Bangkitan dan tarikan pergerakan pada setiap zona

A/T 1 2 3 Oi

1 700

2 600

3 850

Dd 900 750 500 2150

Matriks Biaya ( Cid )

A/T 1 2 3

1 50 60 30

2 30 70 80

3 60 90 55

f ( Cid ) mengikuti model eksponensial dengan = 0.083

Cari dengan cara :

UCGR, PCGR, dan PACGR

Model tanpa - batasan (UCGR)

Matriks exp(-Cid)

Zona 1 2 3

1 0.015764 0.006874 0.082910

2 0.082910 0.002997 0.001307

3 0.006874 0.000570 0.010410

f (Cid) = e - Cid

MAT akhir hasil model UCGR

Zona 1 2 3 oi Oi Ei Ai

1 9931.6 3608.9 29018.5 42559.0 700 0.0164 1.0000

2 44771.4 1348.8 392.1 46512.3 600 0.0129 1.0000

3 5258.7 363.3 4424.2 10046.2 850 0.0846 1.0000

dd 59961.6 5321.1 33834.8 99117.5

Dd 900 750 500 2150

Ed 0.0150 0.1409 0.0148 0.0217

Bd 1.0000 1.0000 1.0000

Ai = 1 untuk seluruh i dan Bd = 1 untuk seluruh d

Agar dapat memenuhi persyaratan yang dibutuhkan, maka setiap sel Tid harus dimodifikasi kembali

dengan faktor sebesar 0.0217

MAT akhir hasil model UCGR setelah dimodifikasi

Zona 1 2 3 oi Oi Ei Ai

1 215 78 629 923 700 0.7583 1.0000

2 971 29 9 1009 600 0.5947 1.0000

3 114 8 96 218 850 3.9006 1.0000

dd 1301 115 734 2150

Dd 900 750 500 2150

Ed 0.6920 6.4979 0.6813 1.0000

Bd 1.0000 1.0000 1.0000

Tid = Oi .Ai .Bd .Dd .f(Cid)

Model dengan - batasan - bangkitan (PCGR)

Matriks [ Bd .Dd .exp(- Cid) ] dan nilai Ai

Zona [1] [2] [3] [4]=total [1]-[3] Ai=1/ [6]

1 14.1880 5.1555 41.4550 60.7985 0.0164

2 74.6190 2.2481 0.6535 77.5206 0.0129

3 6.1867 0.4274 5.2049 11.8190 0.0846

Bd 1.0000 1.0000 1.0000

MAT akhir hasil model PCGR

Zona 1 2 3 oi Oi Ei Ai

1 163 59 477 700 700 1.0000 0.0164

2 578 17 5 600 600 1.0000 0.0129

3 445 31 374 850 850 1.0000 0.0846

dd 1186 107 857 2150

Dd 900 750 500 2150

Ed 0.7590 6.9768 0.5837 1.0000

Bd 1.0000 1.0000 1.0000

Ai .Oi .Bd .Dd .exp(-Cid )

Dengan cara PACGR

Menghitung nilai Bd ( iterasi ke - 1 )

1 2 3

11.035092 4.811844 58.036977

49.745980 1.798458 0.784216

5.842953 0.484439 8.848397

66.624025 7.094741 67.669590

0.015010 0.140949 0.014778

Menghitung nilai Ai ( iterasi ke - 2 )

1 0.212956 0.726672 0.612609 1.552236 0.644232

2 1.120001 0.316865 0.009657 1.446523 0.691313

3 0.092859 0.060248 0.076917 0.230025 4.347362

Menghitung nilai Bd ( iterasi ke - 2 )

1 2 3

7.109157 3.099943 37.389268

34.390037 1.243297 0.542139

25.401435 2.106032 38.467191

66.900630 6.449272 76.398598

0.014948 0.155056 0.013089

Menghitung nilai Ai ( iterasi ke - 3 )

1 0.212075 0.799400 0.542614 1.554090 0.643464

2 1.115370 0.348578 0.008554 1.472502 0.679116

3 0.092475 0.066278 0.068129 0.226882 4.407573

Menghitung nilai Bd ( iterasi ke - 3)

1 2 3

7.100679 3.096246 37.344679

33.783304 1.221362 0.532574

25.753241 2.135200 38.999954

66.637224 6.452809 76.877208

0.015007 0.154971 0.013008

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Ai=1/[total]

Bd=1/[total]

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total Ai=1/[total]

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Zona d

Total

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total

Menghitung nilai Ai ( iterasi ke - 4 )

1 0.212914 0.798962 0.539236 1.551112 0.644699

2 1.119779 0.348387 0.008501 1.476667 0.677201

3 0.092841 0.066242 0.067705 0.226787 4.409418

Menghitung nilai Bd ( iterasi ke - 4 )

1 2 3

7.114311 3.102190 37.416375

33.688026 1.217918 0.531072

25.764020 2.136094 39.016279

66.566358 6.456202 76.963726

0.015023 0.154890 0.012993

Menghitung nilai Ai ( iterasi ke - 5 )

1 0.213140 0.798542 0.538630 1.550312 0.645031

2 1.120971 0.348204 0.008491 1.477666 0.676743

3 0.092940 0.066207 0.067628 0.226775 4.409653

Menghitung nilai Bd ( iterasi ke -5 )

1 2 3

7.117980 3.103790 37.435670

33.665241 1.217094 0.530713

25.765394 2.136208 39.018358

66.548614 6.457092 76.984741

0.015027 0.154868 0.012990

Menghitung nilai Ai ( iterasi ke - 6 )

