59
Lampiran 1: Tabcl Data Permintaan Produk 78 Periode Januari 1996 Februari 1996 Maret 1996 April 1996 Mei 1996 Juni 1996 Juli 1996 Agustus 1996 September 1996 Oktober 1996 November 1996 Desember 1996 Januari 1997 Februari 1997 Maret 1997 April 1997 Mci 1997 Juni 1997 Juli 1997 Agustus 1997 September 1997 Oktober 1997 November 1997 Desember 1997 Santiago Arm Chair 95 112 77 20 82 65 85 92 220 93 174 25 105 136 67 56 125 265 98 187 85 171 75 58 SantiagoTable 55 121 62 49 35 30 44 89 50 63 89 55 44 124 52 59 85 70 35 130 24 130 37 32 LB3 192 54 121 83 143 110 176 115 240. 177 126 199 245 219 324 87 243 76 120 68 86 210 69 89 LB5 212 605 679 721 455 347 125 462 679 532 398 617 317 286 623 642 467 321 519 486 317 477 196 262

Lampiran 1

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Lampiran 1: Tabcl Data Permintaan Produk

78

PeriodeJanuari 1996Februari 1996

Maret 1996April 1996

Mei 1996Juni 1996Juli 1996Agustus 1996September 1996Oktober 1996November 1996

Desember 1996

Januari 1997

Februari 1997

Maret 1997

April 1997

Mci 1997

Juni 1997

Juli 1997

Agustus 1997

September 1997Oktober 1997

November 1997

Desember 1997

Santiago Arm Chair951127720

826585

9222093

174

25

105

136

67

56

125

265

98

187

85171

75

58

SantiagoTable551216249

353044

8950

63

89

55

44

124

52

59

85

70

35

130

24

130

37

32

LB31925412183

143110176

115240.

177126

199

245

219

324

87

243

76

120

68

86

210

69

89

LB5

212605679721

455347125

462679

532

398

617

317

286

623

642

467

321

519

486

317

477

196

262

79

Lampiran 2 : Graflk Permintaan-Peramalan Produk Santiago Ann Chair danSantiago Table

cDT3

a

Q

300

Santiago Arm Chair

Waktu( Bulan )

Perminlaan

Peramalan

Gambar Graflk Pcrmintaan-Peramalan Produk Santiago Arm Chair

Q

Santiago Table

Waktu( Bulan )

Permintaan

Peramalan

Gambar Graflk Pcrmintaan-Peramalan Produk Santiago Table

80

Lampiran 3 : Grafik Permintaan-Peramalan Produk LB 3 dan LB 5

LB 3

cDT3c03

Q

400

300

200

100

Waktu( Bulan )

Permintaan

Peramalan ji

Gambar Grafik Permintaan-Peramalan Produk LB 3

LB 5

800

co

Waktu( Bulan)

Permintaan

Peramalan

Gambar Graflk Permintaan-Pcramalan Produk LB 5

81

Lampiran 4 : Peramalan Produk Santiago Arm Chair Dengan Bantuan SoftwareQSB+

Period I Act. Demand

12345678910111213141516

MAD =

1 +95.0000+112.000+77.0000+20.0000+82.0000+65.0000+85.0000+92.0000+220.000+93.0000+174.000+25.0000+105.000+136.000+67.0000+56.0000

Winter's model

1 F(t)

+94.2222+94.1032+97.2399+93.2410+117.327+119.663+118.311+114.937

1

11111

11

1

35.9381 MSE = 2070 Bias

Period I Act. Demand

17181920212223242526272829303132

MAD =

for Santiago Arm Chair

T(t)/W(t)I I(t)

00000000

=

Winter's model

F(t)

+125.000 I +115.722+265.000+98.0000+187.000+85.0000+171.000+75.0000+58.0000

35.9381 MSE

Period|Act. Demand

3334 I3536 I

MAD =

111

35.9381 MSE

+115.588+114.573+114.543+120.251+127.202+123.775+122.176

= 2070 Bias

1 +1.00825+1.18868

1 +.817217+.212264

I +.870283+.689859

1 +.902123+.976415+2.33491+.993271+1.63921+.405396+.724270+1.06996+.597194+.590950

-6.26024 a = 0.060 b

for Santiago Arm Chair

T(t)/W(t)| I(t) |

00000000

=

Winter's model

F(t)

= 2070 Bias

+1.05424+2.30320+.889833+1.63424+.631492+1.18931+.721944+.505342

-6.26024 a = 0.060 b

for Santiago Arm Chair

T(t)/W(t)| I(t) I

=

1 11

1 1

-6.26024 a = 0.060 b

Forecast

+95.0000+111.859+79.4661+19.7917+102.107+82.5507+106.731

= 0.000

Forecast

+112.226+270.199+114.810+187.809+46.4352+87.0939+136.101+73.9178+72.1998+128.803+281.395+108.716+199.664+77.1531+145.305+88.2042

= 0.000

Forecast

+61.7407+72.1998+128.803+281.395

= 0.000

1

c

1

c

1

1111

c

Page: 1

Error 1

+2.00000 I-62.1415 I+54.4661 I-85.2083 I-33.8927 |+15.5507 |+50.7307 |

= 0.750 I

Page: 2 I

Error I

-12.7742 I+5.19888 I+16.8102 I+.808624 |-38.5648 I-83.9061 I+61.1010 I+15.9178 I

= 0.750 I

Page: 3 |

Error |

= 0.750 I

82

Lampiran 5 : Peramalan Produk Santiago Table Dengan Bantuan Software QSB+

Winter's

|Period|Act. Demandl F(t)

I 11 21 31 41 51 61 71 81 91 101 111 121 131 141 151 16

MAD =

1111111111111111

22

+55.+121+ 62.

+ 49.+35.+ 30.+44.+89.+ 50.+ 63.+89.+ 55.+ 44.+ 124+ 52.+ 59.

4532

0000.0000000

000000000000

0000000000000000000000000000

.00000000000

MSE =

1 Period I Act. Demand

1 171 181 191 201 211 221 231 241 251 261 271 281 291 301 311 32

MAD = 22

+85.

+70.

+35.

+ 130+24.

+ 130+37.

+ 32.

4532

0000

0000

0000

.0000000

.000

00000000

MSE =

1 Period I Act. Demand

1 331 341 351 36

MAD =1

1

11

22 4532 MSE =

1

1

1+58.6667

+58.5493+58.3954+58.2845+58.4560

+59.3632+59.8451+59.8180+60.0057

+59.9981+59.9581

model for Santiago Table

T(t)/W(t)|

01 0

000000000 •

= 881.175 Bias = -2.01639

Winter's

F(t)

+59.9618

+60.1592

+60.0312

+60.0752+59.7511

+60.4654

+60.1219

+59.8026

Kt)

+.937500+2.06250+1.05682+.835227+.596591+.511364+.770103+1.57793+.877756+1.05348+1.40898+.878271+.739018+2.01762+.867801+.990966

Forecast

+55.0000+120.758+61.7133+48.6808+34.8743+30.3562+46.0869+94.3889+52.6704+63.2070

a = 0.010 b = 0.000

model for Santiago Table

T(t)/W(t)|

00000000

= 881.175 Bias = -2.01639

Winter's

F(t)

Kt)

+1.41671+1.13505+.598629+2.14932+.448280+2.03409+.695545+.595089

a = 0.01C

Forecast

+84.4798+52.6628+44.4587+121.120+52.1334+59.2113+85.6619+68.2413+35.7996+128.535+26.8083+121.644+41.5954+35.5879+35.7996+128.535

) b = 0.000

model for Santiago Table

T(t)/W(t) I

1111

881.175 Bias = -2.01639

Kt)

a = 0.01C

Forecast

+26.8083+121.644+41.5954+35.5879

b = 0.000

Page: 1

Error

+11.0000 I+31.7580 I+11.7133 |-14.3192 I-54.1257 I-24.6438 I+2.08690-29.6111 |+.670387 |+4.20698 I

c = 0.900 I

Page: 2 I

Error 1

-.520210-17.3372 |+9.4587 |

-8.87996 |+28.1334 |-70.7887 |+48.6619 I+36.2413 |

1

c = 0.900 I

Page: 3 |

Error |

c = 0.900 |

83

Lampiran 6 : Peramalan Produk LB 3 Dengan Bantuan Software QSBf

Winter's model for LB 3 Page: 1 I

IPeriodlAct. Demand

| 12

1 31 41 51 61 71 81 91 101 111 121 13

141 15

16

MAD =

r* — _._ —+192.000+54.0000+121.000+83.0000+143.000

+110.000+176.000+115.000

+240.000+177.000+126.000+199.000+245.000

+219.000+324.000

+87.0000

F(t)

— —

+123.000+115.723+121.648+123.511+138.273+150.083+164.838

+181.839+209.637+214.876+229.108

+243.439+260.929+285.576+277.487

53.6287 MSE = 5635 Bias

PeriodlAct. Demand

17181920212223242526272829303132

MAD =

+243.000+76.0000

+120.000

+68.0000

+86.0000

+210.000

+69.0000

+89.0000

53.6287 MSE

PeriodlAct. Demand

33343536 |

1

1

Winter

F(t)

+264.547

+231.530

+186.813+141.752

+97.3211+112.898

+118.122

+117.634

1

= 5635 Bias

Winter

F(t)

1

1

T(t)/W(t)

0-6.91362+5.28388+2.03356+14.1255+11.9263+14.6128+16.8825+27.2517+6.33985+13.8370+14.3064+17.3312+24.2814-6.47068

= 13.5521

1s model

T(t)/W(t)

-12.6165-31.9972-44.0812-45.0123-44.4595+12.5747+5.59232-.184201

= 13.5521

1

a

Cor

a

1s model for

T(t)/W(t)

I(t)

+1.56098+.439024+1.35483+.536332+1.27601+.640011+1.23468+.663069+1.26875+.735568+.995802+.788776+1.00005+.808989+1.05385+.610805

= 0.160

LB 3

I(t)

+.999728+.497783+.856779+.490555+.867536+1.03837+.754178+.925655

= 0.160

LB 3

Kt)

1

b

b

Forecast

+192.000+47.7698+171.971+67.3335+194.462+103.688+221.564+131.766+300.552+162.719+241.925+203.303+278.273+250.671

1 Error

+71.0000 I-35.2302 I+28.9712 I-42.6665 I+18.4622 1-11.3121 I-18.4361 I-45.2336 |+174.552 I-36.2805 1-3.07526 I-15.6968 I-45.7267 |+163.671 |

= 0.950 c = 0.400 I

Forecast

+285.610+153.880+199.479+71.0494+82.8841+25.9315+108.852+128.462+88.5781+108.548+88.3003+108.207+88.0225+107.866+87.7446+107.525

= 0.950 c

Forecast, 1

+87.4668+107.184+87.1889+106.843

Page: 2 1

Error I

+42.6099 I+77.8805 1+79.4787 |+3.04941 I-3.11594 |-184.069 I+39.8517 |+39.4617 |

: = 0.400 I

Page: 3 |

Error I

MAD = 53.6287 MSE = 5635 Bias = 13.5521 a = 0.160 b = 0.950 c 0.400

84

Lampiran 7 : Peramalan Produk LB 5 Dengan Bantuan Software QSBH

11 Winter

IPeriodlAct. Demand| F(t) I

1111111111111111

11

1

1234b678910111213141516

MAD =

I +212.000+605.000

I +679.000+721.000

I +455.000+347.000

1 +125.000+462.000+679.000+532.000+398.000+617.000+317.000+286.000+623.000+642.000

1

+503.167I +501.102

+499.013+497.619+494.944+492.428+494.247+497.476+496.274+496.047+495.903

143.408 MSE = 32099 Bias

|Period|Act. Demand

1111111111111111

1111

1

1

-

17181920212223242526272829303132

MAD =

+467.000+321.000+519.000+486.000+317.000+477.000+196.000+262.000

143.408 MSE

?eriod|Act. Demand

33343536

MAD = 143.408 MSE

Winter

F(t) I

+496.199+495.070+501.198+503.747+503.603+503.501+501.331+499.020

- = 32099 Bias

Winter

F(t)

1

1

= 32099 Bias

's model for

T(t)/W(t)I

0-.929183-1.45088-1.42564-1.98781-2.22550-.405340+1.23021+.135745-.027513-.080075

= 59.5784

's model for

T(t)/W(t) I

+.089168-.459075+2.50516+2.52500+1.32374+.682354-.601198-1.37071

= 59.5784

1s model for

T(t)/W(t) I

1111

= 59.5784

LB 5

Kt)

+.421332+1.20238+1.34945+1.43292+.904273+.689632+.369767+1.11942+1.35397+1.32551+.875463+.857252+.450002+.956481+1.32456+1.31624

a = 0.010

LB 5

Kt)

+.895171+.794594+.625657+.958967+1.11603+1.20558+.743907+.713725

a = 0.010

LB 5

Kt)

a = 0.010

Forecast

1 +212.000+601.400+671.437+711.007+445.767+338.059+182.606+558.261+672.123+657.478

b = 0.450

Forecast

+434.075+425.444+222.576+481.782+670.586+664.603+451.330+397.877+311.358+475.915+552.331+594.997+366.126+350.293+306.212+468.028

b = 0.450

Forecast

+543.153+585.082+360.008+344.423

b = 0.450

1

c

c

c

Page: 1

Error

+87.0000 I+139.400 I-7.56262 I+179.007 |+47.7666 |-278.941 I-134.394 I+272.261 I+49.1227 |+15.4781 I

= 0.300 I

Page: 2 1

Error |

-32.9254 |+104.444 |-296.424 I-4.21790 1+353.586 |+187.603 I+255.330 |+135.877 |

=0.300 1

Page: 3 I

Error I

= 0.300 I

85

Lampiran 8 : Alternatif Pola Pemotongan Bahan Baku Rotan Diameter 34/36 mm

P/T6265100105Sisa

1000525

2001430

302040

411043

520046

6002335

702135

811138

9201311

10030340

11120343

12210346

13300349

14003240

15022210

16112213

17202216

18031245

191

21248

20211251

P/T6265100105Sisa

21301254

22050215

23140218

24230221

25320224

26410227

27500230

28004145

29023115

30113118

31203115

32032150

33122153

34212156

35302159

36051120

37141123

38231126

39321129

40411132

P/T6265100105Sisa

415011

35

42060155

43150158

44240161

4543012

4652015

4761018

48700111

49005050

50024020

51114023

52204026

53033055

54123058

55213061

5640302

57052025

58142028

59232031

60322034

P/T6265100105Sisa

61412037

62502040

63061060

6425101

6534104

6643107

67521010

68611013

69701016

70080030

71170033

72260036

73350039

74440042

75530Q45

76620048

7771005

78800054

Kelerangan :

P = Panjang rotan yang diperlukan ( cm )

T = Teknik pemotongan

Sisa = Panjangnya rotan setelah mengalami pemotongan ( cm ).

