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Bab 4 Merancang Jaringan Supply Chain

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Page 1: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

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Page 2: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply ChainKonfigurasi I

G

G

G

G

P

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Page 3: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Konfigurasi II

PG

G

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Page 4: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Trade Off Biaya Dalam Merancang Jaringan SC :

1. Biaya Transportasi Inbound2. Biaya Transportasi Outbound3. Biaya Fasilitas4. Biaya Simpan5. Waktu Respon

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Page 5: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Beberapa Faktor Lingkungan Yang Harus Dipertimbangkan Dalam MerancangJaringan SC

• Faktor ekonomi makro• Faktor sosial Politik• Faktor Teknologi• Faktor Keamanan

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Page 6: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Model-Model Untuk Perancangan Jaringan SC

• Gravity Location Model• Model Lokasi dan Alokasi Dengan Batasan Kapasitas• Model Penentuan Lokasi dan Gudang Secara Simultan

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Page 7: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location ModelVariabel :

Ci : ongkos transportasi per unit per satuan jarak dari kandidat lokasi fasilitas (gudang ataupabrik) ke lokasi pasar i atau sumber pasokan i

Vi : volume barang yang harus dipindahkan dari fasilitas (gudang atau pabrik) ke lokasi pasar iatau sumber pasokan i.

(xi,yi) : koordinat lokasi pasar i atau sumber pasokan IJi : jarak antara lokasi fasiltas (pabrik atau gudang) ke lokasi pasar i atau sumber pasokan i

20

20 )()( iii yyxxj −+−=

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Page 8: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

TC =

Untuk menghitung lokasi fasilitas (x,y) yang optimal untuk minimasi ongkos TC, makadilakukan tiga langkah perhitungan

1. Hitung Jarak Ji2. Tentukan Koordinat lokasi

3. Apabila 2 iterasi yang berurutan menghasilkan koordinat yang hampir sama,maka iterasi sudah optimal

∑i

iii jVC

∑=

i

ion

jiCiVi

jiCiVixi

x∑

∑=

i

ion

jiCiVi

jiCiViyi

y

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Page 9: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location ModelContoh :Sebuah perusahaan mempunyai 6 distributor yang masing-masing memiliki gudang lokalyang dipasok langsung dari pabrik. Perusahaan ingin mendirikan sebuah gudang regionaluntuk memasok ke-6 gudang lokal distributor. Demand untuk setiap distributor sertakoordinat lokasi tiap distributor diberikan pada tabel di bawah ini. Tentukan koordinat lokasigudang regional harus dibangun sehingga total biaya distribusi menjadi minimal.

6

5

4

3

2

1

Distributor

2.1200315

1.740095

1.9150512

2.5200128

1.870064

1.510015

CiViYiXi

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Page 10: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

5, 1

4, 6

8, 12

12, 5

5, 9

15, 3

0

2

4

6

8

10

12

14

0 2 4 6 8 10 12 14 16

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Page 11: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

X0 0Y0

0X Y Xi Yi Ji Vi Ci ViCiXi/Ji ViCiYi/Ji ViCi/Ji

0 0 5 1 5.09902 100 1.5 147.0871 29.41742 29.417420 0 4 6 7.211103 700 1.8 698.9222 1048.383 174.73060 0 8 12 14.42221 200 2.5 277.3501 416.0251 34.668760 0 12 5 13 150 1.9 263.0769 109.6154 21.923080 0 5 9 10.29563 400 1.7 330.2372 594.4269 66.047440 0 15 3 15.29706 200 2.1 411.8439 82.36878 27.45626

2128.5 2280.2 354.2

X1 6.0Y1 6.4

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Page 12: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

X1 6.0Y1 6.4

X1 Y1 Xi Yi Ji Vi Ci ViCiXi/Ji ViCiYi/Ji ViCi/Ji6 6.4 5 1 5.491812 100 1.5 136.5669 27.31339 27.313396 6.4 4 6 2.039608 700 1.8 2471.063 3706.595 617.76586 6.4 8 12 5.946427 200 2.5 672.6728 1009.009 84.08416 6.4 12 5 6.161169 150 1.9 555.0895 231.2873 46.257466 6.4 5 9 2.785678 400 1.7 1220.529 2196.952 244.10586 6.4 15 3 9.620811 200 2.1 654.8305 130.9661 43.65536

5710.8 7302.1 1063.2

X2 5.4Y2 6.9

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Page 13: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

X2 5.4Y2 6.9

X2 Y2 Xi Yi Ji Vi Ci ViCiXi/Ji ViCiYi/Ji ViCi/Ji5.4 6.9 5 1 5.913544 100 1.5 126.8275 25.3655 25.36555.4 6.9 4 6 1.664332 700 1.8 3028.243 4542.364 757.06065.4 6.9 8 12 5.724509 200 2.5 698.7499 1048.125 87.343745.4 6.9 12 5 6.868042 150 1.9 497.9585 207.4827 41.496545.4 6.9 5 9 2.137756 400 1.7 1590.453 2862.815 318.09065.4 6.9 15 3 10.36195 200 2.1 607.9937 121.5987 40.53291

6550.2 8807.8 1269.9

X3 5.2Y3 6.9

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Page 14: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