1 0.213197 0.798432 0.538483 1.550112 0.645115

2 1.121270 0.348156 0.008489 1.477915 0.676629

3 0.092964 0.066198 0.067610 0.226772 4.409707

Menghitung nilai Bd ( iterasi ke -6 )

1 2 3

7.118900 3.104191 37.440506

33.659578 1.216889 0.530624

25.765712 2.136234 39.018841

66.544190 6.457315 76.989970

0.015028 0.154863 0.012989

Ai=1/[total]

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Ai=1/[total]

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total Ai=1/[total]

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total

Menghitung nilai Ai ( iterasi ke - 7 )

1 0.213211 0.798404 0.538447 1.550062 0.645135

2 1.121345 0.348144 0.008488 1.477976 0.676601

3 0.092971 0.066196 0.067605 0.226772 4.409721

Menghitung nilai Bd ( iterasi ke -7 )

1 2 3

7.119129 3.104291 37.441712

33.658167 1.216838 0.530601

25.765791 2.136241 39.018961

66.543088 6.457370 76.991274

0.015028 0.154862 0.012988

Menghitung nilai Ai ( iterasi ke - 8 )

1 0.213215 0.798397 0.538437 1.550050 0.645141

2 1.121363 0.348141 0.008488 1.477992 0.676594

3 0.092972 0.066195 0.067604 0.226772 4.409724

Menghitung nilai Bd ( iterasi ke -8 )

1 2 3

7.119186 3.104316 37.442013

33.657816 1.216825 0.530596

25.765811 2.136243 39.018990

66.542813 6.457384 76.991599

0.015028 0.154861 0.012988

Menghitung nilai Ai ( iterasi ke - 9 )

1 0.213216 0.798396 0.538435 1.550046 0.645142

2 1.121368 0.348140 0.008488 1.477996 0.676592

3 0.092973 0.066195 0.067604 0.226772 4.409725

Menghitung nilai Bd ( iterasi ke -9 )

1 2 3

7.119200 3.104322 37.442088

33.657728 1.216822 0.530594

25.765816 2.136243 39.018998

66.542744 6.457387 76.991680

0.015028 0.154861 0.012988

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total Ai=1/[total]

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

B1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total Ai=1/[total]

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total Ai=1/[total]

Zona i

Menghitung nilai Ai ( iterasi ke - 10 )

1 0.213216 0.798395 0.538435 1.550046 0.645142

2 1.121369 0.348140 0.008488 1.477997 0.676591

3 0.092973 0.066195 0.067604 0.226772 4.409725

Menghitung nilai Bd ( iterasi ke -10 )

1 2 3

7.119204 3.104324 37.442106

33.657706 1.216821 0.530594

25.765817 2.136243 39.019000

66.542727 6.457388 76.991700

0.015028 0.154861 0.012988

Menghitung nilai Ai ( iterasi ke - 11 )

1 0.213216 0.798395 0.538434 1.550046 0.645142

2 1.121369 0.348140 0.008488 1.477997 0.676591

3 0.092973 0.066195 0.067604 0.226772 4.409725

Menghitung nilai Bd ( iterasi ke -11 )

1 2 3

7.119205 3.104324 37.442111

33.657701 1.216821 0.530594

25.765817 2.136243 39.019000

66.542723 6.457388 76.991705

0.015028 0.154861 0.012988

Menghitung nilai Ai ( iterasi ke - 12 )

1 0.213216 0.798395 0.538434 1.550045 0.645142

2 1.121369 0.348140 0.008488 1.477997 0.676591

3 0.092973 0.066195 0.067604 0.226772 4.409725

Menghitung nilai Bd ( iterasi ke -12 )

1 2 3

7.119205 3.104324 37.442112

33.657699 1.216821 0.530594

25.765818 2.136243 39.019000

66.542722 6.457388 76.991706

0.015028 0.154861 0.012988

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total Ai=1/[total]

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total Ai=1/[total]

Zona d

A1.O1.exp(-C1d)

A2.O2 exp(-C1d)

A3.O3.exp(-C1d)

Total

Bd=1/[total]

Zona iB1.D1.exp(-

C11)

B2.D2.exp(-

c12)

B3.D3.exp(-

C13)Total Ai=1/[total]

Nilai Ai dan Bd yang didapat pada setiap pengulangan

A1 1.000000 0.644232 0.643464 0.644699 0.645031 0.645115

A2 1.000000 0.691313 0.679116 0.677201 0.676743 0.676629

A3 1.000000 4.347362 4.407573 4.409418 4.409653 4.409707

B1 0.015010 0.014948 0.015007 0.015023 0.015027 0.015028

B2 0.140949 0.155056 0.154971 0.154890 0.154868 0.154863

B3 0.014778 0.013089 0.013008 0.012993 0.012990 0.012989

A1 0.645135 0.645141 0.645142 0.645142 0.645142 0.645142

A2 0.676601 0.676594 0.676592 0.676591 0.676591 0.676591

A3 4.409721 4.409724 4.409725 4.409725 4.409725 4.409725

B1 0.015028 0.015028 0.015028 0.015028 0.015028 selesai

B2 0.154862 0.154861 0.154861 0.154861 0.154861 selesai

B3 0.012988 0.012988 0.012988 0.012988 0.012988 selesai

pengu-

langan1 2 3 4 5 6

pengu-

langan7 8 9 10 11 12