Peranc. Trans - Model Bangkitan Tarikan

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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