Perbaikan Supply Chain di Sektor Logistik PT. Central Proteinaprima
(2)
LAMPIRAN LOSS OPPORTUNITY COST PT. CENTRAL PROTEINAPRIMA TAHUN 2015
Loss Opportunity Cost Produk Irawan 9001 Tahun 2015
Bulan Stok (Kg)
Produksi (Kg)
Permintaan (Kg)
Selisih (Kg)
Opportunity Loss Cost PT.
JWL
PT. SWMS
PT. BWP
CV.
WS Total
Januari 2.530 17.200 7.318 5.817 3.941 1.689 18.765 965 Februari 965 24.850 6.720 4.753 3.606 1.311 16.390 9.425
Maret 9.425 23.330 12.704 9.034 4.799 1.694 28.230 4.525 April 4.525 27.590 11.806 7.028 6.184 3.092 28.110 4.005 Mei 4.005 31.120 12.294 8.577 6.004 1.715 28.590 6.535 Juni 6.535 31.970 10.388 4.028 4.240 2.544 21.200 17.305
Juli 17.305 19.090 8.484 5.656 3.636 2.424 20.200 16.195 Agustus 16.195 7.080 9.280 7.888 3.712 2.320 23.200 75
September 75 25.020 14.204 7.520 3.899 2.228 27.850 -2.755 (Rp28.927.500) Oktober - 22.180 9.232 6.012 3.221 3.006 21.470 -2.045 (Rp21.472.500) November - 24.110 8.914 5.014 2.600 2.043 18.570 3.495
Desember 3.495 30.260 12.614 4.760 4.522 1.904 23.800 9.955 Total 60.255 266.600 116.639 70.268 46.422 24.281 276.375 (Rp50.400.000) Sumber: PT. Central Proteina Prima
(3)
Loss Opportunity Cost Produk Irawan 682 Tahun 2015
Bulan Stok (Kg)
Produksi (Kg)
Permintaan (Kg)
Selisih (Kg)
Opportunity Loss Cost PT.
JWL
PT. SWMS
PT. BWP
CV.
WS Total
Januari 970 79.600 21.692 10.846 10.846 5.916 49.300 31.270 Februari 31.270 64.980 22.648 14.304 14.900 7.748 59.600 36.650 Maret 36.650 71.980 50.243 32.070 17.104 7.483 106.900 1.730
April 1.730 158.400 46.152 35.896 29.486 16.666 128.200 31.930 Mei 31.930 82.350 47.779 20.173 22.297 15.926 106.175 8.105 Juni 8.105 125.250 63.323 31.662 20.702 6.089 121.775 11.580
Juli 11.580 107.330 46.097 15.656 15.656 9.567 86.975 31.935 Agustus 31.935 101.700 53.632 31.181 24.945 14.967 124.725 8.910 September 8.910 124.430 49.193 26.939 28.110 12.884 117.125 16.215
Oktober 16.215 66.680 41.368 14.352 16.041 12.664 84.425 -1.530 Rp (14.535.000) November - 95.900 30.879 26.590 20.586 7.720 85.775 10.125
Desember 10.125 119.830 60.612 30.306 25.255 10.102 126.275 3.680
Total 189.420 1.198.430 533.617 289.975 245.927 127.732 1.197.250 Rp (14.535.000) Sumber: PT. Central Proteina Prima
(4)
Loss Opportunity Cost Produk Irawan 683 Tahun 2015
Bulan Stok (Kg)
Produksi (Kg)
Permintaan (Kg)
Selisih (Kg)
Opportunity Loss Cost PT.
JWL
PT. SWMS
PT. BWP
CV.
WS Total
Januari 2.120 291.100 101.850 55.775 48.500 36.375 242.500 50.720
Februari 50.720 191.000 110.329 46.583 56.390 31.873 245.175 -3.455 Rp (31.095.000) Maret - 256.580 119.021 51.009 43.722 29.148 242.900 13.680
April 13.680 338.030 143.705 108.655 66.595 31.545 350.500 1.210 Mei 1.210 275.430 115.259 74.095 57.629 27.443 274.425 2.215 Juni 2.215 288.080 124.025 73.288 53.556 31.006 281.875 8.420 Juli 8.420 351.430 115.372 85.789 65.082 29.583 295.825 64.025 Agustus 64.025 238.530 142.395 56.958 49.191 10.356 258.900 43.655 September 43.655 345.080 191.647 52.868 66.085 19.826 330.425 58.310 Oktober 58.310 210.280 122.280 77.089 26.583 39.874 265.825 2.765 November 2.765 240.700 105.624 55.013 30.807 28.607 220.050 23.415
Desember 23.415 243.780 145.989 46.827 49.581 33.054 275.450 -8.255 Rp (74.295.000) Total 270.535 3.270.020 1.537.494 783.948 613.721 348.688 3.283.850 Rp (105.390.000) Sumber: PT. Central Proteina Prima
(5)
Loss Opportunity Cost Produk Irawan 683-SP Tahun 2015
Bulan Stok (Kg)
Produksi (Kg)
Permintaan (Kg)
Selisih (Kg)
Opportunity Loss Cost PT.
