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Model Tanpa Batasan (UCGR)

Ki = 1 β = 0.0856165

Bi = 1

@ Bangkitan dan tarikan pergerakan pada setiap zona

Zona 1 2 3 4 5

1

2

3

4

5Dd 300 750 640 480 1330

n!or"asi "engenai aksesi#i$itas antarzona %ang dapat #er&pa 'ar

@ +atriks #ia%a ,-id

Zona 1 2 3 4 5

1 5 10 20 50 35

2 25 5 40 45 25

3 50 35 10 35 40

4 25 40 35 5 50

5 45 50 25 15 10

@

Zona 1 2 3 4 5

1 0.6517576 0.424788 0.180444/ 0.0138312 0.04//5776

2 0.1176063 0.6517576 0.0325603 0.0212215 0.11760632

3 0.0138312 0.04//578 0.424788 0.04//578 0.03256035

4 0.1176063 0.0325603 0.04//578 0.6517576 0.01383125

5 0.0212215 0.0138312 0.1176063 0.2768588 0.42478802

Dengan "engg&nakan persa"aan

 id = i . i . Bd . Dd . ,-id

perka$ian #erik&t di$ak&kan &nt&k setiap se$ "atriks &nt&k "endapatk

Dengan "enganggap !&ngsi *a"#atan "engik&ti !&ngsi ekspone

+atriks ep,β-id

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 11 = K1. 1. B1. ep

 12 = K1. 1. B2. ep

 13 = K1. 1. B3. ep

 14 = K1. 1. B4. ep

 15 = K1. 1. B5. ep

 21 = K2. 2. B1. ep

 22 = K2. 2. B2. ep

 23 = K2. 2. B3. ep

 24 = K2. 2. B4. ep

 25 = K2. 2. B5. ep

 31 = K3. 3. B1. ep

 32 = K3. 3. B2. ep

 3 = K3. 3. B3. ep

 34 = K3. 3. B4. ep 35 = K3. 3. B5. ep

 41 = K4. 4. B1. ep

 42 = K4. 4. B2. ep

 43 = K4. 4. B3. ep

 44 = K4. 4. B4. ep

 45 = K4. 4. B5. ep

 51 = K5. 5. B1. ep

 52 = K5. 5. B2. ep

 53 = K5. 5. B3. ep

 54 = K5. 5. B4. ep

 55 = K5. 5. B5. ep

@ + ak*ir *asi$ "ode$ -

Zona 1 2 3 4 5

1 /7763.6 15/2/5.5 57742.4 331/.5 33221./

2 10584.6 146645.5 6251.6 3055./ 46/24./

3 3630.7 32784.8 237881.3 20/82.3 378/2.1

4 47630.6 32/67.4 43163.5 42233/.0 24834.0

5 3024.1 4/27.4 35752.3 63123.8 26835/.8

dd 162633.5 376620.5 3807/1.1 512820.4 411232.8

Dd 300 750 640 480 1330

9d 0.0018 0.0020 0.0017 0.000/ 0.0032

Bd 1.0000 1.0000 1.0000 1.0000 1.0000

,β-11

,β-12

,β-13

,β-14

,β-15

,β-21

,β-22

,β-23

,β-24

,β-25

,β-31

,β-32

,β-33

,β-34,β-35

,β-41

,β-42

,β-43

,β-44

,β-45

,β-51

,β-52

,β-53

,β-54

,β-55

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@ + ak*ir *asi$ "ode$ - sete$a* "odi:kasi