X3 5.2Y3 6.9

X3 Y3 Xi Yi Ji Vi Ci ViCiXi/Ji ViCiYi/Ji ViCi/Ji5.2 6.9 5 1 5.903389 100 1.5 127.0457 25.40913 25.409135.2 6.9 4 6 1.5 700 1.8 3360 5040 8405.2 6.9 8 12 5.818075 200 2.5 687.5126 1031.269 85.939075.2 6.9 12 5 7.060453 150 1.9 484.3882 201.8284 40.365685.2 6.9 5 9 2.109502 400 1.7 1611.755 2901.158 322.35095.2 6.9 15 3 10.54751 200 2.1 597.2973 119.4595 39.81982

6868.0 9319.1 1353.9

X4 5.1Y4 6.9

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Page 15: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

X4 5.1Y4 6.9

X4 Y4 Xi Yi Ji Vi Ci ViCiXi/Ji ViCiYi/Ji ViCi/Ji5.1 6.9 5.0 1.0 5.9 100.0 1.5 127.1 25.4 25.45.1 6.9 4.0 6.0 1.4 700.0 1.8 3546.1 5319.2 886.55.1 6.9 8.0 12.0 5.9 200.0 2.5 681.8 1022.7 85.25.1 6.9 12.0 5.0 7.2 150.0 1.9 477.9 199.1 39.85.1 6.9 5.0 9.0 2.1 400.0 1.7 1617.2 2911.0 323.45.1 6.9 15.0 3.0 10.6 200.0 2.1 592.1 118.4 39.5

7042.2 9595.8 1399.9

X5 5.0Y5 6.9

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Page 16: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

X5 5.0Y5 6.9

X5 Y5 Xi Yi Ji Vi Ci ViCiXi/Ji ViCiYi/Ji ViCi/Ji5.0 6.9 5.0 1.0 5.9 100.0 1.5 127.1 25.4 25.45.0 6.9 4.0 6.0 1.3 700.0 1.8 3746.2 5619.3 936.65.0 6.9 8.0 12.0 5.9 200.0 2.5 676.0 1014.0 84.55.0 6.9 12.0 5.0 7.3 150.0 1.9 471.5 196.5 39.35.0 6.9 5.0 9.0 2.1 400.0 1.7 1619.0 2914.3 323.85.0 6.9 15.0 3.0 10.7 200.0 2.1 586.9 117.4 39.1

7226.8 9886.9 1448.7

X6 5.0Y6 6.8

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Page 17: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

X6 5.0Y6 6.8

X6 Y6 Xi Yi Ji Vi Ci ViCiXi/Ji ViCiYi/Ji ViCi/Ji5.0 6.8 5.0 1.0 5.8 100.0 1.5 129.3 25.9 25.95.0 6.8 4.0 6.0 1.3 700.0 1.8 3935.6 5903.4 983.95.0 6.8 8.0 12.0 6.0 200.0 2.5 666.3 999.4 83.35.0 6.8 12.0 5.0 7.2 150.0 1.9 473.2 197.2 39.45.0 6.8 5.0 9.0 2.2 400.0 1.7 1545.5 2781.8 309.15.0 6.8 15.0 3.0 10.7 200.0 2.1 588.9 117.8 39.3

7338.7 10025.4 1480.8

X7 5.0Y7 6.8

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Page 18: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Gravity Location Model

5, 1

4, 6

8, 12

12, 5

5, 9

15, 3

5, 6.8

0

2

4

6

8

10

12

14

0 2 4 6 8 10 12 14 16

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Page 19: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Penentuan lokasi dan alokasi dengan mempertimbangkan kapasitasFungsi Tujuan :

Batasan :

∑ ∑= =

+

n

i

m

jijijii xcyfMin

1 1

}1,0{

y1

i

1

∀≤

∀=

=

=

i

i

m

jiij

j

n

ijij

y

Kx

Dx

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Page 20: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Penentuan lokasi dan alokasi dengan mempertimbangkan kapasitasContoh :

17003000150018002000Permintaan

40001064715200Tangerang

400024121496180Gresik

32002518171210165Pasuruan

5000251615105250Surabaya

SSJKTJBJTGJTMFixedKapasitas

Biaya Transportasi dan Fixed Cost Dari Pabrik ke Lokasi PasarPabrik

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Page 21: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Penentuan lokasi dan alokasi dengan mempertimbangkan kapasitasContoh :

Surabaya 1 2000 0 0 0 0Pasuruan 0 0 0 0 0 0Gresik 1 0 1800 0 2200 0Tangerang 1 0 0 1500 800 1700

JKT SSPabrik Yi JTM JTG JB

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Page 22: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Model Penentuan Lokasi dan Gudang Secara Simultan

Kendala

∑ ∑∑ ∑ ∑ ∑ +++w j

wjwjiwi w i w

iwwwii xcxcyfyfMin

∑ ∑

=

=−

wjwj

jwwwj

i jwjiw

wiiiw

Dx

yKx

xx

yKx

0

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Page 23: Bab 4 Merancang Jaringan Supply Chain

Merancang Jaringan Supply Chain

Model Penentuan Lokasi dan Gudang Secara Simultan

P1

P2

P3P1

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