Berdasarkan teknik pemotongan bahan baku, maka dapat disusun model integer

programming sebagai berikut:

86

Tujuan : Min Z : 25x1 + 30x2 + 0x3 + 3x4 + 6x5 + 35x6 + 5x7 + 8 x 8 + 1 1 x 9 +

40x10 + 43x11 + 46x12 + 49x13 + 40x14 + 10x15 + 13x16 +

16x17 + 45x18 + 48x19 + 51x20 + 54x21 + 15x22 + 18x23 +

21x24 + 24x25 + 27x26 + 30x27 + 45x28 + 15x29 + 18x30 +

15x31 + 50x32 + 53x33 + 56x34 + 59x35 + 20x36 + 23x37 +

26x38 + 29x39 + 32x40 + 35x41 + 55x42 + 58x43 + 61x44 + 2x45

+ 5x46 + 8x47 + 11x48 + 50x49 + 20x50 + 23x51 + 26x52 + 55x53

+ 58x54 + 61x55 + 2x56 + 25x57 + 28x58 + 31x59 + 34x60 +

37x61 + 40x62 + 60x63 + 1x64 + 4x65 + 7x66 i 10x67 + 13x68 +

16x69 + 30x70 + 33x71 + 36x72 + 39x73 + 42x74 + 45x75 +

48x76 + 51x77 + 54x78

Dengan konstrain :

1. Oxl +0x2 + 0x3 + 1x4 + 2x5 + 0x6 + 0x7+ 1x8 + 2x9 + 0x10+ Ixii + 2x12 +

3x13 + 0x14 + 0x15+ 1x16 + 2x17 + 0x18+ 1x19 + 2x20 + 3x21 +0x22+ 1x23

+ 2x24 + 3x25 + 4x26 + 5x27 + 0x28 + 0x29 + 1x30 + 2x31 + 0x32 + 1x33 +

2x34 + 3x35 + 0x36 + 1x37 + 2x38 + 3x39 + 4x40 + 5x41 + 0x42 + 1x43 + 2x44

+ 4x45 + 5x46 + 6x47 + 7x48 + 0x49 + 0x50 + 1x51 + 2x52 + 0x53 + 1x54 +

2x55 + 4x56 + 0x57 + 1x58 + 2x59 + 3x60 + 4x61 + 5x62 + 0x63 + 2x64 + 3x65

+ 4x66 + 5x67 + 6x68 + 7x69 + 0x70 + 1x71 + 2x72 + 3x73 + 4x74 + 5x75 +

6x76 + 7x77+ 8x78 > b l .

2. Oxl + 0x2 + 2x3+ 1x4 + 0x5 + 0x6 + 2x7+ 1x8 + 0x9+ 3x10 + 2x11 + 1x12 +

0x13 + 0x14 + 2x15 + 1x16 + 0x17 + 3x18 + 2x19 + 1x20 + 0x21 + 5x22 + 4x23

+ 3x24 + 2x25 + 1x26 + 0x27 + 0x28 + 2x29 + 1x30 + 1x31 + 3x32 + 2x33 +

1x34 + 0x35 + 5x36 + 4x37 + 3x38 + 2x39 + 1x40 + 0x41 + 6x42 + 5x43 + 4x44

87

+ 3x45 + 2x46 + 1x47 + 0x48 + 0x49 + 2x50 + 1x51 + 0x52 + 3x53 + 2x54 +

1x55 + 0x56 + 5x57 + 4x58 + 3x59 + 2x60 + 1x61 + 0x62 + 6x63 + 5x64 + 4x65

+ 3x66 + 2x67 + 1x68 + 0x69 + 8x70 + 7x71 + 6x72 + 5x73 + 4x74 + 3x75 +

2x76+ 1x77 +0x78 >b2.

3. 0x1+2x2 + 0x3 + 0x4 + 0x5 + 2x6+ 1x7+ 1x8 + 1x9 + 0x10+ Oxll + 0x12 +

0x13 + 3x14 + 2x15 + 2X16+ 2x17+ 1x18+ 1x19+ 1x20 + 1x21 + 0x22 + 0x23

+ 0x24 + 0x25 + 0x26 + 0x27 + 4x28 + 3x29 + 3x30 + 3x3 1 + 2x32 + 2x33 +

2x34 + 2x35 + 1x36 + 1x37 + 1x38 + 1x39 + 1x40 + 1x41 + 0x42 + 0x43 + 0x44

+ 0x45 + 0x46 + 0x47 + 0x48 + 5x49 + 4x50 + 4x51 + 4x52 + 3x53 + 3x54 +

3x55 + 3x56 + 2x57 + 2x58 + 2x59 + 2x60 + 2x61 + 2x62 + 1x63 + 1x64 + 1x65

+ 1x66 + 1x67 + 1x68 + 1x69 + 0x70 + 0x71 + 0x72 + 0x73 + 0x74 + 0x75 +

0x76 + 0x77 + 0x78 > b3.

4. 5x1 + 4x2 + 4x3 + 4x4 + 4x5 + 3x6 + 3x7 + 3x8 + 3x9 + 3x10 + 3x11 + 3x12 +

3x13 + 2x14 + 2x15 + 2x16 + 2x17 + 2x18 + 2x19 + 2x20 + 2x21 + 2x22 + 2x23

+ 2x24 + 2x25 + 2x26 + 2x27 + 1x28 + 1x29 + 1x30 + 1x31 + 1x32 + 1x33 +

1x34+ 1x35+ 1x36+ 1x37+ 1x38+ 1x39+ 1x40+ 1x41+ 1x42+ 1x43+ 1x44

+ 1x45 + 1x46 + 1x47 + 1x48 + 0x49 + 0x50 +0x51 + 0x52 + 0x53 + 0x54 +

0x55 + 0x56 + 0x57 + 0x58 + 0x59 + 0x60 + 0x61 + 0x62 + 0x63 + 0x64 + 0x65

+ 0x66 + 0x67 + 0x68 + 0x69 + 0x70 + 0x71 + 0x72 + 0x73 + 0x74 + 0x75 +

0x76 + 0x77 + 0x78 > b4.

Keterangan :

Xi •= Jumlah pemotongan pada ke i

Bl = Banyaknya batang rotan yang diperlukan untuk panjang 62 cm.

88

B2 = Banyaknya batang rotan yang diperlukan untuk panjang 65 cm.

B3 = Banyaknya batang rotan yang diperlukan untuk panjang 100 cm.

B4 = Banyaknya batang rotan yang diperlukan untuk panjang 105 cm.

89

Lampiran 9 : Alternatif Pola Pcmotongan Bahan Baku Rotan Diameter 32/34 mm

P/T425093100Sisa

101050

210058

301147

403040

512048

6210416

7300424

8012314

9102322

1003137

11121315

12211323

13301331

1405030

1514038

16230316

17320324

18410332

19500340

20013221

P/T425093100Sisa

21103229

22032214

23122222

24212230

25302238

2605127

27141215

28231223

29321231

30411239

3160125

3207020

3316028

34250216

35340224

36430232

37520240

3871026

39800214

40014128

P/T425093100Sisa

41104136

42033121

43123129

44213137

4540313

460521

14

47142122

48232130

49322138

5051214

51602112

52071117

53161115

54251123

55341131

56431139

5762115

58711113

59801121

6009010

P/T425093100Sisa

6118018

62270116

63360124

64450132

65540140

6673016

67820114

68910122

691000130

70015035

7120501

72034028

73124036

7431402

75404010

76053021

77143029

78233037

7942303

80513011

P/T425093100Sisa

81603019

82072014

83162022

84252030

85342038

8653204

87622012

88712020

89802028

9009107

91181015

92271023

93361031

94451039

9564105

96731013

97821021

98911029

P/T425093100Sisa

101110008

102290016

103380024

104470032

105560040

10675006

107840014

108930022

1091020030

1101110038

111130004

991001037

100011000

90

Keterangan :

P = Panjang rotan yang diperlukan ( cm ).

T = Teknik pemotongan.

Sisa = Panjangnya rotan setelah mcngalami pemotongan ( cm )

Bcrdasarkan teknik pemotongan bahan baku, maka dapat disusun model integer

programming sebagai berikut:

Tujuan : Min Z : Oxl + 8x2 + 7x3 + 0x4 + 8x5 + 16x6 + 24x7 + 14x8 + 22x9 +

7x10 + 15x11 + 23x12 + 31x13 + 0x14 + 8x15 + 16x16 + 24x17 +

32x18 + 40x19 + 21x20 + 29x21 + 14x22 + 22x23 + 30x24 +

38x25 + 7x26 + 15x27 + 23x28 + 31x29 + 39x30 + 5x31 + 0x32 +

8x33 + 16x34 + 24x35 + 32x36 + 40x37 + 6x38 + 14x39 + 28x40 +

36x41 + 21x42 + 29x43 + 37x44 + 3x45 + 14x46 + 22x47 + 30x48

+ 38x49 + 4x50 + 12x51 + 17x52 + 15x53 + 23x54 + 31x55 +

39x56 + 5x57 + 13x58 + 21x59 + 0x60 + 8x61 + 16x62 + 24x63 +

32x64 + 40x65 + 6x66 + 14x67 + 22x68 + 30x69 + 35x70 + 1x71 +

28x72 + 36x73 + 2x74 + 10x75 + 21x76 + 29x77 + 37x78 + 3x79 +

11x80 + 19x81 + 14x82 + 22x83 + 30x84 + 38x85 + 4x86 + 12x87

+ 20x88 + 28x89 + 7x90 + 15x91 + 23x92 + 31x93 + 39x94 + 5x95

+ 13x96 + 21x97 + 29x98 + 37x99 + Oxioo + 8x101 + 16x102 +

24x103 + 32x104 + 40x105 + 6x106 + 14x107 + 22x108 + 30x109 +

38x110 + 4x111

91

Dengan konstrain :

1. Oxl + 1x2 + 0x3 + 0x4+ 1x5 + 2x6 + 3x7 + 0x8 + 1x9 + Oxio +1x11 + 2x12 +

3x13 + 0x14 + 1x15 + 2x16 + 3x17 + 4x18 + 5x19 + 0x20 i 1x21 + 0x22 + 1x23

+ 2x24 + 3x25 + 0x26 + 1x27 + 2x28 + 3x29 + 4x30 + 6x31 + 0x32 + 1x33 +

2x34 + 3x35 + 4x36 + 5x37 + 7x38 + 8x39 + 0x40 +1x4! I 0x42 + 1x43 + 2x44

+ 4x45 + 0x46 + 1x47 + 2x48 + 3x49 + 5x50 + 6x51 + 0x52 + 1x53 + 2x54 +

3x55 + 4x56 + 6x57 + 7x58 + 8x59 + 0x60 + 1x61 + 2x62 + 3x63 + 4x64 + 5x65

+ 7x66 + 8x67 + 9x68 + 10x69 + 0x70 + 2x71 + 0x72 + 1x73 + 3x74 + 4x75 +

0x76 + 1x77 + 2x78 + 4x79 + 5x80 + 6x81 + 0x82 + 1x83 + 2x84 + 3x85 + 5x86

+ 6x87 + 7x88 + 8x89 + 0x90 + 1x91 + 2x92 + 3x93 + 4x94 + 6x95 + 7x96 +

8x97 + 9x98 + 10x99 + 0x100 + 1x101 + 2x102 + 3x103 + 4x104 + 5x105 + 7x106

+ 8x107 + 9x108+ 10x109+ 11x110+ 13x111 > b l .

2. lxl + 0 x 2 + 1x3 + 3x4 + 2x5+ 1x6 + 0x7+ 1x8 + 0x9+ 3x10+2x11 + 1x12 +

0x13 + 5x14 + 4x15 + 3x16 + 2x17 + 1x18 + 0x19 + 1x20 + 0x21 + 3x22 + 2x23

+ 1x24 + 0x25 + 5x26 + 4x27 + 3x28 + 2x29 + 1x30 + 0x31 + 7x32 + 6x33 +

5x34 + 4x35 + 3x36 + 2x37 + 1x38 + 0x39 + 1x40 + 0x41 + 3x42 + 2x43 + 1x44

+ 0x45 + 5x46 + 4x47 + 3x48 + 2x49 + 1x50 + 0x51 + 7x52 + 6x53 + 5x54 +

4x55 + 3x56 + 2x57 + 1x58 + 0x59 + 9x60 + 8x61 + 7x62 + 6x63 + 5x64 + 4x65

+ 3x66 + 2x67 + 1x68 + 0x69 + 1x70 + 0x71 + 3x72 + 2x73 + 1x74 + 0x75 +

5x76 + 4x77 + 3x78 + 2x79 + 1x80 + 0x81 + 7x82 + 6x83 + 5x84 + 4x85 + 3x86

+ 2x87 + 1x88 + 0x89 + 9x90 + 8x91 + 7x92 + 6x93 + 5x94 + 4x95 + 3x96 +

2x97 + 1x98 + 0x99 + 11x100 + 10x101 + 9x102 + 8x103 + 7x104 + 6x105 +

5x106 + 4x107 + 3x108 + 2x109 + lxl 10 + Oxl 11 > b2.