Zona 1 2 3 4 5

1 186 302 110 6 63

2 20 278 12 6 8/

3 7 62 451 40 724 /0 63 82 802 47

5 6 / 68 120 50/

dd 30/ 715 723 /73 780

Dd 300 750 640 480 1330

9d 0./71/ 1.04/2 0.8855 0.4/32 1.7040

Bd 1.0000 1.0000 1.0000 1.0000 1.0000

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i

500

300

875

1350

4753500

  ak( )akt& te"p&*( dan #ia%a per'a$anan antarzona

n "atriks ak*ir

nsia$negati!( didapat "atriks ep,β-id( dengan "enganggap ni$ai β = 0.0856165

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= 1.0 500 1.0 300

= 1.0 500 1.0 750

= 1.0 500 1.0 640

= 1.0 500 1.0 480

= 1.0 500 1.0 1330

= 1.0 300 1.0 300

= 1.0 300 1.0 750

= 1.0 300 1.0 640

= 1.0 300 1.0 480

= 1.0 300 1.0 1330

= 1.0 875 1.0 300

= 1.0 875 1.0 750

= 1.0 875 1.0 640

= 1.0 875 1.0 480= 1.0 875 1.0 1330

= 1.0 1350 1.0 300

= 1.0 1350 1.0 750

= 1.0 1350 1.0 640

= 1.0 1350 1.0 480

= 1.0 1350 1.0 1330

= 1.0 475 1.0 300

= 1.0 475 1.0 750

= 1.0 475 1.0 640

= 1.0 475 1.0 480

= 1.0 475 1.0 1330

oi i 9i Ki

351342./ 500 0.0014 1.0000

213462.4 300 0.0014 1.0000

333171.1 875 0.0026 1.0000

570/34.4 1350 0.0024 1.0000

375187.4 475 0.0013 1.0000

18440/8.3

3500

0.001/

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oi i 9i Ki

667 500 0.74/8 1.0000

405 300 0.7405 1.0000

632 875 1.3837 1.00001084 1350 1.2458 1.0000

712 475 0.6671 1.0000

3500

3500

1.0000

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0.651758 = /7763.6

0.424788 = 15/2/5.5

0.180445 = 57742.4

0.013831 = 331/.5

0.04//58 = 33221./

0.117606 = 10584.6

0.651758 = 146645.5

0.03256 = 6251.6

0.021221 = 3055./

0.117606 = 46/24./

0.013831 = 3630.7

0.04//58 = 32784.8

0.424788 = 237881.3

0.04//58 = 20/82.3 0.03256 = 378/2.1

0.117606 = 47630.6

0.03256 = 32/67.4

0.04//58 = 43163.5

0.651758 = 42233/.0

0.013831 = 24834.0

0.021221 = 3024.1

0.013831 = 4/27.4

0.117606 = 35752.3

0.27685/ = 63123.8

0.424788 = 26835/.8

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Model dengan batasan bangkit

Bd = 1

@ Bangkitan dan tarikan pergerakan pada

Zona 1

1

2

3

4

5

Dd 300

n!or"asi "engenai aksesi#i$itas antar

@ +atriks #ia%a ,-id

Zona 1

1 5

2 25

3 50

4 25

5 45

Dengan "enganggap !&ngsi *a"#atan

@ +atriks ep,β-id

Zona 1

1 0.6517576426

2 0.1176063204

3 0.0138312466

4 0.1176063204

5 0.0212214567

Konstanta Ki di*it&ng ses&ai persa"aan

Ki = 1

;24< =1( ^    . . (  

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Konstanta ini "e"#erikan #atasan #a*)a tota$ >#

1 =

? B1 . D1. ep,β11 A

2 =

? B1 . D1. ep,β21 A

3 =

? B1 . D1. ep,β31 A

4 =

? B1 . D1. ep,β41 A

5 =

? B1 . D1. ep,β51 A

@

Zona ?1

1 1/5.5273

2 35.281/

3 4.14/4

4 35.281/

5 6.3664

Bd 1.0000

Cete$a* "eng*it&ng ni$ai Ki &nt&k setiap ( setiap

 id =

se*ingga "eng*asi$kan "atriks ak*ir.

 11 = K1.

 12 = K1.

 13 = K1.

 14 = K1.

 15 = K1.

 21 = K2.

 22 = K2.

 23 = K2.

 24 = K2.

 25 = K2.

+atriks ? Bd. Dd. 9p ,β-id

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 31 = K3.

 32 = K3.

 3 = K3.

 34 = K3.

 35 = K3.

 41 = K4. 42 = K4.

 43 = K4.

 44 = K4.

 45 = K4.

 51 = K5.

 52 = K5.

 53 = K5.

 54 = K5.

 55 = K5.

