bab6 transpor m

29
V B A B I S A T R O P S N A R T E D O T E M 5 n a u l u h a d n e P . 1 . m a c a m r e b t a p a d r e T - u t a u S . ) l e d o m k r o w t e n ( n a g n i r a j l e d o m m a c a m s i r a g m e t s i s u t a u s h a l a d a n a g n i r a j - n a r u l a s u a t a s i r a g - g n a y n a r u l a s k i t i t n a k g n u b u h g n e m - h a l a d a n a g n i r a j h o t n o c a p a r e b e B . n a n i a l r e b g n a y k i t i t n a g n i r a j n a g n i r a j n a d , a y a r n a l a j n a g n i r a j , a p i p n a r u l a s m e t s i s , i p a a t e r e k l e r k i t i t i r a d s u r a i d a j r e t , i n i n a g n i r a j a u m e s m a l a D . n a g n a b r e n e p - r e b m u s k i t i t a p i p n a r u l a s m e t s i s u t a u s m a l a d , a y n l a s i M . n a u j u t k i t i t a p a r e b e b u j u n e m s a g u a t a , k a y n i m , r i a m i r i k i d t a p a d g n a y n a n a g g n a l u j u n e m r e b m u s i r a d . a t n i m e m h a l a s a m k a y n a B - h a l a s a m i a g a b e s n a k s u m u r i d t a p a d n a g n i r a j h a l a s a m n a k a n u g g n e m n a g n e d h e l o r e p i d t a p a d a y n i s u l o s n a d ) P L ( g n i m m a r g o r P r a e n i L k i n k e t k a y n a b i p a t e T . s k e l p m i s e d o t e m - h a l e t s u s u h k n a g n i r a j k i n k e t a b m e k i d . s k e l p m i s e d o t e m a d a p i r a d n e i s i f e h i b e l a y n m u m u a d a p g n a y n a k g n g n a y n a g n i r a j l e d o m i r a d h o t n o c u t a s h a l a s h a l a d a i s a t r o p s n a r t h a l a s a M i r i c i k i l i m e m - . u t i i t r e p e s i r i c 5 i s a t r o p s n a r T e d o t e M i s i n e f e D . 2 . n a g n e d n a g n u b u h r e b i s a t r o p s n a r t e d o t e m , a y n m u m u a d a P i s u b i r t s i d n a u j u t a p a r e b e b a d a p e k ) y l p p u s ( r e b m u s a p a r e b e b i r a d k u d o r p u t a u s m a c a m u t a s a d a a y n a h a n e r a K . m u m i n i m i s a t r o p s n a r t a y a i b n a g n e d ) d n a m e d ( i r a d a y n n a a t n i m r e p i h u n e m e m t a p a d ) d n a m e d ( n a u j u t t a p m e t u t a u s , g n a r a b . r e b m u s h i b e l u a t a u t a s i r i C - p i r i c : t u k i r e b i a g a b e s h a l a d a i s a t r o p s n a r t n a l a o s r e . a u t n e t r e t n a u j u t h a l m u j e s n a d r e b m u s h a l m u j e s t a p a d r e T . b n a d r e b m u s p a i t e s i r a d n a k i s u b i r t s i d i d g n a y g n a r a b / i t i d o m o k h a l m u j u t n e t r e t a y n r a s e b , n a u j u t p a i t e s h e l o a t n i m i d g n a y . c u s i r a d t u k g n a i d / m i r i k i d g n a y i t i d o m o K , n a u j u t u t a u s e k r e b m u s u t a r e b m u s s a t i s a p a k u a t a n a d n a a t n i m r e p n a g n e d i a u s e s a y n r a s e b . d , n a u j u t u t a u s e k r e b m u s u t a u s i r a d i t i d o m o k n a t u k g n a g n e p s o k g n O u t n e t r e t a y n r a s e b

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Page 1: Bab6 Transpor m

V BAB

ISATROPSNART EDOTEM 5 nauluhadneP .1.

macamreb tapadreT - utauS .)ledom krowten( nagniraj ledom macam

sirag metsis utaus halada nagniraj - narulas uata sirag - gnay narulas

kitit nakgnubuhgnem - halada nagniraj hotnoc aparebeB .nanialreb gnay kitit

nagniraj nagniraj nad ,ayar nalaj nagniraj ,apip narulas metsis ,ipa aterek ler

kitit irad sura idajret ,ini nagniraj aumes malaD .nagnabrenep - rebmus kitit

apip narulas metsis utaus malad ,aynlasiM .naujut kitit aparebeb ujunem

sag uata ,kaynim ,ria mirikid tapad gnay nanaggnal ujunem rebmus irad

.atnimem

halasam kaynaB - halasam iagabes naksumurid tapad nagniraj halasam

nakanuggnem nagned helorepid tapad aynisulos nad )PL( gnimmargorP raeniL

kinket kaynab ipateT .skelpmis edotem - halet susuhk nagniraj kinket

abmekid .skelpmis edotem adap irad neisife hibel aynmumu adap gnay nakgn

gnay nagniraj ledom irad hotnoc utas halas halada isatropsnart halasaM

iric ikilimem - .uti itrepes iric

5 isatropsnarT edoteM isinefeD .2.

nagned nagnubuhreb isatropsnart edotem ,aynmumu adaP isubirtsid

naujut aparebeb adapek )ylppus( rebmus aparebeb irad kudorp utaus

macam utas ada aynah aneraK .muminim isatropsnart ayaib nagned )dnamed(

irad aynnaatnimrep ihunemem tapad )dnamed( naujut tapmet utaus ,gnarab

.rebmus hibel uata utas

iriC - p iric :tukireb iagabes halada isatropsnart nalaosre

.a utnetret naujut halmujes nad rebmus halmujes tapadreT

.b nad rebmus paites irad nakisubirtsidid gnay gnarab/itidomok halmuj

utnetret aynraseb ,naujut paites helo atnimid gnay

.c us irad tukgnaid/mirikid gnay itidomoK ,naujut utaus ek rebmus uta

rebmus satisapak uata nad naatnimrep nagned iauses aynraseb

.d ,naujut utaus ek rebmus utaus irad itidomok natukgnagnep sokgnOutnetret aynraseb

Page 2: Bab6 Transpor m

5 isatropsnarT ledoM .3.

asim isartsuli utaus ,isatropsnart halasam naksalejnem kutnU ada aynl

itrepes nagniraj ledom utaus iagabes )3=n( naujut 3 nad )3=m( rebmus 3

:tukireb rabmag adap tahilret

5 rabmaG nagniraJ ledoM .1.