92

3. Oxl + 0x2 + 1x3 + 0x4 + 0x5 + 0x6 + 0x7 + 2x8 + 2x9 + 1x10 + lxll + 1x12 +

1x13 + 0x14 + 0x15 + 0x16 + 0x17 + 0x18 + 0x19 + 3x20 + 3x21 + 2x22 + 2x23

+ 2x24 + 2x25 + 1x26 + 1x27 + 1x28 + 1x29 + 1x30 + 1x31 + 0x32 + 0x33 +

0x34 + 0x35 + 0x36 + 0x37 + 0x38 + 0x39 + 4x40 + 4x4 i + 3x42 + 3x43 + 3x44

+ 3x45 + 2x46 + 2x47 + 2x48 + 2x49 + 2x50 + 2x51 + 1X52 + 1X53 + IX54 +

1x55 + 1x56 + 1x57 + 1x58 + 1x59 + 0x60 + 0x61 + 0x62 + 0x63 + 0x64 + 0x65

+ 0x66 + 0x67 + 0x68 + 0x69 + 5x70 + 5x71 + 4x72 + 4x73 + 4x74 + 4x75 +

3x76 + 3x77 + 3x78 + 3x79 + 3x80 + 3x81 + 2x82 + 2x83 + 2x84 + 2x85 + 2x86

+ 2x87 + 2x88 + 2x89 + 1x90 + 1x91 + 1x92 + 1x93 + 1x94 + 1x95 + 1x96 +

1x97+ 1x98+ 1x99 + 0x100 + 0x101 +0x102+ 0x103+ 0x104 + 0x105 + 0x106

+ 0x107 + 0x108 + 0x109 + Oxl 10 + Oxl 11 > b3.

4. 5x1 + 5x2 + 4x3 + 4x4 + 4x5 + 4x6 + 4x7 + 3x8 + 3x9 + 3x10 + 3x11 + 3x12 +

3x13 + 3x14 + 3x15 + 3x16 + 3x17 + 3x18 + 3x19 + 2x20 + 2x21 + 2x22 + 2x23

+ 2x24 + 2x25 + 2x26 + 2x27 + 2x28 + 2x29 + 2x30 + 2x31 + 2x32 + 2x33 +

2x34 + 2x35 + 2x36 + 2x37 + 2x38 + 2x39 + 1x40 + 1x41 + 1x42 + 1x43 + 1x44

+ 1x45 + 1x46 + 1x47 + 1x48 + 1x49 + 1x50 + 1x51 + 1x52 + 1x53 + 1X54 +

1x55 + 1x56 + 1x57 + 1x58 + 1x59 + 1x60 + 1x61 + 1x62 + 1x63 + 1x64 + 1x65

+ 1x66 + 1x67 + 1x68 + 1x69 + 0x70 + 0x71 + 0x72 + 0x73 + 0x74 + 0x75 +

0x76 + 0x77 + 0x78 + 0x79 + 0x80 + 0x81 + 0x82 + 0x83 + 0x84 + 0x85 + 0x86

+ 0x87 + 0x88 + 0x89 + 0x90 + 0x91 + 0x92 + 0x93 + 0x94 + 0x95 + 0x96 +

0x97 + 0x98 + 0x99 + OxlOO + 0x101 + 0x102 + 0x103 + 0x104 + 0x105 + 0x106

+ 0x107 + 0x108 + 0x109 + Oxl 10 + Oxl 11 > b4.

93

Kcterangan :

Xi = Jumlah pemotongan pada ke i

BI = Banyaknya batang rotan yang diperlukan untuk panjang 42 cm.

B2 = Banyaknya batang rotan yang diperlukan untuk panjang 50 cm.

B3 = Banyaknya batang rotan yang diperlukan untuk panjang 93 cm.

B4 = Banyaknya batang rotan yang diperlukan untuk panjang 100 cm.

94

Lampiran 10 : Altematif Pola Pemotongan Bahan Baku Rotan Diameter 28/30

mm

P/T152856Sisa

11193

23091

31383

43281

541814

660812

71573

83471

943714

1062712

1181710

1210078

131763

143661

1545614

1664612

1783610

1810268

1912166

2014064

P/T152856Sisa

211953

223851

2347514

2466512

2585510

26104

58

2712356

2814254

2916152

3018050

3111143

3231041

3349

14

3468

12

3587

10

36106

8

37125

6

38144

4

39163

2

4018240

P/T152856Sisa

41191413

42210411

4311333

4431231

45411314

46610312

4789310

4810838

4912736

5014634

5116532

5218430

53193313

54212311

5523139

5625037

5711523

5831421

59413214

60612212

P/T152856Sisa

61811210

62101028

6312926

6414824

6516722

6618620

67195213

68214211

6923329

7025227

7127125

7229023

7311713

7431611

75415114

76614112

77813110

78101218

79121116

80141014

P/T152856Sisa

8116912

8218810

83197113

84216111

8523519

8625417

8727315

8829213

8931111

90320.114

9111903

9231801

93417014

94616012

95815010

96101408

97121306

98141204

99161102

100181000

P/T152856Sisa

101199013

102218011

10323709

10425607

10527505

10629403

10731301

108322014

109341012

110360010

Keterangan :

P = Panjang rotan yang diperlukan (cm).

T = Teknik pemotongan.

Sisa = Panjangnya rotan setelah mengalami pemotongan (cm ).

95

Berdasarkan teknik pemotongan bahan baku, maka dapat disusun model integer

programming sebagai berikut:

Tujuan : Min Z : 3x1 + 1x2 + 3x3 + 1x4 + 14x5 + 12x6 + 3x7 + 1x8 + 14x9 +

12x10+ 10x11 + 8x12 + 3x13 + 1x14+ 14x15 + 12x16+ 10x17 +

8x18 + 6x19 + 4x20 + 3x21 + 1x22 + 14x23 + 12x24 + 10x25 +

8x26 + 6x27 + 4x28 + 2x29 + 0x30 + 3x31 + 1x32 + 14x33 +

12x34 + 10x35 + 8x36 + 6x37 + 4x38 + 2x39 + 0x40 + 13x41 +

1 1x42 + 3x43 + 1x44 + 14x45 + 12x46 + 10x47 + 8x48 + 6x49 +

4x50 + 2x51 + 0x52 + 13x53 + 11x54 + 9x55 + 7x56 + 3x57 +

1x58 + 14x59 + 12x60 + 10x61 + 8x62 + 4x63 + 4x64 + 2x65 +

0x66 + 13x67 + 11x68 + 9x69 + 7x70 + 5x71 + 3x72 + 3x73 +

1x74 + 14x75 + 12x76 + 10x77 + 8x78 + 6x79 + 4x80 + 2x81 +

0x82 + 13x83 + 11x84 + 9x85 + 7x86 + 5x87 + 3x88 + 1x89 +

14x90 + 3x91 + 1x92 + 14x93 + 12x94 + 10x95 + 8x96 + 6x97 +

4x98 + 2x99 + 0x100 + 13x101 + 1 1x102 + 9x103 + 7x104 +

5x105 + 3x106+ 1x107+ 14x108+ 12x109+ 10x110

Dengan konstrain :

1. Ixi +3x2+ 1x3 + 3x4 + 4x5 + 6x6+ 1x7 + 3x8 + 4x9+ 6x10 + 8xil + 10x12 +

1x13 + 3x14 + 4x15 + 6x16 + 8x17 + 10x18 + 12x19 + 14x20 + 1x21 + 3x22 +

4x23 + 6x24 + 8x25 + 10x26 + 12x27 + 14x28 + 16x29 + 18x30 + 1x31 + 3x32 +

4x33 + 6x34 + 8x35 + 10x36 + 12x37 + 14x38 + 16x39 + 18x40 + 19x41 +

21x42 + 1x43 + 3x44 + 4x45 + 6x46 + 8x47 + 10x48 + 12x49 + 14x50 + 16x51 +

18x52 + 19x53 + 21X54 + 23x55 + 25x56 + 1X57 + 3x58 + 4x59 + 6x60 + 8x61 +

10x62 + 12x63 + 14x64 + 16x65 + 18x66 + 19x67 + 21x68 + 23x69 + 25x70 +

96

27x71 + 29x72 + 1x73 + 3x74 + 4x75 + 6x76 + 8x77 + 10x78 + 12x79 + 14x80 +

16x81 + 18x82 + 19x83 + 21x84 + 23x85 + 25x86 + 27x87 + 29x88 + 31x89 +

32x90 + 1x91 + 3x92 + 4x93 + 6x94 + 8x95 + 10x96 + 12x97 + 14x98 + 16x99 +

18x100 + 19x101 + 21x102 + 23x103 + 25x104 + 27x105 + 29x106 + 31x107 +

32x108 + 34x109 + 36x110 > bl .

2. 1x1+ 0x2 + 3x3 + 2x4 + 1x5 + 0x6 + 5x7 + 4x8 + 3x9 + 2x10 +1x11+ 0x12 +

7x13 + 6x14 + 5x15 + 4x16 + 3x17 + 2x18 + 1x19 + 0x20 + 9x21 + 8x22 + 7x23

+ 6x24 + 5x25 + 4x26 + 3x27 + 2x28 + 1x29 + 0x30 + J 1x31 + 10x32 + 9x33 +

8x34 + 7x35 + 6x36 + 5x37 + 4x38 + 3x39 + 2x40 + 1x41 + 0x42 + 13x43 +

12x44 + 11x45 + 10x46 + 9x47 + 8x48 + 7x49 + 6x50 + 5x51 + 4x52 + 3x53 +

2x54 + 1x55 + 0x56 + 15x57 + 14x58 + 13x59 + 12x60 + 11x61 + 10x62 + 9x63

+ 8x64 + 7x65 + 6x66 + 5x67 + 4x68 + 3x69 + 2x70 + 1x71 + 0x72 + 17x73 +

16x74 + 15x75 + 14x76 + 13x77 + 12x78 + 11x79 + 10x80 + 9x81 + 8x82 +

7x83 + 6x84 + 5x85 + 4x86 + 3x87 + 2x88 + 1x89 + 0x90 + 19x91 + 18x92 +

17x93 + 16x94+ 15x95 + 14x96+ 13x97+ 12x98 + 1 1x99 + 10x100 + 9x101 +

8x102+ 7x103 + 6x104 + 5x105 + 4x106 + 3x107 + 2x108+ 1x109+ 0x110 >b2.

3. 9x1 + 9x2 + 8x3 + 8x4 + 8x5 + 8x6 + 7x7 + 7x8 + 7x9 + 7x10 +.7x1 i + 7x12 +

6x13 + 6x14 + 6x15 + 6x16 + 6x17 + 6x18 + 6x19 + 6x20 + 5x21 + 5x22 + 5x23

+ 5x24 + 5x25 + 5x26 + 5x27 + 5x28 + 5x29 + 5x30 + 4x31 + 4x32 + 4x33 +

4x34 + 4x35 + 4x36 + 4x37 + 4x38 + 4x39 + 4x40 + 4x41 + 4x42 + 3x43 + 3x44

+ 3x45 + 3x46 + 3x47 + 3x48 + 3x49 + 3x50 +3x51 + 3x52 + 3x53 + 3x54 +

3x55 + 3x56 + 2x57 + 2x58 + 2x59 + 2x60 + 2x61 + 2x62 + 2x63 + 2x64 + 2x65

+ 2x66 + 2x67 + 2x68 + 2x69 + 2x70 + 2x71 + 2x72 + 1x73 + 1x74 + 1x75 +

1x76+ 1x77+ 1x78+ 1x79+ 1x80+ 1x81 + 1x82+ 1x83 + 1x84+ 1x85 + 1x86

97

+ 1x87 + 1x88 + 1x89 + 1x90 + 0x91 + 0x92 + 0x93 + 0x94 + 0x95 + 0x96 +

0x97 + 0x98 + 0x99 + 0x100 + 0x101 + 0x102 + 0x103 + 0x104 + 0x105 + 0x106

+ 0x107 + 0x108 + 0x109 + Oxi 10 > b3.

Keterangan :

Xi = Jumlah pemotongan pada ke i

B1 = Banyaknya batang rotan yang diperlukan untuk panjang 15 cm.

B2 = Banyaknya batang rotan yang diperlukan untuk panjang 28 cm.

B3 = Banyaknya batang rotan yang diperlukan untuk panjang 56 cm.