JWL
PT. SWMS
PT. BWP
CV.
WS Total
Januari 45.500 273.450 114.774 93.060 68.244 34.122 310.200 8.750 Februari 8.750 213.200 68.013 76.257 43.281 18.549 206.100 15.850
Maret 15.850 204.200 65.861 48.974 33.775 20.265 168.875 51.175
April 51.175 272.100 114.028 117.381 77.136 26.830 335.375 -12.100 Rp (121.000.000) Mei - 310.400 114.582 88.140 67.574 23.504 293.800 16.600
Juni 16.600 398.600 126.242 110.940 95.638 49.732 382.550 32.650
Juli 32.650 259.080 92.117 109.946 68.345 26.744 297.150 -5.420 Rp (54.200.000) Agustus - 265.400 78.888 66.432 39.444 22.836 207.600 57.800
September 57.800 253.580 101.747 101.747 77.081 27.749 308.325 3.055 Oktober 3.055 257.600 104.519 61.182 61.182 28.042 254.925 5.730 November 5.730 229.030 77.634 49.231 37.870 24.616 189.350 45.410 Desember 45.410 254.930 88.086 57.885 83.053 22.651 251.675 48.665
Total 282.520 3.191.570 1.146.490 981.175 752.622 325.638 3.205.925 Rp (175.200.000) Sumber: PT. Central Proteina Prima
(6)
Loss Opportunity Cost Produk Irawan 684-S Tahun 2015
Bulan Stok (Kg)
Produksi (Kg)
Permintaan (Kg)
Selisih (Kg)
Opportunity Loss Cost PT.
JWL
PT. SWMS
PT. BWP
CV.
WS Total
Januari 9.800 181.150 80.786 39.454 39.454 28.181 187.875 3.075 Februari 3.075 172.530 58.149 37.382 38.766 4.154 138.450 37.155
Maret 37.155 299.600 124.014 73.281 50.733 33.822 281.850 54.905 April 54.905 243.480 76.981 33.181 15.927 6.636 132.725 165.660
Mei 165.660 276.580 96.601 32.200 28.811 11.863 169.475 272.765 Juni 272.765 204.450 137.403 77.775 38.888 5.185 259.250 217.965 Juli 217.965 243.100 113.036 37.679 35.585 23.026 209.325 251.740 Agustus 251.740 236.550 142.224 68.149 56.297 29.630 296.300 191.990 September 191.990 331.430 111.110 66.666 63.888 36.111 277.775 245.645 Oktober 245.645 291.750 115.477 52.078 38.492 20.378 226.425 310.970 November 310.970 259.480 145.007 91.956 67.198 49.515 353.675 216.775 Desember 216.775 141.600 68.058 45.900 26.907 17.410 158.275 200.100
Total 1.978.445 2.881.700 1.268.844 655.699 500.946 265.911 2.691.400 Sumber: PT. Central Proteina Prima
(7)
PERAMALAN PRODUK IRAWAN 682 – PT. JWL
Irawan 682
Bulan
Demand
Januari21.692
Februari22.648
Maret50.243
April46.152
Mei47.779
Juni63.323
Juli46.097
Agustus53.632
September49.193
Oktober41.368
November30.879
Desember60.612
Total
533.617
Metode Peramalan Terpilih:
•
Metode Kuadratis
•
Metode Siklis
1.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 21.692 1 1 1 21.692 21.692 13 24.557
2 22.648 4 8 16 45.296 90.592 14 32.232
3 50.243 9 27 81 150.729 452.187 15 38.690
4 46.152 16 64 256 184.608 738.432 16 43.932
5 47.779 25 125 625 238.894 1.194.469 17 47.957