X( mirikid gnay halmuJ satisapaK ji nahutubeK ) rebmuS nad C( mirik sokgno ji naujuT )

C 11 X ; 11

C 21 X ; 21

C 31 X ; 31

C 12 X ; 12 C 22 X ; 22

C 32 X ; 32

C 13 X ; 13 C 23 X ; 23

C 33 X ; 33

iagabes halada ayngnimmargorp raenil alumrof akam ,naikimed nagneD

:tukireb

:nakmuminiM

C = Z 11 X 11 C+ 21 X 21 C+ 31 X 31 C+ 12 X 12 C+ 22 X 22 C+ 32 X 32 C+ 13 X 13 C+ 23 X 23 C+ 33 X 33

X 11 X+ 21 X+ 31 a = 1

X 12 X+ 22 X+ 32 a = 2 rebmus satabmeP

X 13 X+ 23 X+ 33 a = 3

X 11 X+ 12 X+ 13 b = 1

X 21 X+ 22 X+ 23 b = 2 naujut satabmeP

X 31 X+ 32 X+ 33 b = 3

:halada ayngnimmargorp raenil lebat nakgnadeS

a1 b1

a2

a3

b2

b3

Page 3: Bab6 Transpor m

lebaT 5 gnimmargorP raeniL .1.

Z X 11 X 21 X 31 X 12 X 22 X 32 X 13 X 23 X 33 isuloS

naujut naamasreP 1 -C 11 -C 21 -C 31 -C 12 -C 22 -C 32 -C 13 -C 23 -C 23 0

rebmus satabmeP 0

0

0

1 1 1 1 1 1 1 1 1

0 1 1 1 0 0 0 0 0

1 1 1 0 0 0 0 0 0

a1

a2

a3

naujut satabmeP 0

0

0

0 0 1 0 0 1 0 0 1

1 0 0 1 0 0 1 0 0

1 0 0 1 0 0 1 0 0

b1

b2

b3

lebat tahil( utas uata lon agrahreb naka sigolonket neisifeok aumeS

kadit sataid lebat iraD .isatropsnart ledom tafis nakapurem ini nad ,)sataid

es lawa isulos tahilid tapad isatropsnart nalaosrep adap uti anerak ,salej arac

.tukireb lebat nagned itnagid ipatet sataid itrepes lebat nakanugid igal kadit

lebaT 5 isatropsnarT nalaosreP skirtaM .2. naujuT

rebmuS

1

2

3

narawaneP

1

C 11 X 11

C 21 X 21

C 31 X 31

a1

2

C 12 X 12

C 22 X 22

C 32 X 32

a2

3

C 13 X 13

C 23 X 23

C 33 X 33

a3

naatnimreP

b1

b2

b3

,naikimed nagneD tapad ini isatropsnart nalaosrep nupualaw

tafis ipatet ,skelpmis edotem nagned nakiaselesid - ,uti susuhk gnay ayntafis

ulal satnipes gnay ,anahredes hibel huaj gnay rudesorp nususid tapad akam

nakaes - .skelpmis edotem nagned aynnagnubuh ada kadit naka

adA adap hararet aynaumes gnay ,isatropsnart edotem macam aparebeb

halasam irad lamitpo naiaseleynep - inisiD .idajret gnay isatropsnart halasam

IDOM edotem nagned naktujnalid ,enotS gnippetS edotem nakaracibid naka

.)MAV( dohteM noitamixorppA s’legoV nad

Page 4: Bab6 Transpor m

.1.3.5 gnippetS edoteM - enotS

gnippetS edotem nasalejnep hadumrepmem kutnU - naka enotS

:tukireb hotnoc nakakumekid

naahasureP .P nad ,H ,W id kirbap agit iaynupmem naahasurep utauS

kirbap irad ayniskudorp lisah isakola halasam ipadahgnem - ek tubesret kirbap

dug gna - gnadug nahutubek ,kirbap satisapaK .C nad ,B ,A id nalaujnep gnadug

adap tahilid tapad gnadug pait ek kirbap pait irad natukgnagnep ayaib nad

lebaT 5 ,3. 5 nad ,4. 5 .5.

lebaT 5 P nad ,H ,W kirbaP satisapaK .3. kirbaP malad( iskudorP satisapaK )not

W H P

09 06 05

halmuJ 002

lebaT 5 C nad ,B ,A gnaduG nahutubeK .4. gnaduG )not malad( naluB pait nahutubeK

A B C

05 011

04 halmuJ 002

lebaT 5 P .H ,W kirbaP irad noT paiteS natukgnagneP ayaiB .5. .C ,B ,A gnaduG ek

iraD )haipur naubir malad( not pait ayaiB A gnaduG eK B gnaduG eK C gnaduG eK

W kirbaP H kirbaP P kirbaP

02 51 52

5 02 01

8 01 91

isakolA lebaT nanusuyneP .a

,halasam nakhacemem nad imahamem hadum hibel kutnU sataid atad

satisapak aratna nagnubuh nakkujnunem gnay lebat utaus malad ek nususid

adap tahilret itrepes natukgnagnep ayaib nad ,gnadug nahutubek ,kirbap

lebaT 5 :tahilret tubesret lebat adaP .6.

pait nahutubek halmuJ - aret sirab adap nakkatelid gnadug pait rihk

rihkaret molok adap nakkatelid kirbap pait satisapaK

licek tapme iges adap nakkatelid natukgnagnep ayaiB

X ji A irad aynlasiM .j naujut ek i rebmus irad isakola aynkaynab halada

X = )1 naujut ek 1 rebmus( B ek 11 X ialiN . ji .iracid naka gnay halini

Page 5: Bab6 Transpor m

ebaT l 5 isatropsnarT lebaT .6.

eK iraD

gnaduG A

gnaduG B

gnaduG C

satisapaK kirbaP

W kirbaP

02 X 11

5 X 21

8 X 31

09

H kirbaP

51 X 12

02 X 22

01 X 32

06

P kirbaP

52 X 13

01 X 23

91 X 33

05

nahutubeK

gnaduG

05

011

04

002

isakolA rudesorP .b

ayntujnales hakgnal akam ,lebat kutneb malad nususret atad haleteS

d kudorp nakisakolagnem halada kirbap ira - gnadug ek kirbap - .gnadug

adap namodepreb amatrep sitamitsis isakola rudesorP tual tarab tudus

.)elur renroc tsewhtron( lebaT irad sata irik tudus irad ialuM 5 X( 6. 11 )

nad satisapak tahilem nagned kudorp mumiskam halmujes nakisakolaid

g nahutubek X alib ,uti haletes naidumeK .gnadu ji rihkaret katok nakapurem

X adap nakisakolagnem nagned naktujnalid ,hilipid gnay 1+J ,i iaynupmem i alib

X ek nakisakola ,kadit aliB .asisret gnay satisapak j,1+i aggnihes aynsuretes nad