98

Lampiran 11 : Alternatif Pola Pemotongan Bahan Baku Rotan Diameter 22/24

mm

P/T32437778118Sisa

1000140

2001041

3110043

42000414

5100238

6101139

7120130

82101011

93001322

101020310

11121031

122110312

133010323

140400324

15230033

163200314

174100325

18600034

19000422

20001323

P/T32437778118Sisa

21110325

222003216

23002224

24111226

252012217

260302229

27220228

283102219

294002230

30003125

31112127

322021218

330311230

34221129

353111220

364011231

370501221

38240120

393301211

404201222

P/T32437778118Sisa

41610121

427001212

43004026

441130213

452030219

460320231

472220210

483120221

49502020

500510222

51241021

523310212

534210

223

54611022

557010213

560700213

57160

0224

58350023

594400214

605300225

P/T32437778118Sisa

61720024

628100215

639000226

641005110

65011410

66120412

672104113

683004124

69012311

70121313

712113114

723013125

730403126

74230315

753203116

764103127

77600316

78013212

791032113

80122214

P/T32437778118Sisa

812122115

823022126

830412127

84231216

853212117

864112128

87601217

880602118

891502129

90340218

914302119

925202130

93710219

948002120

95014113

961041114

97123115

982131116

993031127

1000421128

P/T324377

101232

102322

103412

104602

105061

1061

51

107341

108431

109521

110711

111801

112080

113170

114360

115450

99

78118Sisa

117

1118

1129

118

1119

1130

119

1120

1131

1110

1121

1110

1121

110

1111

P/T32437778118Sisa

1165401122

117730111

1188201112

1199101123

1201100112

121015014

122124016

1232140117

1243040128

1250430129

126233018

1273

230119

1284130130

129603019

1300620120

P/T32437778118Sisa

1311520131

1323420110

13343201

21

134622010

1357120111

13680201

22

13708101

11

1381710122

139361011

14045101

12

1415410123

142731012

1438210113

14491101

24

1451101013

PfT32437778118Sisa

1460100012

1471900113

14828001

24

149470013

1505600114

1516500125

152840014

1539300115

15410200126

1551210015

15613000116

157000704

158001605

159110607

1602006018

P/T32437778118Sisa

161002506

162111

508

163201

5019

164030

5031

165220

5010

1663105021

167500500

168003

407

169112

09

170202

020

171131

00

172221

011

173311

022

174501

01

175050

023

P/T32437778118Sisa

176240402

1773304013

1784204024

179610403

1807004014

181004308

1821133010

1832033021

184132301

185

2223012

1863123023

187502302

1880513024

189241303

1903313014

P/T32437778

1914213

1926113

1937013

1940703

1951603

1963503

1974403

1985303

1997203

2008103

2019003

2020052

2030242

2041142

2052042

100

118Sisa

025

04

015

015

026

05

016

027

06

017

028

09

00

011

022

PfT32437778118Sisa

206133202

2072232013

2083132024

209503203

2100522025

211242204

2123322015

2134222026

214612205

2157022016

2160712016

2171612027

218351206

2194412017

2205312028

P/T32437778118Sisa

221721207

2228112018

2239012029

224090207

2251802018

2262702029

227460208

2285502019

2296402030

230830209

2319202020

23210102031

23312002010

2340061010

235025101

PfT32437778118Sisa

2361151012

2372051023

238134103

2392241014

2403141025

241504104

2420531026

243243105

2443331016

2454231027

246613106

2477031017

2480721017

2491621028

250352107

P/T32437778118Sisa

2514421018

2525321029

253722108

2548121019

2559021030

256091108

2570811019

2582711030

259461109

2605511020

2616411031

2628311010

2639211021

2641111100

26512011011

P/T32437778118Sisa

26611001010

2672901021

268480100

2695701011

2706601022

27185010

1

2729401012

27310301023

2741220102

27513101013

27614001024

2770070011

278026002

2791160013

2802060024

P/T32437778118

28113500

28222500

28331500

28450500

28505.400

28624400

28733400

28842400

28961400

29070400

29107300

29216300

29335300

29444300

29553300

IOJ

Sisa 4 15 26 5 27 6 17 28 7 18 18 29 8 19 30

P/T32437778118Sisa

296723009

2978130020

2989030031

299092009

3001820020

3012720031

3024620010

3035520021

304742000

3058320011

3069220022

3071112001

30812020012

3090111000

31011010011

P/T32437778118Sisa

3112910022

312481001

3135710012

3146610023

315851002

3169410013

31710310024

3181221003

31913110014

32014010025

3211120002

32221100013

32331000024

324590003

3256800014

P/T32437778118Sisa

3267700025

327960004

32810500015

32911400026

3301330005

33114200016

33215100027

3331700006

Keterangan :

P ~ Panjang rotan yang dipcrlukan ( cm ).

T = Teknik pemotongan.

Sisa = Panjangnya rotan setelah mengalami pemotongan ( cm ).

Berdasarkan teknik pemotongan bahan baku, maka dapat disusun model integer

programming scbagai bcrikut:

Tujuan : Min Z : Oxl + 1x2 + 3x3 + 14x4 + 8x5 + 9x6 + 0x7 + 11x8 + 22x9 +

10x10+ lxl l + 12x12 + 23x13 + 24x14 + 3x15+ 14x16 + 25x17

+ 4x18 + 2x19 + 3x20 + 5x21 + 16x22 + 4x23 + 6x24 + 17x25 +

29x26 + 8x27 + 19x28 + 30x29 + 5x30 + 7x31 + 18x32 + 30x33

+ 9x34 + 20x35 + 31x36 + 21x37 + 0x38 + 1 1x39 + 22x40 +

102

1x41 + 12x42 + 6x43 + 13x44+ 19x45 + 31x46+ 10x47+ 21x48

+ 0x49 + 22x50 + 1x51 + 12x52 + 23x53 + 2x54 + 13x55 + 13x56

+ 24x57 + 3x58 + 14x59 + 25x60 + 4x61 i- 15x62 + 26x63 +

10x64 + 0x65 + 2x66 + 13x67 + 24x68 + 1x69 + 3x70 + 14x71 +

25x72 + 26x73 + 5x74 + 16x75 + 27x76 -i 6x77 + 2x78 + 13x79 +

4x80 + 15x81 + 26x82 + 27x83 + 6x84 + 17x85 + 28x86 + 7x87 +

18x88 + 29x89 + 8x90 + 19x91 + 30x92 + 9x93 + 20x94 + 3x95 +

14x96 + 5x97 + 16x98 + 27x99 + 28x100 + 7x101 + 18x102 +

29x103 + 8x104 + 19x105 + 30x106 + 9x107 + 20x108 + 31x109

+ 10x110 + 21x111 + 10x112 + 21x113 + 0x114 + 11x115 +

22x116+ 1x117 + 12x118 + 23x119 + 2x120 + 4x121 + 6x122 +

17x123 + 28x124 + 29x125 + 8x126 + 19x127 + 30x128 + 9x129

+ 20x130 + 31x131 + 10x132 + 21x133 + 0x134 + 11x135 +

22x136+ 11x137 + 22x138 + 1x139 + 12x140 + 23x141 + 2x142

+ 13x143 + 24x144 + 3x145 + 2x146 + 13x147 + 24x148 + 3x149

+ 14x150 + 25x151 + 4x152 + 15x153 + 26x154 + 5x155 +

16x156 + 4x157 + 5x158 + 7x159 + 18x160 + 6x161 + 8x162 +

19x163 + 31x164 + 10x165 + 21x166 + 0x167 + 7x168 + 9x169 +

20x170 + 0x171 + 11x172 + 22x173 + 1x174 + 23x175 + 2x176 +

13x177 + 24x178 + 3x179 + 14x180 + 8x181 + 10x182 + 21x183

+ 1x184 + 12x185 + 23x186 + 2x187 + 24x188 + 3x189 + 14x190.

+ 25x191 + 4x192 + 15x193 + 15x194 + 26x195 + 5x196 +

16x197 + 27x198 + 6x199 + 17x200 + 28x201 + 9x202 + 0x203 +

11x204 + 22x205 + 2x206 + 13x207 + 24x208 + 3x209 + 25x210

103

+ 4x211 + 15x212 + 26x213 + 5x214+ 16x215+ 16x216 + 27x217

+ 6x218 + 17x219 + 28x220 + 7x221 + 18x222 + 29x223 + 7x224

+ 18x225 + 29x226 + 8x227 + 19x228 + 30x229 + 9x230 +

20x231 + 31x232 + 10x233 + 10x234 + 1x235 + 12x236 + 23x237

+ 3x238 + 14x239 + 25x240 + 4x241 + 26x242 + 5x243 + 16x244

+ 27x245 + 6x246 + 17x247 + 17x248 + 28x249 + 7x250 +

18x251 + 29x252 + 8x253 + 19x254 + 30x255 + 8x256 + 19x257

+ 30x258 + 9x259 + 20x260 + 31x261 + 10x262 + 21x263 +

0x264 + 11x265 + 10x266 + 21x267 + 0x268 + I 1x269 + 22x270

+ 1x271 + 12x272 + 23x273 + 2x274 + 13x275 + 24x276 + 1 1x277

+ 2x278 + 13x279 + 24x280 + 4x281 + 15x282 + 26x283 + 5x284

+ 27x285 + 6x286 + 17x287 + 28x288 + 7x289 + 18x290 +

18x291 + 29x292 + 8x293 + 19x294 + 30x295 + 9x296 + 20x297

+ 31x298 + 9x299 + 20x300 + 31x301 + 10x302 + 21x303 + 0x304

+ 11x305 + 22x306 + 1x307 + 12x308 + 0x309 + 11x310 +

22x311 + 1x312+ 12x313 + 23x314+ 2x315 + 13x316 + 24x317 +

3x318 + 14x319 + 25x320 + 2x321 + 13x322 + 24x323 + 3x324 +

14x325 + 25x326 + 4x327 + 15x328 + 26x329 + 5x330 + 16x331 +

27x332 + 6x333.

Detigan konstrain :

1. Oxi + 0x2 + 1x3 + 2x4 + 1x5 + 1x6 + 1x7 + 2x8 + 3x9 + lxio + 1x11 + 2x12 +

3x13 + 0x14 + 2x15 + 3x16 + 4x17 + 6x18 + 0x19 + 0x20 + 1x21 + 2x22 + 0x23

+ 1x24 + 2x25 + 0x26 + 2x27 + 3x28 + 4x29 + 0x30 + 1x31 + 2x32 + 0x33 +

2x34 + 3x35 + 4x36 + 0x37 + 2x38 + 3x39 + 4x40 + 6x41 + 7x42 + 0x43 + 1x44

104

+ 2x45 + 0x46 + 2x47 + 3X48 + 5x49 + 0x50 + 2x51 + 3x52 + 4x53 + 6x54 +

7x55 + 0x56 + 1x57 + 3x58 + 4x59 + 5x60 + 7x61 + 8x62 + 9x63 + 1x64 + 0x65

+ 1x66 + 2x67 + 3x68 + 0X69 + 1x70 + 2x71 + 3x72 ) 0x73 + 2x74 + 3x75 +

4x76 + 6x77 + 0x78 + 1x79 + 1x80 + 2x81 + 3x82 + 0x83 + 2x84 + 3x85 + 4x86

+ 6x87 + 0x88 + 1x89 + 3x90 + 4x91 + 5x92 + 7x93 + 8x94 + 0x95 + 1x96 +

1x97 + 2x98 + 3x99 + 0x100 + 2x101 + 3x102 + 4x103 + 6x104 + 0x105 + 1x106

+ 3x107 + 4x108 + 5x109 + 7x110 + 8x111 + 0x112 + 1x113 + 3x114 + 4x115 +

5x116 + 7x117 + 8x118 + 9x119 + 11x120 + 0x121 + 1x122 + 2x123 + 3x124 +

0x125 + 2x126 + 3x127 + 4x128 + 6x129 + 0x130 + 1x131 + 3x132 + 4x133 +

6x134 + 7x135 + 8x136 + 0x137 + 1x138 + 3x139 + 4x140 + 5x141 + 7x142 +

8x143 + 9x144 + 1 1x145 + 0x146 + 1x147 + 2x148 + 4x149 + 5x150 + 6x151 +

8x152 + 9x153 + 10x154 + 12x155 + 13x156 + 0x157 + 0x158 + 1x159 + 2x160 +

0x161 + 1x162 + 2x163 + 0X164 + 2x165 + 3x166 + 5x167 + 0x168 + 1x169 +

2x170 + 1x171 + 2x172 + 3x173 + 5x174 + 0x175 + 2x176 + 3x177 + 4x178 +

6x179 + 7x180 + 0x181 + 1x182 + 2x183 + 1x184 + 2x185 + 3x186 + 5x187 +

0x188 + 2x189 + 3x190 + 4x191 + 6x192 + 7x193 + 0x194 + 1x195 + '3x196 +

4x197 + 5x198 + 7x199 + 8x200 + 9x201 + 0x202 + 0x203 + 1x204 + 2x205 +

1x206 + 2x207 + 3x208 + 5x209 + 0x210 + 2x211 + 3x212 + 4x213 + 6x214 +

7x215 + 0x216 + 1x217 + 3x218 + 4x219 + 5x220 + 7x221 + 8x222 + 9x223 +

0x224 + 1x225 + 2x226 + 4x227 + 5x228 + 6x229 + 8x230 + 9x231 + 10x232 +

12x233 + 0x234 + 0x235 + 1x236 + 2x237 + 1x238 + 2x239 + 3x240 + 5x241 +

0x242 + 2x243 + 3x244 + 4x245 + 6x246 + 7x247 + 0x248 + 1x249 + 3x250 +

4x251 + 5x252 + 7x253 + 8x254 + 9x255 + 0x256 + 0x257 + 2x258 + 4x259 +

5x260 + 6x261 + 8x262 + 9x263 + 1 1x264 + 12x265 + 1x266 + 2x267 + 4x268 +

105

5x269 + 6x270 + 8x271 + 9x272 + 10x273 + 12x274 + 13x275 + 14x276 + 0x277

+ 0x278 + 1x279 + 2x280 + 1x281 + 2x282 + 3x283 + 5x284 + 0x285 + 2x286 +

3x287 + 4x288 + 6x289 + 7x290 + 0x291 + 1x292 + 3x293 + 4x294 + 5x295 +

7x296 + 8x297 + 9x298 + 0x299 + 1x300 + 2x301 + 4x302 + 5x303 + 7x304 +

8x305 + 9x306 + 11x307 + 12x308 + 0x309 + 1x310 + 2x311 + 4x312 + 5x313 +

6x314+ 8x315 + 9x316+ 10x317+ 12x318 + 13x319 + 14x320+ 1x321 + 2x322

+ 3x323 + 5x324 + 6x325 + 7x326 + 9x327 + 10x328 + I 1x329 + 13x330 +

14x331 + 15x332 + 17x333 > t> 1.