6 63.323 36 216 1.296 379.938 2.279.628 18 50.766 7 46.097 49 343 2.401 322.677 2.258.741 19 52.359 8 53.632 64 512 4.096 429.054 3.432.432 20 52.736 9 49.193 81 729 6.561 442.733 3.984.593 21 51.897 10 41.368 100 1.000 10.000 413.683 4.136.825 22 49.841 11 30.879 121 1.331 14.641 339.669 3.736.359 23 46.569 12 60.612 144 1.728 20.736 727.344 8.728.128 24 42.081 78 533.617 650 6.084 60.710 3.696.316 31.054.077 222 533.617
(8)
�=�� �2�2− � � �4
�= (650)2−(12 × 60.710) =−306.020
�=� � � � − � � ��
�= (78 × 533.617)−(12 × 3.696.316) =−2.733.666 �=� �2� � − � � �2�
�= (650 × 533.617)−(12 × 31.054.077) =−25.797.874 �=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716
�=�� − ��
�� − �2 = 9.498,714
�=� − ��
� =−608,1283 �=∑ � − � ∑ � − � ∑ �
2
� = 15.666,727
�′=�+��+��2
�′= 15.666,727 + 9.498,714�+ (−608,1283)�2
�′= 15.666,727 + 9.498,714(1) + (−608,1283)(1)2
=24.557,31≈24.557
����=∑��=1|���|
�
= 2,26
12
= 18,85%
2.
Metode Siklis
Jumlah periode adalah:
�
=
12
(9)
SIKLIS
t Y Sin(2πt/n) Cos(2πt/n)
Sin
(2πt/n)*Cos (2πt/n)
Sin^2
(2πt/n) (2πt/n)Cos^2 Y*Sin(2πt/n) Y*Cos(2πt/n)
1 21692 1,000 0,000 0,000 1,000 0,000 21692,00 0
2 22648 0,000 -1,000 0,000 0,000 1,000 0,00 -22648
3 50243 -1,000 0,000 0,000 1,000 0,000 -50243,00 0
4 46152 0,000 1,000 0,000 0,000 1,000 0,00 46152
5 47778,75 1,000 0,000 0,000 1,000 0,000 47778,75 0
6 63323 0,000 -1,000 0,000 0,000 1,000 0,00 -63323
7 46096,75 -1,000 0,000 0,000 1,000 0,000 -46096,75 0
8 53631,75 0,000 1,000 0,000 0,000 1,000 0,00 53631,75
9 49192,5 1,000 0,000 0,000 1,000 0,000 49192,50 0
10 41368,25 0,000 -1,000 0,000 0,000 1,000 0,00 -41368,25
11 30879 -1,000 0,000 0,000 1,000 0,000 -30879,00 0
12 60612 0,000 1,000 0,000 0,000 1,000 0,00 60612
78 533617 0 0 0 6 6 -8555,5 33056,5
∑ y = n a + b ∑ sin�2πt
n� + c ∑ cos� 2πt
n� 533.617 = 4 a + b (0) + c (0)
a =533.617
12
a = 44.468,083
∑ y sin�2πtn� =a ∑ sin�2πt
n� + b ∑ sin 2
�2πtn�+ c ∑ sin�2πt n�cos�
2πt n� -8555,5 = 44.468,083 (0) + b (0) + c (0)
b = −8555 ,5
6
b = -1425,916
∑ y cos �2πt
n� = a ∑ cos � 2πt
n�+ c ∑ cos 2�2πt
n�+ b ∑ sin� 2πt
n�cos� 2πt
n� 33.056,5 = 44.468,083 (0) + c (6) + -1425,916 (0)
c = 33.056 ,5
6
c = 5509,416
y’= a + b sin �2πt n�+ c�
2πt n�
y’= 44.468,083 – 1425,916 sin �2πt
n� +5509,416 cos � 2πt
n�
(10)
����
=
∑��=1|���|�
=
3,28 12= 27,29%
Metode Terpilih: Kuadratis
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL 21.692 24.557 -2.865 - 54.694,06 -54.694,06 22.648 32.232 -9.584 6.718,33 54.694,06 -54.694,06 50.243 38.690 11.553 21.136,93 54.694,06 -54.694,06 46.152 43.932 2.220 9.332,82 54.694,06 -54.694,06 47.779 47.957 -178 2.398,81 54.694,06 -54.694,06 63.323 50.766 12.557 12.734,95 54.694,06 -54.694,06 46.097 52.359 -6.263 18.819,30 54.694,06 -54.694,06 53.632 52.736 896 7.158,21 54.694,06 -54.694,06 49.193 51.897 -2.704 3.599,78 54.694,06 -54.694,06 41.368 49.841 -8.473 5.768,53 54.694,06 -54.694,06 30.879 46.569 -15.690 7.217,27 54.694,06 -54.694,06 60.612 42.081 18.531 34.221,24 54.694,06 -54.694,06
129.106,15
-40.000 -20.000 0 20.000 40.000
P
T
.