.ihunepret halet nahutubek aumes

lebaT 5 gnadug ek kudorp amatrep pahat isakola lisah nakapurem .7. - gnadug

namodep nagned tual tarab tudus asaib isakola isiret gnay tapme igeS .

tubesid utab tapme iges tubesid gnosok gnay nad , ria tapme iges ayaiB .

i amatrep pahat isakola kutnu natukgnagnep : in

062.3 = )91(04 + )01(01 + )02(06 + )5(04 + )02(05 = CT

Page 6: Bab6 Transpor m

lebaT 5 .tuaL taraB tuduS namodeP nagneD lawA pahaT isakolA .7.

eK

iraD gnaduG

A gnaduG

B gnaduG

C satisapaK

kirbaP

W kirbaP

02

5

8

09

H kirbaP

51

02

01

06

P kirbaP

52

01

91

05

nahutubeK

gnaduG

05

011

04

002

.c rorrE dna lairT araceS isakolA habugneM

lebaT adap isakola ,natukgnagnep ayaib ignarugnem kutnU 5 habuid 7.

araces rorre dna lairt .

akam ,isiret muleb AH tapme iges ,A gnaduG molok adap aynlasiM

apme iges irad nahadnimep nagned )not( nautas 1 isiid abocid gnay t

laH .05 patet gnadug nahutubek raga AW tapme iges irad aynlasim ,nial

itrepes BH nad BW tapme iges ihuragnepmem naka aguj utnet ini

halada naktabikaid gnay ayaib nahabureP .8.6 lebaT adap tahilret

:tukireb iagabes

ayaib nahabmaT : A ek H irad 1 = 5 B ek W irad 5 = 02

ayaib nagnarugneP : A ek W irad 02 = B ek H irad = 02 04

ada itrareb ,04 ayaib nagnarugnep gnades 02 ayaib nahabmaT

02 natamehgnep )not 1( tinu 1 isakol nahadnimep paites kutnu )000.02 pR=(

,ini naataynek nakrasdreB .BH nad AW irad BW nad AH tapme iges ek gnarab

,)ajas tinu 1 aynah kadit( kaynab hibel nakanaskalid gnay isakola halmuj alib

halmuJ .kaynab hibel naka aynnatamehgnep akam mumiskam habuid asib

rasebes takedret gnay tapme iges 2 irad licekret isi .isiid naka gnay nagned

.06 = BH tapme iges isi irad licek hibel ,05 = AW tapme iges isi ini lah malaD

tapme iges isi alup nakhabmatid nad tinu 05 AH tapme iges adap nakisiid idaJ

BW ini isakola nahabureP .tinu 05 rasebes )AH nagned gnakaleb kalotreb gnay(

05 04

06

01 04

Page 7: Bab6 Transpor m

natukgnagnep ayaib naklisahgnem nagned ,9.6 lebaT adap tahilret itrepes

.harum hibel gnay

lebaT 5 .rorrE dna lairT nagned amatreP nakiabreP .8. eK

iraD gnaduG

A gnaduG

B gnaduG

C satisapaK

kirbaP

W kirbaP

02 05

(- )

5 04

)+(

8

09

H kirbaP

51

)+(

02 06

(-)

01

06

P kirbaP

52

01 01

91 04

05

nahutubeK

gnaduG

05

011

04

002

lebaT 5 .rorrE dna lairT nagned audeK nakiabreP .9.

eK iraD

gnaduG A

gnaduG B

gnaduG C

satisapaK kirbaP

irbaP W k

02 05

5 04 09

8

09

H kirbaP

51 05

02 06 01

01

06

P kirbaP

52

01 01

91 04

05

nahutubeK

gnaduG

05

011

04

002

)02(01 + )51(05 + )5(09 = CT 062.2 = )91(04 + )01(01 + irad harum hibel

lebaT( amatrep isakola 5 .)7.

bugnem nagned nakukalid aguj tapad ini isakola nahabureP isakola ha

,CW tapme iges isiid naka ,aynlasiM .natakedreb kadit gnay tapme iges adap

nad ,BP ,BW tapme iges apureb tapad habureb tuki gnay nial tapme iges akam

lebaT adap tahilret itrepes CP 5 .01.

Page 8: Bab6 Transpor m

lebaT 5 uajreB tapmE igeS nagned isakolA nakiabreP .01. .nah

eK iraD

gnaduG A

gnaduG B

gnaduG C

satisapaK kirbaP

W kirbaP

02

5 09 05

8 04

09

H kirbaP

51 05

02 01

01

06

P kirbaP

52

01 01 05

91 04

05

nahutubeK

gnaduG

05

011

04

002

1(05 + )02(01 + )51(05 + )8(04 + )5(05 = CT 020.2 = )0

nahaburep nagned alib nahaburep nakadaid aynsuretes halnaikimeD

natukgnagnep ayaib helorepid aynrihka iapmas ,ayaib ignarugnem tapad uti

.)lamitpo( hadneret gnay

lebaT 5 .rorrE dna lairT nagned agiteK nakiabreP .11. eK

iraD G gnadu

A gnaduG

B gnaduG

C satisapaK

kirbaP

W kirbaP

02

5 05 06

8 04 03

09

H kirbaP

51 05

02 01

01 01

06

P kirbaP

52

01 05

91

05

nahutubeK

gnaduG

05

011

04

002

Page 9: Bab6 Transpor m

lebaT 5 .rorrE dna lairT nagned lamitpO isuloS .21.

eK iraD

gnaduG A

gnaduG B

gnaduG C

satisapaK kirbaP

W kirbaP

02

5 06

8 03

09

H kirbaP

51 05

02

01 01

06

P kirbaP

52

01 05

91

05

nahutubeK

gnaduG

05

011

04

002

: uata , lamitpo isatropsnart ayaib latot akaM

5 + )51(05 + )8(03 + )5(06 = CT 005 + 001 + 057 + 042 + 003 = )01(0

.098.1 =

.2.3.5 )noitubirtsiD deifidoM( IDOM edoteM

gnippetS edotem irad isakifidom nakapurem IDOM edoteM - .enotS

malad anerak tamrec hibel gnay lamitpo lisah helorepmem tapad ini edoteM

sok tapme iges nakutnenem nagned nakukalid ayaib tamehgnem asib gnay gno

hakgnal nupadA .tapet nad itsap hibel gnay rudesorp - ayngnutihgnem hakgnal

:tukireb iagabes halada

hawaB nanaK ek satA iriK tuduS irad amatreP lebaT halisI

lebaT 5 duS namodeP nagneD lawA pahaT isakolA .7. taraB tu .tuaL

eK iraD

gnaduG A

gnaduG B

gnaduG C

satisapaK kirbaP

W kirbaP

02

5

8

09

H kirbaP

51

02

01

06

P kirbaP

52

01

91

05

nahutubeK

gnaduG

05

011

04

002

05 04

06

01 04

Page 10: Bab6 Transpor m

moloK nad siraB ialiN nakutneneM

naamasrep nakrasadreb nakutnetid molok nad sirab ialiN jiC = jK + iR .