2. Oxl + 0x2 + 1x3 + 0x4 + 0x5 + 0x6 + 2x7 + 1x8 + 0x9 + 0x10 + 2x11 + 1x12 +

0x13 + 4x14 + 3x15 + 2x16+ 1x17 + 0x18 + 0x19 + 0x20+ 1x21 + 0x22 + 0x23

+ 1x24 + 0x25 + 5x26 + 2x27 + 1x28 + 0x29 + 0x30 + 1x31 + 0x32 + 3x33 +

2x34 + 1x35 + 0x36 + 5x37 + 4x38 + 3x39 + 2x40 + 1x41 + 0x42 + 0x43 + 1x44

+ 0x45 + 3x46 + 2x47 + 1x48 + 0x49 + 5x50 + 4x51 + 3x52 + 2x53 + 1x54 +

0x55 + 7x56 + 6x57 + 5x58 + 4x59 + 3x60 + 2x61 + 1x62 + 0x63 + 0x64 + 1x65

+ 2x66 + 1x67 + 0x68 + 1x69 + 2x70 + 1x71 + 0x72 + 4x73 + 3x74 + 2x75 +

1x76 + 0x77 + 1x78 + 0x79 + 2x80 + 1x81 + 0x82 + 4x83 + 3x84 + 2x85 + 1x86

+ 0x87 + 6x88 + 5x89 + 4x90 + 3x91 + 2x92 + 1x93 + 0x94 + 1x95 + 0x96 +

2x97+ 1x98 + 0x99 + 4x100 + 3x101 + 2x102+ 1x103 + 0x104+'6x105 + 5.XI06

+ 4x107 + 3x108 + 2x109+ 1x110 + Oxlll + 8x112 + 7x113 + 6x114 + 5x115 +

4x116 + 3x117 + 2x118 + 1x119 + 0x120 + 1x121 + 2x122 + 1x123 + 0x124 +

4x125 + 3x126 + 2x127 + 1x128 + 0x129 + 6x130 + 5x131 + 4x132 + 3x133 +

2x134 + 1x135 + 0x136 + 8x137 + 7x138 + 6x139 + 5x140 + 4x141 + 3x142 +

2x143 + 1x144 + 0x145 + 10X146 + 9x147 + 8x148 + 7x149 + 6x150 + 5x151 +

4x152 + 3x153 + 2x154 + 1x155 + 0x156 + 0x157 + 0x158 + 1x159 + 0x160 +

106

0x161 + 1x162 + 0x163 + 3x164 + 2x165 + 1x166 + 0x167 + 0x168 + 1x169 +

0x170 + 3x171 + 2x172 + 1x173 + 0x174 + 5x175 + 4x176 + 3x177 + 2x178 +

1x179 + 0x180 + 0x181 + 1x182 + 0x183 + 3x184 + 2x185 + 1x186 + 0x187 +

5x188 + 4x189 + 3x190 + 2x191 + 1x192 + 0x193 + 7x194 + 6x195 + 5x196 +

4x197 + 3x198 + 2x199 + 1x200 + 0x201 + 0x202 + 2x203 + 1x204 + 0x205 +

3x206 + 2x207 + 1x208 + 0x209 + 5x210 + 4x211 + 3x212 + 2x213 + 1x214 +

0x215 + 7x216 + 6x217 + 5x218 + 4x219 + 3x220 + 2x221 + 1x222 + 0x223 +

9x224 + 8x225 + 7x226 + 6x227 + 5x228 + 4x229 + 3x230 + 2x231 + 1X232 +

0x233 + 0x234 + 2x235 + 1x236 + 0x237 + 3x238 + 2x239 + 1x240 + 0x241 +

5x242 + 4x243 + 3x244 + 2x245 + 1x246 + 0x247 + 7x248 + 6x249 + 5x250 +

4x251 + 3x252 + 2x253 + 1x254 + 0x255 + 9x256 + 8x257 + 7x258 + 6x259 +

5x260 + 4x261 + 3x262 + 2x263 + 1x264 + 0x265 + 10x266 + 9x267 + 8x268 +

7x269 + 6x270 + 5x271 + 4x272 + 3x273 + 2x274 + 1x275 + 0x276 + 0x277 +

2x278 + 1x279 + 0x280 + 3x281 + 2x282 + 1x283 + 0x284 + 5x285 + 4x286 +

3x287 + 2x288 + 1x289 + 0x290 + 7x291 + 6x292 + 5x293 + 4x294 + 3x295 +

2x296 + 1x297 + 0x298 + 9x299 + 8x300 + 7x301 + 6x302 + 5x303 + 4x304 +

3x305 + 2x306 + 1x307 + 0x308 + 11x309 + 10x310 + 9x311 + 8x312 + 7x313 +

6x314+5x315 + 4x316 + 3x317 + 2x318+ 1x319+ 0x320+ 12x321 + 11x322 +

10x323 + 9x324 + 8x325 + 7x326 + 6x327 + 5x328 + 4x329 + 3x330 + 2x331 +

1x332+ 0x333 >b2.

3. Oxl + 1x2+ 0x3 + 0x4 + 0x5+ 1x6 + 0x7 + 0x8 + 0x9 + 2x10+ lxl l + 1x12 +

1x13 + 0x14 + 0x15 + 0x16 + 0x17 + 0x18 + 0x19 + 1x20 + 0x21 + 0x22 + 2x23

+ 1x24 + 1x25 + 0x26 + 0x27 + 0x28 + 0x29 + 3x30 +2x31 + 2x32 + 1x33 +

1x34 + 1x35 + 1x36 + 0x37 + 0x38 + 0x39 + 0x40 + 0x41 + 0x42 + 4x43 + 3x44

107

+ 3x45 + 2x46 + 2x47 + 2x48 + 2x49 + 1x50 + 1x51 + 1x52 + 1x53 + 1x54 +

1x55 + 0x56 + 0x57 + 0x58 + 0x59 + 0x60 + 0x61 + 0x62 + 0x63 + 0x64 + 1x65

+ 0x66 + 0x67 + 0x68 + 2x69 + 1x70 + 1x71 + 1x72 + 0x73 + 0x74 + 0x75 +

0x76 + 0x77 + 3x78 + 3x79 + 2x80 + 2x81 + 2x82 + 1x83 + 1x84 + 1x85 + 1x86

+ 1x87 + 0x88 + 0x89 + 0x90 + 0x91 + 0x92 + 0x93 + 0x94 + 4x95 + 4x96 +

3x97 + 3x98 + 3x99 + 2x100 + 2x101 + 2x102 + 2x103 + 2x104 + 1x105 + 1x106

+ 1x107 + 1x108 + 1x109 + 1x110 + lx l l l + 0x112 + 0x113 + 0x114 + 0x115 +

Oxl 16 + Oxl 17 + Oxl 18 + Oxl 19 + 0x120 + 5x121 + 4x122 + 4x123 + 4x124 +

3x125 + 3x126 + 3x127 + 3x128 + 3x129 + 2x130 + 2x131 + 2x132 + 2x133 +

2x134 + 2x135 + 2x136 + 1x137 + 1x138 + 1x139 + 1x140 + 1x141 + 1x142 +

1x143 + 1x144 + 1x145 + 0x146 + 0x147 + 0x148 + 0x149 + 0x150 + 0x151 +

0x152 + 0x153 + 0x154 + 0x155 + 0x156 + 0x157 + 1x158 + 0x159 + 0x160 +

2x161 + 1x162 + 1x163 + 0x164 + 0x165 + 0x166 + 0x167 + 3x168 + 2x169 +

2x170 + 1x171 + 1x172 + 1x173 + 1x174 + 0x175 + 0x176 + 0x177 + 0x178 +

0x179 + 0x180 + 4x181 + 3x182 + 3x183 + 2x184 + 2x185 + 2x186 + 2x187 +

1x188 + 1x189 + 1x190 + 1x191 + 1x192 + 1x193 + 0x194 + 0x195 + 0x196 +

0x197 + 0x198 + 0x199 + 0x200 + 0x201 + 5x202 + 4x203 + 4x204 + 4x205 +

3x206 + 3x207 + 3x208 + 3x209 + 2x210 + 2x211 + 2x212 + 2x213 + 2x214 +

2x215 + 1x216 + 1x217 + 1x218 + 1x219 + 1x220 + 1x221 + 1x222 + 1x223 +

0x224 + 0x225 + 0x226 + 0x227 + 0x228 + 0x229 + 0x230 + 0x231 + 0x232 +

0x233 + 6x234 + 5x235 + 5x236 + 5x237 + 4x238 + 4x239 + 4x240 + 4x241 +

3x242 + 3x243 + 3x244 + 3x245 + 3x246 + 3x247 + 2x248 + 2x249 + 2x250 +

2x251 + 2x252 + 2x253 + 2x254 + 2x255 + 1x256 + 1x257 + 1x258 + 1x259 +

1x260 + 1x261 + 1x262 + 1x263 + 1x264 + 1x265 + 0x266 + 0x267 + 0x268 +

108

0x269 + 0x270 + 0x271 + 0x272 + 0x273 -I- 0x274 + 0x275 + 0x276 + 7x277 +

6x278 + 6x279 + 6x280 + 5x281 + 5x282 + 5x283 + 5x284 + 4x285 + 4x286 +

4x287 + 4x288 + 4x289 + 4x290 + 3x291 + 3x292 + 3x293 + 3x294 + 3x295 +

3x296 + 3x297 + 3x298 + 2x299 + 2x300 + 2x301 + 2x302 + 2x303 + 2x304 +

2x305 + 2x306 + 2x307 + 2x308 + 1x309 + 1x310 + 1x311 + 1x312 + 1x313 +

1x314 + 1x315 + 1x316 + 1x317 + 1x318 + 1x319 + 1x320 + 0x321 + 0x322 +

0x323 + 0x324 + 0x325 + 0x326 + 0x327 + 0x328 + 0x329 + 0x330 + 0x331 +

0x332 + 0x333 > b3.

4. lxl + 0x2+ 0x3 + 0x4 + 2x5+ 1x6+ 1x7+ 1x8 + 1x9 + 0x10+ Oxll + 0x12 +

0x13 + 0x14 + 0x15 + 0x16 + 0x17 + 0x18 + 4x19 + 3x20 + 3x21 + 3x22 + 2x23

+ 2x24 + 2x25 + 2x26 + 2x27 + 2x28 + 2x29 + 1x30 + 1x31 + 1x32 + 1x33 +

1x34 + 1x35 + 1x36 + 1x37 + 1x38 + 1x39 + 1x40 + 1x41 + 1x42 + 0x43 + 0x44

+ 0x45 + 0x46 + 0x47 + 0x48 + 0x49 + 0x50 +0x51 + 0x52 + 0x53 + 0x54 +

0x55 + 0x56 + 0x57 + 0x58 + 0x59 + 0x60 + 0x61 + 0x62 + 0x63 + 5x64 + 4x65

+ 4x66 + 4x67 + 4x68 + 3x69 + 3x70 + 3x71 + 3x72 + 3x73 + 3x74 + 3x75 +

3x76 + 3x77 + 2x78 + 2x79 + 2x80 + 2x81 + 2x82 + 2x83 + 2x84 + 2x85 + 2x86

+ 2x87 + 2x88 + 2x89 + 2x90 + 2x91 + 2x92 + 2x93 + 2x94 + 1x95 + 1x96 +

1x97 + 1x98 + 1x99 + 1x100 + 1x101 + 1x102 + 1x103 + 1x104 + 1x105 + 1x106

+ 1x107 + 1x108 + 1x109 + 1x110 + lxl 11 + 1x112 + 1x113 + 1x114 + 1x115 +

lxl 16 + 1x117 + 1x118 + 1x119 + 1x120 + 0x121 + 0x122 + 0x123 + 0x124 +

0x125 + 0x126 + 0x127 + 0x128 + 0x129 + 0x130 + 0x131 + 0x132 + 0x133 +

0x134 + 0x135 + 0x136 + 0x137 + 0x138 + 0x139 + 0x140 + 0x141 + 0x142 +

0x143 + 0x144 + 0x145 + 0x146 + 0x147 + 0x148 + 0x149 + 0x150 + 0x151 +

0x152 + 0x153 + 0x154 + 0x155 + 0x156 + 7x157 + 6x158 + 6x159 + 6x160 +

109

5x161 + 5x162 + 5x163 + 5x164 + 5x165 + 5x166 + 5x167 + 4x168 + 4x169 +

4x170 + 4x171 + 4x172 + 4x173 + 4x174 I 4x175 -I- 4x176 -I- 4x177 + 4x178 +

4x179 + 4x180 + 3x181 + 3x182 + 3x183 + 3x184 + 3x185 + 3x186 + 3x187 +

3x188 + 3x189 + 3x190 + 3x191 + 3x192 + 3x193 + 3x194 + 3x195 + 3x196 +

3x197 + 3x198 + 3x199 + 3x200 + 3x201 + 2x202 + 2x203 + 2x204 + 2x205 +

2x206 + 2x207 + 2x208 + 2x209 + 2x210 + 2x211 + 2x212 + 2x213 + 2x214 +

2x215 + 2x216 + 2x217 + 2x218 + 2x219 + 2x220 + 2x221 + 2x222 + 2x223 +

2x224 + 2x225 + 2x226 + 2x227 + 2x228 + 2x229 + 2x230 + 2x231 + 2x232 +

2x233 + 1x234 + 1x235 + 1x236 + 1x237 + 1x238 + 1x239 + 1x240 + 1x241 +

1x242 + 1x243 + 1x244 + 1x245 + 1x246 + 1x247 + 1x248 + 1x249 + 1x250 +

1x251 + 1x252 + 1x253 + 1x254 + 1x255 + 1x256 + 1x257 + 1x258 + 1x259 +

1x260 + 1x261 + 1x262 + 1x263 + 1x264 + 1x265 + 1x266 + 1x267 + 1x268 +

1x269 + 1x270 + 1x271 + 1x272 + 1x273 + 1x274 + 1x275 + 1x276 + 0x277 +

0x278 + 0x279 + 0x280 + 0x281 + 0x282 + 0x283 + 0x284 + 0x285 + 0x286 +

0x287 + 0x288 + 0x289 + 0x290 + 0x291 + 0x292 + 0x293 + 0x294 + 0x295 +

0x296 + 0x297 + 0x298 + 0x299 + 0x300 + 0x301 + 0x302 + 0x303 + 0x304 +

0x305 + 0x306 + 0x307 + 0x308 + 0x309 + 0x310 + 0x311 +0x312+0x313 +

0x314 + 0x315 + 0x316 + 0x317 + 0x318 + 0x319 + 0x320 + 0x321 + 0x322 +

0x323 + 0x324 + 0x325 + 0x326 + 0x327 + 0x328 + 0x329 + 0x330 + 0x331 +

0x332 + 0x333 > b4.

