the t'tal nee! ', all

    $eman! time the tra;el !itanein;'l;e!:

    ( ) i

     for all #inks

    and each possible new #ource

     ji euclid  

    all 

     D d ∗∑

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    ea!ing t' thi analyi:

    $C = 5.5 ?.5

    $C 2 2

    S&ORE 'ati'n Y 'ati'n $ Euli! = $ Euli! 2 $ R = $ R 2 $eman! $V$E = $V$E 2 $V$rl = $V$rl 2

    A 2.5 2.5 3.6H555= ?.526>3 5 5 5 =G.H26 22.63G?6 25 25

    1 2.5 ?.5 3 5.=?G=5 3 2 6 =H.2>563 6 =?

    C 5.5 ?.5 H 2.>=5?6 H ? =H H 2>.=5?6 H ?H

    $ 5 2 2.5?>5= 2 3 2 =.G?65 =? 2= =?

    E G 5 2.5?>5= 3.=622G 3 ? =H 25.?>5= 3=.622G 3H ?H

    * 2 2.>=5?6 H ? H 2H 5G.3H>52 H GH H

    @ > 3.5 3.6?HH55 2.5 ?.5 3.5 =? 5H.>6H 35 63 ?>

    =6.63> =?2.== 225 =G2

    *r'm the Analyi: $C 2 minimie

    't

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    1ut i thi the Optimall'ati'n

    Perhap /e 'ul! plae the CenterF at theMe!ian ', all the urrent !eman!l'ati'n

    In an RF ene7 ,'rm the Cumulati;e4eighting (Cum. $eman!)

    =t: 'r!er eah target l'ati'n in inreaingle;el ', an! then Y

    $etermine the a;erage ', thi Cum4t ,'r Y an! plae l'ati'n the i the amea the ite that &rst e'cees this $alue

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    C. 4t. A;erage i 3?

    St're

    $em.

    ''r

    C.4t.

    Sel. St're

    $em.

     Y''r

    C.4t.

    Sel

    A 5 2.5 5 $ 2

    1 2 2.5 * 2H 2 2

    $ 5 =? A 5 2.5 32 V

    C =H 5.5 2? V @ =? 3.5 ?6 VV

    * 2H ?? VV 1 2 ?.5 ?G

    E =H G 5? C =H ?.5 5G

    @ =? > 6G E =H 5 6G

    'ate at: (in ) an! 3.5 (in Y) a a ruleV

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    Optimiati'n uing Euli!ian$itane:

    =t C'mpute the Center ',@ra;ity:

    ( )

    ( )

    for each location i

    i i

    i

    i i

    i

     D x

     X   D

     D y

    Y   D

    =

    =

    ∑∑

    ∑∑

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    Optimiati'n:

    Start /ith V7 YV !etermine! a';e a ur7 Yur

    C'mpute:

    St'p iterati'n /hen an! Y t'p hanging

    ( )

    ( ) ( )

    ( )( )

    ( )

    ( )( )

    ( )

    2 2$

    :

    $

    $

    $

    $

    ii

    cur i cur i

    i i

    new

    i

    i i

    new

    i

     D g x y

     x x y ythen

     x g x y x

     g x y

     y g x y y

     g x y

    =

    − + −

    ∗=

    ∗=

    ∑∑∑

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     &ren! in Supply Chain

    Management Out'uring ', the l'giti ,unti'n

    (eample: Saturn 'ut'ure! their l'giti

    t' Ry!er &ru". Out'uring ',manu,aturing i a ma-'r tren! thee !ay)

    M';ing t'/ar! m're /e ae!tranati'n ytem

    Impr';ing the in,'rmati'n 8'/ al'ng theentire hain

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    @l'al C'nern in SCM

    M';ing manu,aturing 'h're t' a;e!iret 't 'mpliate an! a!!

    epene t' upply hain 'perati'n7!ue t': inreae! in;ent'ry in the pipeline

    In,ratruture pr'lem

    P'litial pr'lem $ealing /ith 8utuating ehange rate Otaining "ille! la'r