siraB sirab ialin nad ,0 ialin irebid ulales amatrep - molok nad sirab - nial molok

lisah nakrasadreb nakutnetid - .helorepid gnay nagnutihrep lisah

sirab ialiN R = W W .0 = :A molok ialin iracneM

RW K + A C = AW K + 0 A K= A molok ialin ,02 = A 02 =

ok ialin iracneM nial gnay sirab nad mol RW K + B C = BW K + 0 ; B K ; 5 = B 5 = RH K + B C = BH R ; H R ; 02 = 5 + H 51 = RP K + B C = BP R ; H R ; 01 = 5 + P 5 = RP K + C C = CP K + 5 ; C K ; 91 = C 41 =

ialiN - gnay molok/sirab adap nakkatelid naidumek ini ialin

lebaT adap tahilret itrepes ,natukgnasreb 5 .31.

lebaT 5 .moloK nad siraB ialiN naisigneP .31. eK

iraD gnaduG

02 = A gnaduG

5 = B gnaduG

41= C satisapaK

kirbaP

kirbaP 0 = W

02

5

8

09

kirbaP

51 = H

51

02

01

06

kirbaP

5 = P

52

01

91

05

nahutubeK

gnaduG

05

011

04

002

nI gnutihgneM nakiabreP sked

gnay tapme iges( ria tapme iges irad ialin halada nakiabrep skednI

:sumur nagned ayniracneM .)gnosok

C ji – Ri - Kj nakiabrep skedni =

lebaT 5 nakiabreP skednI gnutihgneM .41.

tapmE igeS

C ji - Rj - Kj

nakiabreP skednI

AH AP CW CH

51 - 51 - 02 52 - 5 - 02 8 - 0 - 41

01 - 51 - 41

- 02 0

- 6 - 91

05 04

06

01 04

Page 11: Bab6 Transpor m

nahabureP kaloT kitiT hilimeM

irebid alib itrareb fitagen nakiabrep skedni iaynupmem gnay tapme igeS

p ayaib halmuj ignarugnem tapad naka )isiid( isakola aliB .natukgnagne

ayaib nakianek nakbabeynem naka naisignep itrareb fitisop aynialin

iges halada nahaburep kalot kitit nakapurem gnay tapme igeS .natukgnagnep

aynskedni gnay tapme rasebret aynakgna nad fitagen adnatreb malaD .

emem gnay ataynret ,41.6 lebaT anerak helO .AH tapme iges halada tarays ihun

.isiid naka gnay tapme iges iagabes hilipid ini tapme iges uti

isakolA ikiabrepmeM

iges 1 halhiliP .)AH( hilipret gnay tapme iges adap fitisop adnat halireB

me iges 1 ,)BH( sirabes nad takedret isi gnay tapme nad takedret isi gnay tap

halhilip naidumeK .ini tapme iges 2 adap fitagen adnat halireB .)AW( molokes

adnatreb gnay tapme iges 2 nagned molokes uata sirabes gnay tapme iges utas

ayntujnaleS .fitisop adnat ini tapme iges halireb nad ,)BW( idat fitagen

dnip adnatreb gnay ek fitagen adnatreb gnay tapme iges irad isakola halnakha

iges idaJ .)05( fitisop adnatreb gnay tapme iges irad licekret isi kaynabes fitisop

06 isireb BH tapme iges ,05 isireb naidumek AH tapme - tapme iges ,01 = 05

d ,09 = 05 + 04 isireb BW lebaT tahiL( isireb kadit idajnem AW tapme iges na

5 .)51.

lebaT 5 isakolA helorepmeM kutnu isakolA nahabureP .51.

.IDOM edoteM nagned lamitpO

eK iraD

gnaduG 02 = A

gnaduG 5 = B

gnaduG 41 = C

satisapaK kirbaP

kirbaP

0 = W

02 05

(- )

5 04 09

)+(

8

09

kirbaP

51 = H

51 05

)+(

02 06 01 (-)

01

06

kirbaP

5 = P

52

01 01

91 04

05

nahutubeK

gnaduG

05

011

04

002

Page 12: Bab6 Transpor m

lebaT 5 helorepmeM kutnU amatreP isakolA nahabureP .61.

.IDOM edoteM nagned lamitpO isakolA

eK D ira

gnaduG 02 = A

gnaduG 5 = B

gnaduG 41 = C

satisapaK kirbaP

kirbaP

0 = W

02

5 09

8

09

kirbaP

51 = H

51 05

02 01

01

06

kirbaP

5 = P

52

01 01

91 04

05

nahutubeK

gnaduG

05

011

04

002

)91( 04 + )01( 01 + )02( 01 + )51( 05 + )5( 09 = isatropsnart ayaiB

062.2 =

hakgnaL halgnalU - sataiD tubesreT hakgnaL

aliB .hadneret ayaib helorepid iapmas audek romon hakgnal ialuM

tubesret isakola itrareb fitagen ialinreb gnay nakiabrep skedni ada hisam

kadit hadus aliB .natukgnagnep ayaib ignarugnem kutnu habuid tapad hisam

ada nahaburep hotnoc iagabeS .lamitpo hadus itrareb fitagen gnay skedni

lebaT adap tahilid tapad lamitpo lebat iapacnem iapmas amatrep 5 ,71. 5 ,81.

nad 5 .91.

lebaT 5 helorepmeM kutnu audeK isakolA nahabureP .71. mitpO isakolA .IDOM edoteM nagned la

eK iraD

gnaduG 0 = A

gnaduG 5 = B

gnaduG 41 = C

satisapaK kirbaP

kirbaP

0 = W

02

5 09

8

09

kirbaP

51 = H

51 05

02 01

(- )

01 01 )+(

06

kirbaP

5 = P

52

01 01 02

)+(

91 04 03 (- )

05

nahutubeK

gnaduG

05

011

04

002

atropsnart ayaiB 070.2 = )91(03 + )01(02 + )01(01 + )51(05 + )5(09 = is

Page 13: Bab6 Transpor m

lebaT 5 helorepmeM kutnU agiteK isakolA nahabureP .81.

.IDOM edoteM nagned lamitpO isakolA eK

iraD gnaduG

91 = A gnaduG

5 = B gnaduG

41 = C satisapaK

kirbaP

kirbaP 0 = W

02

5 09 06

(- )

8 03

)+(

09

kirbaP

= H - 4

51 05

02

01 01

06

kirbaP

5 = P

52

01 02 05

)+(

91 03

(- )

05

nahutubeK

gnaduG

05

011

04

002

098.1 = )01(05 + )01(01 + )51(05 + )8(03 + )5(06 = isatropsnart ayaiB

lebaT 5 isakolA helorepmeM kutnU isakolA nahabureP .91.