5. 4x1 + 4x2 + 4x3 + 4x4 + 3x5 + 3x6 + 3x7 + 3x8 + 3x9 + 3x10 + 3x11 + 3x12 +

3x13 + 3x14 + 3x15 + 3x16 + 3x17 + 3x18 + 2x19 + 2x20 + 2x21 + 2x22 + 2x23

+ 2x24 + 2x25 + 2x26 + 2x27 + 2x28 + 2x29 + 2x30 + 2x31 + 2x32 + 2x33 +

2x34 + 2x35 + 2x36 + 2x37 + 2x38 + 2x39 + 2x40 + 2x41 + 2x42 + 2x43 + 2x44

10

+ 2x45 + 2x46 + 2x47 + 2x48 + 2x49 + 2x50 + 2x51 + 2x52 + 2x53 + 2x54 +

2x55 + 2x56 + 2x57 + 2x58 + 2x59 + 2x60 + 2x61 + 2x62 + 2x63 + 1x64 + 1x65

+ 1x66 + 1x67 + 1x68 + 1x69 + 1x70 + 1x71 + 1x72 + 1x73 + 1x74 + 1x75 +

1x76+ 1x77+ 1x78+ 1x79+ 1x80+ 1x81 + 1x82+ 1x83 + 1x84+ 1x85+ 1x86

+ 1x87 + 1x88 + 1x89 + 1x90 + 1x91 + 1x92 + 1x93 + 1x94 + 1x95 + 1x96 +

1x97 + 1x98 + 1x99 + 1x100 + 1x101 + 1x102 + 1x103 + 1x104 + 1x105 + 1x106

+ 1x107 + 1x108 + 1X109 + 1x110 + 1x111+ 1x112 + 1x113 + 1x114 + 1x115 +

1x116 + 1x117 + 1x118 + 1x119 + 1x120 + 1x121 + 1x122 + 1x123 + 1x124 +

1x125 + 1x126 + 1x127 + 1x128 + 1x129 + 1x130 + 1x131 + 1x132 + 1x133 +

1x134 + 1x135 + 1x136 + 1x137 + 1x138 + 1x139 + 1x140 + 1x141 + 1x142 +

1x143 + 1x144 + 1x145 + 1x146 + 1x147 + 1x148 + 1x149 + 1x150 + 1x151 +

1x152 + 1x153 + 1x154 + 1x155 + 1x156 + 0x157 + 0x158 + 0x159 + 0x160 +

0x161 + 0x162 + 0x163 + 0x164 + 0x165 + 0x166 + 0x167 + 0x168 + 0x169 +

0x170 + 0x171 + 0x172 + 0X173 + 0x174 + 0x175 + 0x176 + 0x177 + 0x178 +

0x179 + 0x180 + 0x181 + 0x182 + 0x183 + 0x184 + 0x185 + 0x186 + 0x187 +

0x188 + 0x189 + 0x190 + 0x191 + 0x192 + 0x193 + 0x194 + 0x195 + 0x196 +

0x197 + 0x198 + 0x199 + 0x200 + 0x201 + 0x202 + 0x203 + 0x204 + 0x205 +

0x206 + 0x207 + 0x208 + 0x209 + 0x210 + 0x211 + 0x212 + 0x213 + 0x214 +

0x215 + 0x216 + 0x217 + 0x218 + 0x219 + 0x220 + 0x221 + 0x222 + 0x223 +

0x224 + 0x225 + 0x226 + 0x227 + 0x228 + 0x229 + 0x230 + 0x231 + 0x232 +

0x233 + 0x234 + 0x235 + 0x236 + 0x237 + 0x238 + 0x239 + 0x240 + 0x241 +

0x242 + 0x243 + 0x244 + 0x245 + 0x246 + 0x247 + 0x248 + 0x249 + 0x250 +

0x251 + 0x252 + 0x253 + 0x254 + 0x255 + 0x256 + 0x257 + 0x258 + 0x259 +

0x260 + 0x261 + 0x262 + 0x263 + 0x264 + 0x265 + 0x266 + 0x267 + 0x268 +

11

0x269 + 0x270 + 0x271 + 0x272 + 0x273 + 0x274 + 0x275 + 0x276 + 0x277 +

0x278 + 0x279 + 0x280 + 0x281 + 0x282 + 0x283 + 0x284 + 0x285 + 0x286 +

0x287 + 0x288 + 0x289 + 0x290 + 0x291 + 0x292 + 0x293 + 0x294 + 0x295 +

0x296 + 0x297 + 0x298 + 0x299 + 0x300 + 0x301 + 0x302 + 0x303 + 0x304 +

0x305 + 0x306 + 0x307 + 0x308 + 0x309 + 0x310 + 0x311 + 0x312 + 0x313 +

0x314 + 0x315 + 0x316 + 0x317 + 0x318 + 0x319 + 0x320 + 0x321 + 0x322 +

0x323 + 0x324 + 0x325 + 0x326 + 0x327 + 0x328 + 0x329 + 0x330 + 0x331 +

0x332 + 0x333 > b5.

Kcterangan :

Xi = Jumlah pemotongan pada ke i

Bl = Banyaknya batang rotan yang diperlukan untuk panjang 32 cm.

B2 = Banyaknya batang rotan yang diperlukan untuk panjang 43 cm.

B3 = Banyaknya batang rotan yang diperlukan untuk panjang 77 cm.

B4 = Banyaknya batang rotan yang diperlukan untuk panjang 78 cm.

B5 = Banyaknya batang rotan yang diperlukan untuk panjang 118 cm.

12

Lampiran 12 : Alternatif Pola Pemotongan Bahan Baku Rotan Diameter 18/20

mm

P/T366595Sisa

101510

22053

31244

421433

540426

60435

713334

832327

951320

1070313

1105235

1224228

1343221

1462214

158127

1610020

170710

1816129

1935122

2054115

PAT366595Sisa

217318

229211

23101130

24120123

2508030

2627023

2746016

286509

298402

3093031

31112024

32131017

33150010

Keterangan :

P = Panjang rotan yang diperlukan (cm )

T = Teknik pemotongan

Sisa = Panjangnya rotan setelah mengalami pemotongan ( cm ).

Berdasarkan teknik pemotongan bahan baku, maka dapat disusun model integer

programming sebagai berikut :

Tujuan : Min Z : lOxi + 3x2 + 4x3 + 33x4 + 26x5 + 5x6 + 34x7 + 27x8 + 20x9 +

13x10 + 35xl 1 + 28x12 + 21x13 + 14x14 + 7x15 + 0x16 + 0x17 +

29x18 + 22x19 + 15x20 + 8x21 + 1x22 + 30x23 + 23x24 + 30x25 +

23x26 + 16x27 + 9x28 + 2x29 + 31x30 + 24x31 + 17x32 + 10x33.

Dengan konstrain :

I. Oxl + 2x2+ 1x3 + 2x4 + 4x5 + 0x6+ 1x7 + 3x8 + 5x9 + 7x10 + Oxll + 2x12 +

4x13 + 6x14 + 8x15 + 10x16 + 0x17 + 1x18 + 3x19 + 5x20 + 7x21 + 9x22 +

113

10x23 + 12x24 + 0x25 + 2x26 + 4x27 + 6x28 + 8x29 + 9x30 + 11x31 + 13x32 +

15x33 > b l .

2. Ixl + 0x2 + 2x3 + 1x4 + 0x5 + 4x6 + 3x7 + 2x8 + 1x9 + 0x10+ 5xl I + 4x12 +

3x13 + 2x14 + 1x15 + 0x16 + 7x17 + 6x18 + 5x19 + 4x20 + 3x21 + 2x22 + 1x23

+ 0x24 + 8x25 + 7x26 + 6x27 + 5x28 + 4x29 + 3x30 + 2x31 + 1x32 + 0x33 > b2.

3. 5x1 + 5x2 + 4x3 + 4x4 + 4x5 + 3x6 + 3x7 + 3x8 + 3x9 + 3x10 + 2x11 + 2x12 +

2x13 + 2x14 + 2x15 + 2x16 + 1x17 + 1x18 + 1x19 + 1x20 + 1x21 + 1x22 + 1x23

+ 1X24 + 0x25 + 0x26 + 0x27 + 0x28 + 0x29 + 0x30 + 0x31 + 0x32 + 0x33 > b3.

Kcterangan :

Xi = Jumlah pemotongan pada ke i

Bl = Banyaknya batang rotan yang diperlukan untuk panjang 36 cm.

B2 = Banyaknya batang rotan yang diperlukan untuk panjang 65 cm.

B3 = Banyaknya batang rotan yang diperlukan untuk panjang 95 cm.

14

Lampiran 13 : Alternatif Pola Pemotongan Bahan Baku Rotan Diameter 11,5/12

mm

P/T3560100Sisa

110515

202430

321420

440410

504310

62330

732325

851315

97035

1015215

113425

1243230

1362220

1481210

1510020

1607130

1726120

1845110

196410

2073125

P/T3560100Sisa

2192115

2211115

23120130

2409010

252800

2637025

2756015

287505

2984030

30103020

31122010

3214100

33150025

Kcterangan :

P = Panjang rotan yang diperlukan (cm )

T = Tcknik pemotongan

Sisa = Panjangnya rotan seteiah mengalami pemotongan ( cm ).

Berdasarkan teknik pemotongan bahan baku, maka dapat disusun model integer

programming sebagai berikut:

Tujuan : Min Z : 15xl + 30x2 + 20x3 + 10x4 + 10x5 + 0x6 + 25x7 + 15x8 + 5x9 +

15x10 + 5x11 + 30x12 + 20x13 + 10x14 + 0x15 + 30x16 + 20x17 +

10x18 + 0x19 + 25x20 + 15x21 + 5x22 + 30x23 + 10x24 + 0x25 +

25x26 + 15x27 + 5x28 + 30x29 + 20x30 + 10x31 + 0x32 + 25x33.

Dengan konstrain :

1. lxi + 0x2 + 2x3 + 4x4 + 0x5 + 2x6 + 3x7 + 5x8 + 7x9+ 1x10 + 3x11 + 4x12 +

6x13 +' 8x14 + 10x15 + 0x16 + 2x17 + 4x18 + 6x19 + 7x20 + 9x21 + 11x22 +

115

12x23 + 0x24 + 2x25 + 3x26 + 5x27 + 7x28 + 8x29 + 10x30 + 12x31 + 14x32 +

15x33 > bl .

2. Oxl + 2x2+ 1x3 + 0x4 + 4x5 + 3x6 + 2x7+ 1x8 + 0x9 + 5x10+ 4x11 + 3x12 +

2x13 + 1x14 + 0x15 + 7x16 + 6x17 + 5x18 + 4x19 + 3x20 + 2x21 + 1x22 + 0x23

+ 9x24 + 8x25 + 7x26 + 6x27 + 5x28 + 4x29 + 3x30 + 2x31 + 1 x32 + 0x33 > b2.

3. 5x1 + 4x2 + 4x3 + 4x4 + 3x5 + 3x6 + 3x7 + 3x8 + 3x9 + 2x10 + 2x11 + 2x12 +

2x13 + 2x14 + 2x15 + 2x16 + 1x17 + 1x18 + 1x19 + 1x20 + 1x21 + 1x22 + 1x23

+ 0x24 + 0x25 + 0x26 + 0x27 + 0x28 + 0x29 + 0x30 + 0x31 + 0x32 + 0x33 > b3.

Keterangan :

Xi = Jumlah pemotongan pada ke i

BI = Banyaknya batang rotan yang diperlukan untuk panjang 35 cm.

B2 = Banyaknya batang rotan yang diperlukan untuk panjang 60 cm.

B3 = Banyaknya batang rotan yang diperlukan untuk panjang 100 cm.

16

Lampiran 14 : Alternatif Pola Pemotongan Bahan Baku Rotan

Alternatif Pola Pemotongan Balian Baku Rotan Diameter 26/28 mm

Tcknik pcmolongan yang dilakukan hanya satu yaitu dengan melakukan

pemotongan bahan baku rotan dengan panjang 65 cm sebanyak 8 kali pemotongan

dan sisa pemotongan tersebut sebesar 30 cm.

Alternatif Pola Pemotongan Bahan Baku Rotan Diameter 12 mm

Teknik pemotongan yang dilakukan hanya satu yaitu dengan melakukan

pemotongan bahan baku rotan dengan panjang 42 cm sebanyak 13 kali

pemotongan dan sisa pemotongan tersebut sebesar 4 cm.

Alternatif Pola Pemotongan Bahan Baku Rotan Diameter 9 mm

Teknik pemotongan yang dilakukan hanya satu yaitu dengan melakukan

pemotongan bahan baku rotan dengan panjang 100 cm sebanyak 5 kali

pemotongan dan sisa pemotongan tersebut sebesar 50 cm.

117

Lampiran 15 : Pengujian Pola Distnbusi Data Permintaan Untuk Batang Rotan

Diameter 34/36 mm dengan Bantuan Software Statgraf.

Cursor at Row:Column:

Data Editor

File: LUK34 36

Maximum Rows:Number of Cols:

121

Row Dia3436

1 1122.2 1215.3 1470.4 I 69.5 1186.6 I 49.7 |240.8 I 57.9 | 57.