@ + ak*ir *asi$ "ode$ -

Zona 1

1 13/

2 15

3 10

4 113

5 4

dd 281

Dd 300

9d 1.0676

Bd 1.0000

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an (PCGR)

setiap zona

2 3 4

750 640 480

ona %ang dapat #er&pa 'arak( )akt& te"p&*( dan #ia%a per'a$anan antarzona

2 3 4

10 20 50

5 40 45

35 10 35

40 35 5

50 25 15

 "engik&ti !&ngsi eksponensia$negati!( didapat "atriks ep,β-id( dengan "eng

2 3 4

0.4247880247 0.180444865/ 0.0138312466

0.6517576426 0.03256034/6 0.0212214567

0.04//577565 0.4247880247 0.04//577565

0.03256034/6 0.04//577565 0.6517576426

0.0138312466 0.1176063204 0.2768588415

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ris> dari "atriks *ar&s sa"a dengan tota$ >#aris> dari "atriks *asi$ ta*ap #angkit

1

B2 . D2 . ep,β12 A B3 . D3 . ep,β13 A B4 . D4 . ep,β14 A

1

B2 . D2 . ep,β22 A B3 . D3 . ep,β23 A B4 . D4 . ep,β24 A

1

B2 . D2 . ep,β32 A B3 . D3 . ep,β33 A B4 . D4 . ep,β34 A

1

B2 . D2 . ep,β42 A B3 . D3 . ep,β43 A B4 . D4 . ep,β44 A

1

B2 . D2 . ep,β52 A B3 . D3 . ep,β53 A B4 . D4 . ep,β54 A

?2 ?3 ?4

318.5/10 115.4847 6.63/0

488.8182 20.8386 10.1863

37.4683 271.8643 23./7/7

24.4203 31./730 312.8437

10.3734 75.2680 132.8/22

1.0000 1.0000 1.0000

e$ "atriks dapat di*it&ng dengan "engg&nakan persa"aan

i . Ki . Bd . Dd . ,-id

1. B1. ep

1. B2. ep

1. B3. ep

1. B4. ep

1. B5. ep

2. B1. ep

2. B2. ep

2. B3. ep

2. B4. ep

2. B5. ep

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5 i

500

300

875

1350

475

1330 3500

5

35

25

40

50

10

anggap ni$ai β = 0.0856165

5

0.04//577565

0.1176063204

0.03256034/6

0.0138312466

0.4247880247

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n pergerakan.

B5 . D5 . ep,β15

B5 . D5 . ep,β25

B5 . D5 . ep,β35

B5 . D5 . ep,β45

B5 . D5 . ep,β55

?5 ?6 = ota$ ?1 ?5 Ki = 1E?6

66.4438 702.6858 0.001423

156.4164 711.5415 0.001405

43.3053 380.7670 0.002626

18.3/56 422./143 0.002365

564./681 78/.8682 0.001266

1.0000

,β-11 = 0.001423 500

,β-12 = 0.001423 500

,β-13 = 0.001423 500

,β-14 = 0.001423 500

,β-15 = 0.001423 500

,β-21 = 0.001405 300

,β-22 = 0.001405 300

,β-23 = 0.001405 300

,β-24 = 0.001405 300

,β-25 = 0.001405 300

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,β-31 = 0.002626 875

,β-32 = 0.002626 875

,β-33 = 0.002626 875

,β-34 = 0.002626 875

,β-35 = 0.002626 875

,β-41 = 0.002365 1350,β-42 = 0.002365 1350

,β-43 = 0.002365 1350

,β-44 = 0.002365 1350

,β-45 = 0.002365 1350

,β-51 = 0.001266 475

,β-52 = 0.001266 475

,β-53 = 0.001266 475

,β-54 = 0.001266 475

,β-55 = 0.001266 475

5 oi i 9i Ki

47 500 500 1.0000 0.001423

66 300 300 1.0000 0.001405

100 876 875 1.0000 0.002626

5/ 1351 1350 1.0000 0.002365

340 475 475 1.0000 0.001266

612 3502

1330 3500

2.1732 0.///42/

1.0000

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1.0 300 0.651758 = 13/

1.0 750 0.424788 = 227

1.0 640 0.180445 = 82

1.0 480 0.013831 = 5

1.0 1330 0.04//58 = 47

1.0 300 0.117606 = 15

1.0 750 0.651758 = 206

1.0 640 0.03256 = /

1.0 480 0.021221 = 4

1.0 1330 0.117606 = 66

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1.0 300 0.013831 = 10

1.0 750 0.04//58 = 86

1.0 640 0.424788 = 625

1.0 480 0.04//58 = 55

1.0 1330 0.03256 = 100

1.0 300 0.117606 = 113 1.0 750 0.03256 = 78

1.0 640 0.04//58 = 102

1.0 480 0.651758 = ///

1.0 1330 0.013831 = 5/

1.0 300 0.021221 = 4

1.0 750 0.013831 = 6

1.0 640 0.117606 = 45

1.0 480 0.27685/ = 80

1.0 1330 0.424788 = 340