IDOM edoteM nagned lamitpO eK

iraD gnaduG

31 = A gnaduG

5 = B gnaduG

8 = C satisapaK

kirbaP

kirbaP 0 = W

02

5 06

8 03

09

kirbaP

2 = H

51 05

02

01 01

06

kirbaP

5 = P

52

01 05

91

05

nahutubeK gnaduG

05

011

04

002

lebaT 5 adap nakiabrep skedni anerak igal naklamitpoid asib kadit 91.

paites ria tapme iges lebaT adap tahilret itrepes ,fitagen gnay ada kadit hadus

5 .02.

lebaT 5 lebaT nakiabreP skednI .02. 5 91.

tapmE igeS

C ji - Rj - Kj

nakiabreP skednI

AW BH AP CP

02 - 0 - 31 02 - 2 - 5 52 - 5 - 31 91 - 5 - 8

7 31 7 6

Page 14: Bab6 Transpor m

.3.3.5 noitamixorppA s’legoV edoteM

V edoteM nakapurem )MAV( dohteM noitamixorppA s’legoV uata lego

irad isakola rutagnem tapad kutnu tapec hibel nad hadum hibel gnay edotem

hakgnal nupadA .narasamep haread aparebeb ek rebmus aparebeb - hakgnal

:tukireb iagabes halada ayngnutihgnem kutnu

.a tubek halnusuS gnisam satisapak ,nahu - ayaib nad ,rebmus gnisam

lebaT adap itrepes kirtam malad ek natukgnagnep 5 .6.

lebaT 5 isatropsnarT lebaT .6. eK

iraD gnaduG

A gnaduG

B gnaduG

C satisapaK

kirbaP

kirbaP W

02 X 11

5 X 21

8 X 31

09

kirbaP

H

51 X 12

02 X 22

01 X 32

06

kirbaP

P

52 X 13

01 X 23

91 X 33

05

nahutubeK gnaduG

05

011

04

2 00

.b ayaib utiay ,)tulosba ialin malad( licekret ayaib aud irad naadebrep haliraC

C( skirtam adap molok nad sirab pait kutnu audek licekret nad licekret ji .)

gnay irad aud romon nad 5 = licekret tukgna ayaib W sirab adap aynlasiM

ab ialin idaJ .8 = licekret 8 = W sir - ialin aynsuretes naikimeD .3 = 5 - ialin

:tukireb iagabes nial gnay

H siraB 51 = - 5 = 01 P siraB 91 = - 9 = 01 A moloK 02 = - 5 = 51 B moloK 01 = - 5 = 5

C moloK 01 = - 2 = 8

.c naadebrep ialin 1 halhiliP - na id rasebret gnay naadebrep ialin aumes arat

ialin iaynupmem P sirab ini lah malaD .sirab nad molok adap naadebrep

.9 utiay ,rasebret naadebrep

.d sirab uata molok malad kusamret gnay tapme iges utas halas adap halisI

gnay tapme iges adap utiay ,hilipret hadneret aynayaib iges aratnaid

asib gnay nikgnum kaynabes aynnaisI .uti sirab/molok adap nial tapme

,52 = AP tapme iges kutnu tukgna ayaib ,P sirab adap aynlasiM .nakukalid

ayaib halada licekret gnaY .91 = CP tapme iges nad ,01 = BP tapme iges

Page 15: Bab6 Transpor m

pme iges isi atik akaM .BP tapme iges adap hibel( nautas 05 nagned BP ta

.)05 = P kirbap satisapak anerak nikgnum kadit nautas 05 irad

lebaT 5 aluM noituloS elbisaeF .12. - edoteM irad alum .noitamixorppA s’legoV

kirbap amaN gnaduG

C B A ebreP naad

sirab satisapaK W

H kirbaP P

8 5 02 01 02 51 91 01 52

3 09 5 06 9 05

nahutubeK molok naadebreP

04 011 05 2 5 5

X nahiliP BP 05 = P sirab nakgnaliH

.e satisapak( aynhunepes isiid hadus tubesret sirab anerak P sirab nakgnaliH

nad molok nakitahrep naidumeK .igal isiid nikgnum kadit aggnihes )hunep

leb gnay sirab .)C ,B ,A molok nad ,H ,W sirab( isakolaret/isiret mu

.f ek hakgnal adap ayaib )hisiles( naadebrep ilabmek nakutneT - kutnu 2

hakgnal nagned iapmas 3 hakgnal gnalU .isiret muleb gnay sirab nad molok

tahil( isakolaret aynhunepes molok nad sirab aumes iapmas ,5 lebaT 5 .)22.

lebaT 5 .natujnaL MAV irad noituloS elbisaeF .22.