10 I 68.11 |214.

12 1470.13 I

14 I

Length 12Typ/Wth N/13

Distribution Fitting

Data vector: Di3436

Distributions available:(1) Bernoulli

(2) Binomial(3) Discrete uniform(4) Geometric

(5) Negative binomial(6) Poisson

Distribution number: 14

(7) Beta

(8) Chi-square

(9) Erlang

(10) Exponential

(11) F(12) Gamma

Mean: 184.75

Standard deviation: 150.633

(13) Lognormal

(14) Normal(15) Student's t(16) Triangular(17) Uniform

(18) Weibull

HistogramChi-square testK-S testTail areasCritical values

Estimated KOLMOGOROV statistic DPLUS = 0.19555Estimated KOLMOGOROV statistic DMINUS = 0.183741Estimated overall statistic DN = 0.19555Approximate significance level = 0.748444

18

Lampiran 16 : Pengujian Pola Distribusi Data Permintaan Untuk Batang Rotan

Diameter 32/34 mm dengan Bantuan Software Statgraf.

Cursor at Row:Column:

Row Dia3234

1 I 77.2 |220.3 1140.4 |204.567891.01.11.2L314

129.77.103.204.60.

191 .104.151.

Length 12Typ/Wth N/13

Data vector: Di3234

Distributions available:(1) Bernoulli(2) Binomial(3) Discrete uniform(4) Geometric(5) Negative binomial(6) Poisson

Distribution number: 14

Mean: 138.333

11

(7)(8)(9)

(10)(11)(12)

Standard deviation: 55.9258

Data Editor Maximum Rows: 12File: LUK3234 Number of Cols: 1

Distribution Fitting

Beta (13) LognormalChi-square (14) NormalErlang (1b) Student's tExponential (16) TriangularF (17) UniformGamma (18) Weibull

1 11 Histogram 11 Chi-square test 11 K-S test 11 Tail areas 11 Critical values I1 1

Estimated KOLMOGOROV statistic DPLUS = 0.147028Estimated KOLMOGOROV statistic DMINUS = 0.160169Estimated overall statistic DN = 0.160169Approximate significance level = 0.917873

19

Lampiran 17 : Pcngujian Pola Distribusi Data Pcimintaan Untuk Batang Rotan

Diameter 28/30 mm dengan Bantuan Software Statgraf.

Cursor at Row: Data Editor Maximum Rows: 12

Row Dia2830

1 |206.2 |190.3 |415.4 1153.5 |295.

6 1115.7 |408.8 1131.9 I 92.

10 |107.11 1191.

12 1412.13 I14 I

Length 12Typ/Wth N/13

Distribution Fitting

Data vector: Di2830

Distributions available:(1) Bernoulli(2) Binomial

(3) Discrete uniform(4) Geometric

(5) Negative binomial(6) Poisson

Distribution number: 14

(7) Beta

(8) Chi-square

(9) Erlang

(10) Exponential

(11) F(12) Gamma

Mean: 226.25Standard deviation: 124.285

(13) Lognormal

(14) Normal(15) Student's t(16) Triangular(17) Uniform

(18) Weibull

II HistogramI Chi-square testI K-S testI Taii areasI Critical values

I

Estimated KOLMOGOROV statistic DPLUS = 0.231383Estimated KOLMOGOROV statistic DMINUS = 0.17818Estimated overall statistic DN = 0.231383Approximate significance level = 0.541648

120

Lampiran 18 : Pengujian Pola Distribusi Data Permintaan Untuk Batang Rotan

Diameter 26/28 mm dengan Bantuan Software Statgraf.

Row

123456789

JO11121314

Cursor at Row:Column:

Dia2628

10.16.35.14.25.9.

19.11.8.

16.35.

Length 12Typ/Wth N/13

Data vector: Di2628

Distributions available:(1)(2)(3)(4)(5)(6)

BernoulliBinomialDiscrete uniformGeometricNegative binomialPoisson

Distribution number: 14

Mean: 17.25

11

(7)(8)(9)

(10)

(ID(12)

Standard deviation: 9.63068

Data EditorFile: LUK2628

Distribution Fitting

Beta (13)Chi-square (14)Erlang (15)Exponential (16)F (17)Gamma (18)

1

Maximum Rows: 12Number of Cols: 1

LognormalNormalStudent's tTriangularUniformWeibull

11 Histogram 11 Chi1 K-S

-square test Itest I

1 Tail areas 11 Critical values |

Estimated KOLMOGOROV statistic DPLUS = 0.218304Estimated KOLMOGOROV statistic DMINUS = 0.168408Estimated overall statistic DN = 0.218304Approximate significance level'= 0.616692

121

Lampiran 19 : Pengujian Pola Distribusi Data Permintaan Untuk Batang Rotan

Diameter 24/26 mm dengan Bantuan Software Statgraf.

Cursor at Row:Column:

Data EditorFile: LUK2426

Maximum Rows: 12Number of Cols: 1

Row Dia2426

1 1246.2 1369.3 1450.4 |434.5 1316.6 1277.

7 1264.8 1350.9 1451.

10 |391.

1.1 1252.1.2 1327.13 I14 I

Length 12

Typ/Wth N/13

Distribution Fitting

Data vector: Di2426

Distributions available:(1) Bernoulli(2) Binomial

(3) Discrete uniform(4) Geometric(5) Negative binomial

(6) Poisson

Distribution number: 14

Mean: 343.917

Standard deviation: 76.089

(7) Beta(8) Chi-square

(9) Erlang(10) Exponential

(11) F(12) Gamma

(13) Lognormal

(14) Normal

(15) Student's t(16) Triangular(17) Uniform

(18) Weibull+II HistogramI Chi-square testI K-S testI Tail areasI Critical valuesI

Estimated KOLMOGOROV statistic DPLUS = 0.143757Estimated KOLMOGOROV statistic DMINUS = 0.13.1777Estimated overall statistic DN = 0.143757Approximate significance level = 0.965216

122

Lampiran 20 : Pengujian Pola Distribusi Data Permintaan Untuk Batang Rotan

Diameter 22/24 mm dengan Bantuan Software Statgraf.

Cursor at Row:Column:

Row Dia2224

1 | 967.2 11155.3 11298.4 11411.5 11172.6 | 884.7 | 766.8 11138.9 12015.

10 11362.11 I 877.12 | 870.13 I14 |

Length 12Typ/Wth N/13

Data vector: Di2224

Distributions available:(1) Bernoulli(2) Binomial(3) Discrete uniform(4) Geometric(5) Negative binomial(6) Poisson

Distribution number: 14

Mean: 1159.58Standard deviation: 342.

11

(7)(8)(9)

(10)(11)(12)

102

Data Editor MaximumFile: LUK2224 Number of

Distribution Fitting

Beta (13) LognonnalChi-square (14) NormalErlang (15) Student's tExponential (16) TriangularF (17) UniformGamma (18) Weibull

1 Histogram1 Chi-square test1 K-S test1 Tail areas1 Critical values1

Rows :Cols:

1I11111

121

111

Estimated KOLMOGOROV statistic DPLUS = 0.152183Estimated KOLMOGOROV statistic DMINUS = 0.124 974Estimated overall statistic DN = 0.152183Approximate significance level = 0.943862

123

Lampiran 21 : Pengujian Pola Distribusi Data Permintaan Untuk Batang Rotan

Diameter 18/20 mm dengan Bantuan Software Statgral'.

Cursor at Row:Column:

Row Dial820

1 |387.2 1676.3 1607.4 1400.5 |281.6 |277.7 |359.8 1356.9 |398.

10 |434.11 1412.12 1512.13 I14 I

Length 12Typ/Wth N/13

Data vector: Dil820

Distributions available:(1) Bernoulli(2) Binomial(3) Discrete uniform(4) Geometric(5) Negative binomial(6) Poisson

Distribution number: 14

Mean: 424.917Standard deviation: 120.

11

(7)(8)(9)

(10)

(ID(12)

037

Data Editor Maximum Rows: 12File: LUK1820 Number of Cols: 1

Distribution Fitting

Beta (13) LognormalChi-square (14) NormalErlang (15) Student's tExponential (16) TriangularF (17) UniformGamma (18) Weibull

Histogram 1Chi-square test IK-S test |Tail areas 1Critical values |

1

Estimated KOLMOGOROV statistic DPLUS = 0.219839Estimated KOLMOGOROV statistic DMINUS = 0.116271Estimated overall statistic DN = 0.219839Approximate significance level = 0.607772

124

Lampiran 22 : Pcngujian Pola Dislribusi Data Perminlaan Unluk Batang Rolan

Diameter 12 mm dcngan Bantuan Software Statgraf

Row

123456

' 789

:L011121314

Cursor at Row:Column:

Dial2

120.|69.I 15.166.|22.120.119.|70.114.166.123.119.11

Length 12fyp/Wth N/13

11

Data EditorFile: LUK12

Maximum Rows: 12Number of Cols: 1

Distribution Fitting

Data vector: Dil2

Distributions available:(1) Bernoulli(2) Binomial(3) Discrete uniform(4) Geometric(5) Negative binomial(6) Poisson

Distribution number: 14

Mean: 35.25

(7)(8)(9)

(10)(11)(12)

Standard deviation: 24.1553

BetaChi-squareErlangExponentialF .Gamma

(13) Lognormal(14) Normal(15) Student's t16) Triangular(17) Uniform(18) Weibull

HistogramChi-square testK-S testTail areasCritical values

X -i

Estimated KOLMOGOROV statistic DPLUS = 0.3 60 638Estimated KOLMOGOROV statistic DMINUS = 0.231827Estimated overall statistic DN = 0.360638Approximate significance level = 0.0881799

125

Lampiran 23 : Pengujian Pola Distribusi Data Permintaan Untuk Batang Rotan

Diameter 11,5/12 mm dengan Bantuan Software Statgraf.

Cursor at Row:Column:

Data EditorFile: LUK11512

Maximum Rows: 12Number oC cols: 1

Row Diall512

1 1614.2 1541.3 |607.

4 1660.5 1420.6 1416.7 1360.8 1534.9 1597.

10 1650.11 |276.12 1408.13 I14 I

Length 12

Typ/Wth N/13

Distribution fitting

Data vector: Dill512

Distributions available:(1) Bernoulli

(2) Binomial

(3) Discrete uniform

(4) Geometric(5) Negative binomial(6) Poisson

Distribution number: 14

Mean: 506.917

Standard deviation: 126.46

(7) Beta(8) Chi-square

(9) Erlang(10) Exponential

(11) F(12) Gamma

(13) Lognot.mal(14) Normal

(15) Student's t

(16) Triangular(17) Uniform(18) WeibulJ

HistogramChi-square testK-S testTail areasCritical, values

Estimated KOLMOGOROV statistic DPLUS = 0.170724Estimated KOLMOGOROV statistic DMINUS = 0.178542Estimated overall statistic DN = 0.178542Approximate significance level = 0.838898

126

Lampiran 24 : Pengujian Pola Distribusi Data Permintaan Untuk Batang Rotan

Diameter 9 mm dengan Bantuan Software Statgral".

Row

1

234567

89

1011

1213

Cursor at Row:Column:

Dia9

81.117.128.141.91.S)2.79.

115.127.138.90.90.

Length 12

Typ/Wth N/13

11

Data EditorFile: LUK9

Maximum Rows: I?Number of Cols: 1

Distribution Fitting

Data vector: Di9

Distributions available:(1) Bernoulli(2) Binomial(3) Discrete uniform

(4) Geometric(5) Negative binomial(6) Poisson

Distribution number: 14

(7) Beta

(8) • Chi-square(9) Erlang

(10) Exponential

(11) F(12) Gamma

Mean: 107.417

Standard deviation: 22.6413

(13) Lognormal(14) Normal(15) Student's t

(16) Triangular(17) Uniform

(18) Weibull

HistogramChi-square testK-S testTail areasCritical values

Estimated KOLMOGOROV statistic DPLUS = 0.252041

Estimated KOLMOGOROV statistic DMINUS = 0.139794

Estimated overall statistic DN = 0.252041

Approximate significance level = 0.430927

Lampiran 25: Test Kcnormalan Data

127

Bahan Baku Rotan

[Diameter 34/36 mmDiameter 32/34 mmDiameter 28/30 mmDiameter 26/28 mmDiameter 24/26 mmDiameter 22/24 mmDiameter 18/20 mmDiameter 12 mmDiameter 11,5/12 mmDiameter 9 mm

Significant Level

0,7484440,9178730,5416480,6166920,9652160,9438620,6077720,08817990,8388980,430927

DN

0,195550,1601690,2313830,2183040,1437570,1521830,2198390,3606380,1785420,252041

DN( t )

0,3750,3750,3750,3750,3750,3750,3750,3750,3750,375

Keterangan

NormalNormalNormalNormalNormalNormalNormalNormalNormalNormal

128

Lampiran 26 : Tabel Teknik Pemotongan bahan baku rotan diameter 34/36 mm

dan 32/34 mm

Bahan Baku Rotan Diameter 34/36 mm

Bulan

Januari 1998

Fcbruari 1998

Maret 1998

April 1998

Mei 1998

Juni 1998

Juli 1998

Agustus 1998

September 1998

Oktober 1998

November 1998

Dcsember 1998

Q

122

215

470

69

186

49

240575768

214470

Panjang 62 cm

Demand

146

258

564

218

400

156

292

178

124146

258

564

OnHand50

96

282

64

248

92

188

10

66

134

220408

Panjang 65 cm

Demand

146

258

564

218

400

156

292

178

124

146

258

564

OnHand0

0

0

4

4

6

0

8

43

1

1

I'anjang 100 cm

Demand

146

258

564

218

400

156

292

178

124

146

258

564

OnHand1 '

