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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