kirbap amaN gnaduG

C B A naadebreP

sirab satisapaK W

kirbaP H

02 8 5 01 02 51

3 09 5 06

nahutubeK molok naadebreP

04 06 05 2 51 5

X nahiliP BW 06 = B molok nakgnaliH

kirbap amaN

gnaduG A C

naadebreP sirab satisapaK

W kirbaP

H

8 02 01 51

21 03 5 06

nahutubeK molok naadebreP

04 05 2 5

X nahiliP CW 03 = W sirab nakgnaliH

kirbap amaN

gnaduG C A

satisapaK

H kirbaP 51 01 06 nahutubeK

01 05

X nahiliP AH 05 = X CH 01 =

halada sataid noitamixorppA s’legoV edotem nagned isakola kirtam ,idaJ

:tukireb iagabes

Page 16: Bab6 Transpor m

lebaT 5 edoteM nagned isakolA lisaH skirtaM .32. .MAV

eK iraD

gnaduG A

gnaduG B

gnaduG C

satisapaK kirbaP

kirbaP

W

02

5 06

8 03

09

kirbaP

H

51 05

02

01 01

06

kirbaP

P

52

01 05

91

05

nahutubeK gnaduG

05

011

04

002

.g rayabid surah gnay aynisatropsnart ayaib akam ,aumes isiret haleteS

098.1 = )01( 05 + )01( 01 + )51( 05 + )8( 03 + )5( 06 :halada

.h aliB utas gnay lasim ,amas aynraseb gnay 2 ada ayaib naadebrep ialin

molok maladek kusam gnay tapme iges haltahil akam molok adap katelret

ini tapme iges aliB .rasebret ialin iaynupmem gnay sirab nupuam

ta sirab adap tapme iges aratnaid hadneret ayaib iaynupmem ,aynmolok ua

kadit aynayaib aliB .ini tapme iges adap mumiskam isakola nakisi akam

,utas halas rasadreb isiid naka gnay tapme iges halhilip akam ,hadneret

.e nad d hakgnal adap itrepes ,hilipret molok uata hilipret sirab

.1 nahitaL

nagnem naahasurep haubeS haread agit ek lasa toped agit irad alug tukg

ek toped pait irad tukgna sokgno nakrabmaggnem ini tukireb lebaT .naujut

gnisam - toped pait id aidesret gnay alug halmuj aguj nad naujut tapmet gnisam

.haread pait nahutubek atres

natukgnA ataD .1.1 lebaT eK

iraD hareaD

T1 hareaD

T2 hareaD

T3

namirigneP

topeD A1

05 021

001

001

021

topeD

A2

002 03

003 041

002

071

topeD

A3

001

002 07

003 09

061

nahutubeK

051

012

09

054

Page 17: Bab6 Transpor m

:naaynatreP

edotem nakanuggnem nagned lamitpo isatropsnart ayaib halgnutiH

.MAV nad ,idoM ,enotS gnippetS

5 gnabmieS kaT isatropsnarT halasaM .4.

igab adaP ,gnabmies isatropsnart halasam sahabid halet ini mulebes na

nakaynabek ,aynranebeS .naatnimrep nagned amas narawanep halmuj anamid

hibel narawanep halmuj anamid gnabmies kat halada isatropsnart halasam

sam susak malaD .aynkilabes uata naatnimrep irad raseb ,gnabmies kat hala

.isakifidom tikides nakhutubmem isatropsnart isulos edotem

narawaneP irad raseB hibeL naatnimreP

gnabmies kat halasam isulos imahamem nakhadumem kutnU

:tukireb hotnoc nakitahrep ,ini )narawanep > naatnimrep(

reb aragen naahasurep haubeS agit irad kupup tukgnagnem nagnitnepek

agitek adap naatnimrep ,kirbap agitek ylppus satisapaK .rasap agit ek kirbap

:tukireb iagabes halada tinu rep isatropsnart ayaib nad rasap

naatnimreP

narawaneP

D1

D2

D3

narawaneP

S1

S2

S3

8

51

3

5

01

9

6

21

01

021

08

08

naatnimreP

051

07

09

082 013

: tukireb iagabes naksumurid tapad sataid halasaM

X8 = Z .niM 11 X5+ 21 X6+ 31 X5+ 12 X01+ 22 X21+ 32 X3+ 13 X9+ 23 X01+ 33

X :tarays nagneD 11 X + 21 X + 31 021 =

X 12 X + 22 X + 32 08 =

X 13 X + 23 X + 33 051 =

X 11 X + 12 X + 13 ≤ 051

X 21 X + 22 X + 23 ≤ 07

X 31 X + 32 X + 33 ≤ 07

X aumeS ji ≥ 0

Page 18: Bab6 Transpor m

( naamaskaditeK ≤ aumes awhab nakkujnunem naatnimrep aladnek )

aladnek hibel uata utas numan ,nakmirikid naka aidesret gnay tinu

id ulrep ,uti kutnU .ihunepret naka kat naatnimrep sirab utaus nakhabmat

adap nakkujnutid isakifidomid gnay lebaT .isatropsnart lebat malad ymmud

.2 lebat

aggnihes nakhabmatid halet )nalayahk ylppus/rebmus( ymmud utauS

kutnu tinu rep ropnart ayaiB .naatnimrep nad narawanep nakgnabmieynem

lada naujut agitek katok ek isakola anerak lon ha - kadit uti katok

lebarav nagned golana ini ymmud katoK .aynhuggnuses isulos ihuragnepmem

.lon nagned amas naujut isgnuf malad aynisubirtnok ialin gnay ,kcals

naktapadnem kutnu edotem ihuragnepmem kadit ymmud nahabmaneP

isulos edotem nagned mumitpo isulos nakutnenem edotem nupuam lawa

htroN edoteM .MAV nad IDOM ,enotS gnippetS - ini susak malad renroC tseW

,IDOM nad enotS gnippetS edotem malaD .nahaburep imalagnem kadit aguj

katok - katok itrepes nakukalrepid ymmud katok - gnay katok malaD .nial

C ialin ,MAV edotem ji akitek hadneret molok ayaib iagabes nakanugid ymmud

.tsoc ytinutroppo nagnutihrep nakukalid

lebaT .5 24 ) S > D ( isakifidomiD gnaY isatropsnarT lebaT .

naatnimreP narawaneP

D1

D2

D3

narawaneP

S1

8

5

6

021

S2

51

01

21

08

S3

3

9

01

08

ymmuD

0 0 0 03

naatnimreP

051

07

09

013

Page 19: Bab6 Transpor m

.A ENOTS GNIPPETS EDOTEM

lebaT 52.5 tuaL taraB tuduS edoteM lawA isakolA . naatnimreP

narawaneP

D1

D2

D3

narawaneP

S1

8 021

5

6

021

S2

51 03

01 05

21

08

S3

3

9 02

01 06

08

ymmuD

0 0 0 03

03

naatnimreP

051

07

09

013

)lawa isakola( isatropsnart ayaib latoT

)0 x 03( + )01 x 06( + )9 x 02( + )01 x 05( + )51 x 03( + )8 x 021( = CT 0 + 006 + 081 + 005 + 054 + 069 = 096.2 =

lebaT 62.5 amatreP nakiabreP .

naatnimreP narawaneP

D1

D2

D3

narawaneP

S1

8 021

5

6

021

S2

51 03 01

(- )

01 05 07

)+(

21

08

S3

3 02

)+(

9 02

(-)

01 06

08

ymmuD

0 0 0 03

03

naatnimreP

051

07

09

013

rep( isatropsnart ayaib latoT )amatrep nakiab

)0 x 03( + )01 x 06( + )3 x 02( + )01 x 07( + )51 x 01( + )8 x 021( = CT 0 + 006 + 06 + 007 + 051 + 069 = 074.2 =

Page 20: Bab6 Transpor m

5 lebaT 72. audeK nakiabreP .

naatnimreP narawaneP

D1

D2

D3

narawaneP

S1

8 021 06

5

6 06

021

S2

51 01

01 07

21

08

S3

3 02 08

9

01 06

08

ymmuD

0 0 0 03

03

naatnimreP

051

07

09

013

)audek nakiabrep( isatropsnart ayaib latoT

( + )3 x 08( + )01 x 07( + )51 x 01( + )6 x 06( + )8 x 06( = CT )0 x 03 0 + 042 + 007 + 051 + 063 + 084 = 039.1 =

lebaT 82.5 agiteK nakiabreP .