11

3

1

1

0

21

1

1

1

Panjang 105 cm

Demand

146

258

564

218

400

156

292

178

124

146

258564

OnHand. 146

404

968

750

350

194

474296

172

26

280

844

Bahan Baku Kotan Diameter 32/34 mm

13 u la n

Januari 1998

Februari 1998

Maret 1998

April 1998

Mei 1998

Juni 1998

Juli 1998

Agustus 1998

September 1998

Oktober 1998

November 1998

Desember 1998

0

77220

140

204

129

77

103

20460

191

104

151

Panjang 42 cm

Demand

144

516

108

488

168

144

144

516

108488

168

144

OnHand5

78

2

49

14

3

49

19

50

Panjang 50 cm

Demand

144

516

108

488

168

144

144

516

108

488

168

144

OnHand9

2

73

3

4

7

1

6

5

3

7

Panjang 93 cm

Demand

144

516

108

488

168

144

144

516

108

488

168

144

OnHand1

0

2

4

12

3

2

4

1

3

4

Panjang 100 cm

Demand

146

258

564

218

400156

292

178124146

258

564

OnHand3

23

552

5

1

23

3

3

129

Lampiran 27: Tabel Teknik Pemotongan bahan baku rotan diamcler 28/30 mm

dan 18/20 mm

Bahan Baku Uotan Diameter 28/30 mm

Dulan

Januari 1998

Februari 1998

Maret 1998

April 1998

Mci 1998

Juni 1998

Juli 1998

Agustus 1998

September 1998

Oktober 1998

November 1998

Dcsember 1998

0

206

190

415

153

295

115

408

131

92

107

191

412

Panjang 15 cm

Demand

292

516

1128

436

800

312

584

356

248

292516

1128

On Hand

3416

2900

1772

1336

536

224

6984

6628

6380

6088

5572

4444

Panjang 28 cm

Demand

146

258

564

218

400

156

292

178

124

146

258

564

On Hand

4

8

3

10

13

8

4

11

15

12

67

5

Panjang 56 cm

Demand

949

1677

3666

1417

2600

1014

1898

1157

806

949

1677

3666

On Hand

6

3

80

4

5

8

6

1

5

1

7

4

Bahan Baku Rotan Diameter 18/20 mm

Bulan

Januari 1998

Februari 1998

Maret 1998

April 1998

Mei 1998

Juni 1998

Juli 1998

Agustus 1998

September 1998

Oktober 1998

November 1998

Desember 1998

Q

387676

607

400

281

111

359

356

398

434

412

512

Panjang 36 cm

Demand

3654

5414

6064

6004

4204

4158

3598

5338

5968

6508

4128

4092

On Hand

6

0

6

2

13

10

2

46

8

0

4

Panjang 65 cm

Demand

146258564

218

400

156292

178124146

258564

On Hand

12447

1883

1665

1265

1109

817

639

515369

111

1595

Panjang 95 cm

Demand

146

258

564

218

400

156292

178124

146258

564

On Hand

607349

999

781

' 381

225651473349

203769

205

130

Lampiran 28 : Tabel Tcknik Pemotongan bahan baku rotan diameter 11,5/12 mm

Bulan

Januari 1998

Februari 1998

Maret 1998

April 1998

Mei 1998

Juni 1998

Juli 1998

Agustus 1998

September 1998

Oktober 1998

November 1998

Desember 1998

Q

614

541

607

660

420

416

360

534

597

650

276

408

Panjang 35 cm

Demand

3654

5414

6064

6604

4204

4158

3598

5338

5968

6508

4128

4092

On Hand

6

2

8

4

0

2

4

6

8

0

12

0

Panjang 60 cm

Demand

178

218

178

218

178

216

176

216

176

216

176

214

On Hand

2272

2054

1876

1658

1480

1264

1088

872

696

480

304

90

Panjang 100 cm

Demand

624

952

1106

1190

734

702

614

938

1088

1172

720

690

On Hand

0

130

238

368

476

606

712

842

948

1076

356

482

Lampiran 29: Tabel Teknik Pemotongan bahan baku rotan diameter 22/24 mm

Bulan

Januari 1998Februari 1998Maret 1998April 1998Mei 1998Juni 1998Juli 1998Agustus 1998September 1998Oktober 1998November 1998Desember 1998

Q

9671155129814111172884766113820151362877870

Panjang 32 cmDemand445665847348801251165076438864927232789650244996

On Hand10531055155505611012

Panjang 43 cmDemand485771697990871655725535478370697864859054725448

On Hand49125125702448

Panjang 77 cmDemand

178218178218178216176216176216176214

On Hand63341523719

18481632145612401064848672458

Panjang 78 cmDemand

3612927122423636129271224236

On Hand5263973702482061701345

5033491148694833

Panjang 118 cmDemand6249521106119073470261493810881172720690

On Hand002002022220

^am

pira

n 30

: T

abel

Tek

nik

Pem

oton

gan

baha

n ba

ku r

otan

den

gan

diam

eter

26/

28 m

m,

12 m

m d

an 9

mm

Bah

an B

aku

Rot

an D

iam

eter

26/

28 m

m D

enga

n P

anja

ng 6

5 cm

Bul

an

Q Dem

and

On

Han

d

Janu

ari

1998 10 73 7

Febr

uari

1998 16 129 6

Mar

et19

98 35 282 4

Apr

il19

98 14 109 7

Mei

1998

25^

20

0 7

Juni

1998 9 78 1

Juli

1998 19 147 6

Agu

stus

1998 11 89 5

Sept

embe

r19

98 8 62 7

Okt

ober

1998 9 73 6

Nov

embe

r19

98 16 129 5

Des

embe

r19

98 35 282 3

Bul

an

Q Dem

and

On

Han

d

Janu

ari

1998 20 252 8

Febr

uari

1998 69 903 2

Bah

aiM

aret

1998 15 189 8

i Bak

u R

otan

Dia

met

er 1

2 m

m D

enga

n P

anja

ng 4

2 cm

Apr

il19

98 66 854

12

Mei

1998 22 294 4

Juni

1998 20 252

12

Juli

1998 19 259 0

Agu

stus

1998 70 903 7

Sept

embe

r19

98 14 189 0

Okt

ober

1998 66 854 1

Nov

embe

r19

98 23 294 6

Des

embe

r19

98 19 252 1

!

• B

ulan

Q Dem

and

On

Han

d

Janu

ari

1998 81 401 4

Febr

uari

1998

117

585 4

Bah

arM

aret

1998

128

642 2

i Bak

u R

otan

Dia

met

er 9

mm

Apr

il19

9814

1

704

Mei

1998 91 456

•2

Juni

1998 92 459 3

Juli

1998 79 395 3

Den

gan

Pan

jang

100

cm

Agu

stus

?998

115

577 1

Sept

embe

r19

9812

763

2 4

Okt

ober

1998

138

694 0

Nov

embe

r19

98 90 448 2

Des

embe

r19

98 90 452 0

to

Lampiran 31 : Tabel Kolmogorov Sinirnov

133

Sample sizeN

1

234567

89101112

13

14

15

,2025

3035

Level

0.20.900

0.6840.5650.4940.4460.4100.3810.3580.339

0.3220.307

0.295

0.284

0.274

0.266

0.231

0.210

0.190

0.180

0.150.9250.7260.5970.5750.4240.4360.4050.381

0.3600.342

0.326

0.313

0.302

0.292

0.293

. 0.246

0.220

0.200

0.190

0.10.95

0.7760.6420.5640.5100.4700.4380.411

0.388

0.368

0.452

0.338

0.325

0.314

0.304

0.264

0.240

0.2200.210

0.050.975

0.8420.7080.6240.4540.5210.4860.457

0.432

0.410

0.391

0.375

0.361

0.349

0.338

0.294

0.270

0.240

0.230

0.010.995

0.9290.8280.7330.6690.6180.5770.543

0.514

0.490

0.468

0.405

0.433

0.4180.404

0.356

0.320

0.2900.270

_ampiran 32: Tabel Berat Rotan Per meter

134

BahanBahan polesBahan polesBahan polesBahan polesBahan polesBahan polesBahan poles

Bahan poles

Bahan polesBahan poles

Bahan poles

Bahan poles

Bahan poles

Core

Core

Core

CoreCore

CoreCore

CoreCore

Core

Core

Core

Size42/4440/4238/4036/3834/3632/34

30/32

28/30

26/2824/26

22/24

20/22

18/20

18

16

15

1413

1211

10

9

8

7

6

Pcrincian4.4x4.4x0.0364.2x4.2x0.0364.0x4.0x0.0363.8x3.8x0.0363.6x3.6x0.0363.4 x 3.4 x 0.0363.2x3.2x0.0363.0x3.0x0.0362.8x2.8x0.0362.6x2.6x0.0362.4x2.4x0.0362.2x2.2x0.0362.0x2.0x0.0361.8x1.8x0.0361.6 x 1.6x0.0361.5 x 1.5x0.0361.4 x 1.4x0.0361.3 x 1.3x0.0361.2x1.2x0.0361.1 x 1.1 x 0.0361.0 x 1.0x0.0360.9 x 0.9 x 0.0360.8x0.8x0.0360.7x0.7x0.0360.6x0.6x0.036

Jumlah (kg)0.6970.6350.5760.520.4670.4160.369

0.324

0.282

0.243

0.207

0.174

0.144

0.117

0.092

0.081

0.0710.061

0.0520.044

0.036

0.029

0.023

0.0180.013

135

Lampiran 33: Tabel Statistical Concepts And Methods ( Tabel Normal )

Table 4 ( Continued

z0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2.0

2.1

2.2

2.3

2.4

2.52.62.72.8

2.9

3.0

3.1

3.2

3.3

3.4

3.5

0.00

0.5000

05398

0.5793

0.6179

0.6554

0.6915

0.7257

0.7580

0.7881

0.8159

0.8413

0.8643

0.8849

0.9032

0.9192

0.9332

0.9452

0.9554

0.9641

0.9713

0.9772

0.9821

0.9861

0.9893

0.9918

0.9938

0.9953

0.9965

0.9974

0.9981

0.9987

0.9990

0.9993

0.9995

0.9997

0.9998

0.01

0.5040

0.5438

0.5832

0.6217

0.6591

0.6950

0.7291

0.7611

0.7910

0.8186

0.8438

0.8665

0.8869

0.9049

0.9207

0.9345

09463

0.9564

0.9649

0.9719

0.9778

0.9826

0.9864

0.9896

0.9920

0.9940

0.9955

0.9966

0.9975

0.9982

0.9987

0.9991

0.9993

0.9995

0.9997

0.9998

0.02

0.5080

0 5478

0.5871

0.6255

0.6628

0.6985

0.7324

0.7642

0.7939

0.8212

0.8461

0.8686

0.8888

0.9066

0.9222

0.9357

0.9474

0.9573

0.9656

0.9726

0.9783

0.9830

0.9868

0.9898

0.9922

0.9941

0.9956

0.9967

0.9976

0.9982

0.9987

0.9991

0.9994

0.9995

0.9997

0.9998

0.03

0.5120

0.5517

0.5910

0.6293

0.6664

0.7019

0.7357

0.7673

0.7967

0.8238

0.8485

0.8708

0 8907

0.9082

0.9236

0.9370

0.9484

0.9582

0.9664

0.9732

0.9788

0.9834

0.9871

0.9901

0.9925

0.9943

0.9957

0.9968

0.9977

0.9983

0.9988

0.9991

0.9994

0.9996

0.9997

0.9998

0.04

0.5160

0.5557

0.5948

0.6331

0.6700

0.7054

0.7389

0.7703

0.7995

0.8264

0.8508

0.8729

0.8925

0.9099

0.9251

0.9382

0.9495

0.9591

0.9671

0.9738

0.9793

0.9838

0.9875

0.9904

0.9927

0.9945

0.9959

0.9969

0.9977

0.9984

09988

0.9992

0.9994

0.9996

0.9997

0.9998

0.05

0.5199

0.5596

0.5987

0.6368

0.6736

0.7088

0.7422

0.7734

0.8023

0.8289

0.8531

0.8749

0 8944

0.9115

0.9265

0.9394

0.9505

0.9599

0.9678

0.9744

0.9798

0.9842

0.9878

0.9906

0.9929

0.9946

0.9960

0.9970

0.9978

0.9984

0.9989

0.9992

0.9994

0.9996

0.9997

0.9998

0.06

0.5239

0.5636

0.6026

0.6406

06772

0.7123

0.7454

0.7764

0.8051

0.8315

08554

0.8770

0.8962

0.9131

0.9279

0.9406

0.9515

0.9608

0.9686

0.9750

0.9803

0.9846

0.9881

0.9909

0.9931

0.9948

0.9961

0.9971

0.9979

0.9985

0.9989

0.9992

0.9994

0.9996

0.9997

0.9998

0.07

0.5279

0.5675

0.6064

0.6443

0.6808

0.7157

0.7486

0.7794

0.8078

0.8340

0.8572

08790

0 8980

0.9147

0.9292

0.9418

0.9525

0.9616

0.9693

0.9756

09808

0.9850

0.9884

0.9911

0.9932

0.9949

0.9962

0.9972

0.9979

0.9985

0.9989

0.9992

0.9995

0.9996

0.9997

0.9998

0.08

0.5319

0.5714

0.6103

0.6480

0.6844

0.7190

0.7517

0.7823

0.8106

0.8365

0.8599

0.8810

0.8997

0.9162

0.9306

0.9429

0,9535

0.9625

0.9699

0.9761

0.9812

0.9854

0.9887

0.9913

09934

0.9951

0.9963

0.9973

0.9980

0.9986

0.9990

0.9993

0.9995

0 9996

0.9997

0 9998

0.09

0.5359

0.5753

0.6141

0.6517

0.6879

0.7224

0.7549

0.7852

0.8133

08389

0.8621

0.8830

0.9015

0.9177

0 9319

0.9441

0.9545

0.9633

0.9706

0.9767

0.9817

0.9857

0.9890

0.9916

0.9936

0.9952

0.9964

0.9974

0.9981

0.9986

0.9990

0.9993

0.9995

0.9997

0.9998

0.9998

136

Lampiran 34: Kartu Kendali Bahan Baku Rotan

KARTU PENGENDALIAN PERSEDIAAN BAHAN BAKU

Nama Bahan Baku : Batang Rotan.Diameter Bahan Baku : xx / xx mm.Waktu Pasok : 2 hari ( 0,067 bulan ).Nama Petugas : xxxxxxxxxxxxxxxxxx.

No Tanggal Tingkat Persediaan Sisa Keterangan Paraf Petugas