naatnimreP

narawaneP

D1

D2

D3

narawaneP

S1

8 06 07

5

6 06 05

021

S2

51 01

01 07

21 01

08

S3

3 08

9

01

08

ymmuD

0 0 0 03

03

naatnimreP

051

07

09

013

)agitek nakiabrep( isatropsnart ayaib latoT

)0 x 03( + )3 x 08( + )21 x 01( + )01 x 07( + )6 x 05( + )8 x 07( = CT 0 + 042 + 021 + 007 + 003 + 065 = 029.1 =

Page 21: Bab6 Transpor m

lebaT 92.5 tapmeeK nakiabreP .

naatnimreP

narawaneP

D1

D2

D3

narawaneP

S1

8 07 04

5

6 05 08

021

S2

51

01 07

21 01

08

S3

3 08

9

01

08

ymmuD

0 03

0 0 03

03

naatnimreP

051

07

09

013

)agitek nakiabrep( isatropsnart ayaib latoT

)0 x 03( + )3 x 08( + )21 x 01( + )01 x 07( + )6 x 08( + )8 x 04( = CT 0 + 042 + 021 + 007 + 084 + 023 = 068.1 =

lebaT 03.5 mumitpO isakolA .

naatnimreP narawaneP

D1

D2

D3

narawaneP

S1

8 04

5

6 08

021

S2

51

01 07

21 01

08

S3

3 08

9

01

08

ymmuD

0 03

0 0

03

naatnimreP

051

07

09

013

068.1 = lamitpo isatropsnart ayaib latoT

Page 22: Bab6 Transpor m

IDOM EDOTEM

lebaT .5 31 tuaL taraB tuduS edoteM lawA isakolA .

naatnimreP arawaneP n

D1

D2

D3

narawaneP

S1

8 021

5

6

021

S2

51 03

01 05

21

08

S3

3

9 02

01 06

08

ymmuD

0 0 0 03

03

naatnimreP

051

07

09

013

molok ialin nad sirab ialin nakutneneM

R 1S 0 = nautneteK

R 1S K + 1D C = 1D1S R 3S K + 2D C = 2D3S

K + 0 1D K 8 = 1D R 8 = 3S R 9 = 3 + 3S 6 =

R 2S K + 1D C = 1D2S R 3S K + 3D C = 3D3S R 2S R 51 = 8 + 2S K + 6 7 = D3 K 01 = 3D 4 =

R 2S K + 2D C = 2D2S R uD K + 3D C = 3DUD

K + 7 2D K 01 = 2D R 3 = uD R 0 = 4 + UD = - 4

lebaT 23.5 moloK ialiN nad siraB ialiN naisigneP . naatnimreP narawaneP

D1 8 =

D 2 3 =

D 3 4 =

narawaneP

S1 0 =

8 021

5

6

021

S2 7 =

51 03

01 05

21

08

S3 = 6

3

9 02

01 06

08

= muD - 4

0 0 0 03

03

naatnimreP

051

07

09

013

Page 23: Bab6 Transpor m

.5 lebaT .33 nakiabreP skednI gnutihgneM

tapmE igeS

C ji – Ri - Kj

nakiabreP skednI

S1D2 S1D3

S2D3

S3D1

DUD1

DUD2

5 – 0 – 3 6 – 0 – 4

21 – 7 – 4 3 – 6 – 8 0 – (- )4 – 8 0 – (- )4 – 3

2 2 1

- 11 √ - 4

1

lebaT 43.5 lamitpO isakolA helorepmeM kutnU isakolA nahabureP .)1 nakiabreP(

naatnimreP narawaneP

D1 8 =

D 2 3 =

D 3 4 =

narawaneP

S1 0 =

8 021

5

6

021

S2 7 =

51 03 01

01 05 07

21

08

S3 6 =

3 02

9 02

01 06

08

= muD - 4

0 0 0 03

03

naatnimreP

051

07

09

013

)1 nakiabrep( isatropsnart ayaib latoT

)0 x 03( + )01 x 06( + )3 x 02( + )01 x 07( + )51 x 01( + )8 x 021( = CT 0 + 006 + 06 + 007 + 051 + 069 = 074.2 =

utneneM molok ialin nad sirab ialin nak

R 1S 0 = nautneteK R 1S K + 1D C = 1D1S R 2S K + 2D C = 2D2S

K + 0 1D K 8 = 1D K + 7 8 = 2D K 01 = 2D 3 =

R 2S K + 1D C = 1D2S R 3S K + 3D C = 3D3S R 2S R 51 = 8 + 2S 7 = - K + 5 3D K 01 = 3D 51 =

R 3S K + 1D C = 1D3S R uD K + 3D C = 3DUD R 3S R 3 = 8 + 3S = - 5 R uD R 0 = 51 + UD = - 51

Page 24: Bab6 Transpor m

lebaT 53.5 nakiabreP skednI gnutihgneM .

tapmE igeS

C ji – Ri - Kj

nakiabreP skednI

S1D2 S1D3

S2D3

S3D2

DUD1

DUD2

5 – 0 – 3 6 – 0 – 51

21 – 7 – 51 9 – (- )5 – 3

0 – (- )51 – 8 0 – (- )51 – 3

2 - 9 - 01 √ 11 7

21

lebaT 53.5 isakolA helorepmeM kutnU isakolA nahabureP . )2 nakiabreP( lamitpO

naatnimreP narawaneP

D1 8 =

D 2 3 =

D 3 4 =

narawaneP

S1 0 =

8 021

5

6

021

S2 7 =

51 01

01 07

21 01

08

S3 = - 5

3 02 03

9

01 06 05

08

muD = - 51

0 0 0 03

03

naatnimreP

051

07

09

013

)2 nakiabrep( isatropsnart ayaib latoT

)0 x 03( + )01 x 05( + )3 x 03( + )21 x 01( + )01 x 07( + )8 x 021( = CT 05 + 09 + 021 + 007 + 069 = 0 + 0 073.2 =

molok ialin nad sirab ialin nakutneneM

R 1S 0 = nautneteK R 1S K + 1D C = 1D1S R 2S K + 3D C = 3D2S

K + 0 1D K 8 = 1D R 8 = 2S R 21 = 51 + 2S = - 3

R 3S K + 1D C = 1D3S R 2S K + 2D C = 2D2S R 3S R 3 = 8 + 3S = - 5 - K + 3 2D K 01 = 2D 31 =

R 3S K + 3D C = 3D3S R uD K + 3D C = 3DUD - 5 K + 3D K 01 = 3D R 51 = uD R 0 = 51 + UD = - 51

Page 25: Bab6 Transpor m

lebaT 63.5 nakiabreP skednI gnutihgneM .

tapmE igeS

C ji – Ri - Kj

nakiabreP skednI

S1D2 S1D3

S2D1

S3D2

DUD1

DUD2

5 – 0 – 31 6 – 0 – 51

51 – (- )3 – 8 9 – (- )5 – 31 0 – (- )51 – 8 0 – (- )51 – 31

- 8 - 9 √

01 1 7 2

lebaT 73.5 isakolA helorepmeM kutnU isakolA nahabureP . )3 nakiabreP( lamitpO

naatnimreP narawaneP

D1 8 =

D 2 31 =

D 3 51 =

narawaneP

S1 0 =

8 021 07

5

6 05

021

S2 = - 3

51

01 07

21 01

08

S3 = - 5

3 03 08

9

01 05

08

= muD - 51

0 0 0 03

03

naatnimreP

051

07

09

013

)3 nakiabrep( isatropsnart ayaib latoT

)0 x 03( + )03 x 08( + )21 x 01( + )01 x 07( + )6 x 05( + )8 x 07( = CT = 0 + 042 + 021 + 007 + 003 + 065 029.1 =

molok ialin nad sirab ialin nakutneneM R 1S 0 = nautneteK

R 1S K + 1D C = 1D1S R 2S K + 2D C = 2D2S

K + 0 1D 8 = K 1D 8 = K + 6 2D 01 = K 2D 4 =

R 1S K + 3D C = 3D1S R 3S K + 1D C = 1D3S K + 0 3D K 6 = 3D R 6 = 3S R 3 = 8 + 3S = - 5

R 2S K + 3D C = 3D2S R uD + K 3D C = 3DUD R 2S R 21 = 6 + 2S R 6 = uD R 0 = 6 + UD = - 6

Page 26: Bab6 Transpor m

lebaT 83.5 nakiabreP skednI gnutihgneM .

tapmE igeS

C ji – Ri - Kj

nakiabreP skednI

S1D2 S2D1

S3D2

DUD1

DUD2

5 – 0 – 4 51 – 6 – 8 9 – ( - )5 – 4 0 – ( - )6 – 8 0 – ( - )6 – 4

1 1

01 - 2 √

2

lebaT 93.5 isakolA helorepmeM kutnU isakolA nahabureP . )4 nakiabreP( lamitpO

naatnimreP narawaneP

D1 8 =

D 2 4 =

D 3 6 =

narawaneP

S1 0 =

8 07 04

5

6 05 08

021

S2 6 =

51

01 07

21 01

08

S3 = - 5

3 08

9

01

08

= muD - 51

0 03

0 0 03

03

naatnimreP

051

07

09

013

)4 nakiabrep( isatropsnart ayaib latoT

)0 x 03( + )3 x 08( + )21 x 01( + )01 x 07( + )6 x 08( + )8 x 04( = CT 0 + 042 + 021 + 007 + 084 + 023 = 068.1 =

tneneM molok ialin nad sirab ialin naku R 1S 0 = nautneteK

R 1S K + 1D C = 1D1S R 2S K + 2D C = 2D2S

K + 0 1D K 8 = 1D K + 6 8 = 2D K 01 = 2D 4 =

R 1S K + 3D C = 3D1S R 3S K + 1D C = 1D3S K + 0 3D K 6 = 3D R 6 = 3S R 3 = 8 + 3S = - 5

R 2S K + 3D C = 3D2S R uD K + 3D C = 3DUD R 2S R 21 = 6 + 2S R 6 = uD R 0 = 8 + UD = - 8

Page 27: Bab6 Transpor m

lebaT 04.5 nakiabreP skednI gnutihgneM .

tapmE igeS

C ji – Ri - Kj

nakiabreP skednI

S1D2 S2D1

S3D2

S3D3

DUD2

DUD3

5 – 0 – 4 51 – 6 – 8 9 – ( - 5 ) – 4

01 – )5 ( – 6 0 – ( - )8 – 4 0 – ( - )8 – 6

1 1

01 9 4 2

lebaT 14.5 isakolA helorepmeM kutnU isakolA nahabureP . )4 nakiabreP( lamitpO

naatnimreP narawaneP

D1 8 =

D 2 4 =

D 3 6 =

narawaneP

S1 0 =

8 04

5

6 08

021

S2 6 =

51

01 07

21 01

08

S3 = - 5

3 08

9

01

08

= muD - 8

0 03

0 0

03

naatnimreP

051

07

09

013

t ayaib latoT 068.1 = lamitpo isatropsnar

)MAV( EDOTEM NOITAMIXORPPA S’LEGOV .C

lebaT 24.5 aluM noituloS elbisaeF . - legoV edoteM irad aluM

naatnimreP narawaneP

D 1 D2 D3

naadebreP siraB narawaneP

S1

S2 S3

Du

6 5 8 21 01 51 01 9 3 0 0 0

1 021 2 08

08 6 0 03

naatnimreP moloK naadebreP

09 07 051 4 4 5

S nahiliP 3D 1 08 = S siraB nakgnaliH 3

lebaT 4.5 audeK pahaT noituloS elbisaeF .2

naatnimreP narawaneP

D 1 D2 D3

naadebreP siraB narawaneP

S1 S2 Du

6 5 8 21 01 51 0 0 0

1 021 2 08 0 03

naatnimreP moloK naadebreP

09 07 07 6 5 7

liP D nahi uD 1 03 = D siraB nakgnaliH u

Page 28: Bab6 Transpor m

lebaT 4.5 agiteK pahaT noituloS elbisaeF .3

naatnimreP narawaneP

D 1 D2 D3

naadebreP siraB narawaneP

S1 S2

5 8 6 21 01 51

1 021 2 08

naatnimreP moloK naadebreP

09 07 04 6 5 7

S nahiliP 1D 1 04 = D moloK nakgnaliH 1

lebaT 4.5 tapmeeK pahaT noituloS elbisaeF .4

naatnimreP narawaneP

D2 D3

naadebreP siraB narawaneP

S1 S2

6 5 21 01

1 08 2 08

naatnimreP moloK naadebreP

09 07 6 5

S nahiliP 1D 3 08 = S siraB nakgnaliH 1

lebaT 4.5 amileK pahaT noituloS elbisaeF .5

naatnimreP narawaneP

D2 D3

narawaneP

S2 21 01 08

naatnimreP

01 07

S nahiliP 2D 2 07 = S2D 3 01 =

lebaT 4.5 teM lamitpO isakolA skirtaM .6 legoV edo naatnimreP

narawaneP

D1

D 2

D 3

narawaneP

S1

8 04

5

6 08

021

S2

51

01 07

21 01

08

S3

3 08

9

01

08

uD

0 03

0 0

03

naatnimreP

051

07

09

013

:uata lamitpo isatropsnart ayaib latoT

8 x 04( = CT )0 x 03( + )3 x 08( + )21 x 01( + )01 x 07( + )6 x 08( + ) 0 + 042 + 021 + 007 + 084 + 023 = 068.1 =

Page 29: Bab6 Transpor m