JW
L
Peramalan Irawan 682 tahun
2016
Irawan 682 UCL LCL
(11)
PERAMALAN PRODUK IRAWAN 683 – PT. JWL
Irawan 682
Bulan
Demand
Januari
101.850
Februari
110.329
Maret
119.021
April
143.705
Mei
115.259
Juni
124.025
Juli
115.372
Agustus
142.395
September
191.647
Oktober
122.280
November
105.624
Desember
145.989
Total
1.537.494
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Kuadratis
1.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y' 1 101.850 11,53 11,53 1 112.965 2 110.329 11,61 23,22 4 115.263 3 119.021 11,69 35,06 9 117.607 4 143.705 11,88 47,50 16 119.999 5 115.259 11,65 58,27 25 122.439 6 124.025 11,73 70,37 36 124.930 7 115.372 11,66 81,59 49 127.471 8 142.395 11,87 94,93 64 130.063 9 191.647 12,16 109,47 81 132.709 10 122.280 11,71 117,14 100 135.408 11 105.624 11,57 127,24 121 138.162 12 145.989 11,89 142,70 144 140.972 78 1.537.494 140,95 919,03 650 1.517.987
(12)
�=� ∑ �.��� − ∑ � ∑ ���
� ∑ �2−(∑ �)2
�=(12 × 919,03)−(78 × 140,95)
(12 × 650)−782 =−0,0200135
ln� =∑ ��� − � ∑ �
� = 11,614
�= 110.713,2
�′ =����
�′ = 110.713,2�−0,0200135�
�′ = 110.713,2�−0,0200135 (1)= 112.964,95≈112.965
����=∑��=1|���|
�
= 1,357
12
= 11,24%
2.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 101.850 1 1 1 101.850 101.850 13 102.712
2 110.329 4 8 16 220.658 441.315 14 111.130
3 119.021 9 27 81 357.063 1.071.189 15 118.408
4 143.705 16 64 256 574.820 2.299.280 16 124.547
5 115.259 25 125 625 576.293 2.881.463 17 129.548
6 124.025 36 216 1.296 744.150 4.464.900 18 133.409 7 115.372 49 343 2.401 807.602 5.653.216 19 136.130 8 142.395 64 512 4.096 1.139.160 9.113.280 20 137.713 9 191.647 81 729 6.561 1.724.819 15.523.367 21 138.157 10 122.280 100 1.000 10.000 1.222.795 12.227.950 22 137.461 11 105.624 121 1.331 14.641 1.161.864 12.780.504 23 135.626 12 145.989 144 1.728 20.736 1.751.862 21.022.344 24 132.653 78 1.537.494 650 6.084 60.710 10.382.935 87.580.657 222 1.537.494
�=�� �2�2− � � �4
�= (650)2−(12 × 60.710) =−306.020
�=� � � � − � � ��
�= (78 × 1.537.494)−(12 × 10.382.935) =−4.670.724 �=� �2� � − � � �2�
(13)
�=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716
�=�� −��
�� −�2= 10126,336
�=�−��
� = -569,574 �=∑ �−� ∑ �−� ∑ �
2
� = 93155,227
�′=�+��+��2
�′= 93155,227 + 9.498,714�+ (−608,1283)�2
�′= 93155,227 + 9.498,714(1) + (−608,1283)(1)2
=
102.711,99
≈102.712
����=∑��=1|���|
�
= 1,35
12
= 11,21%
Metode Terpilih: Kuadratis
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
101.850 102.712 -862 - 65.490,63 -65.490,63 110.329 111.130 -801 61,14 65.490,63 -65.490,63 119.021 118.408 613 1.413,79 65.490,63 -65.490,63 143.705 124.547 19.158 18.544,69 65.490,63 -65.490,63 115.259 129.548 -14.289 33.446,67 65.490,63 -65.490,63 124.025 133.409 -9.384 4.905,48 65.490,63 -65.490,63 115.372 136.130 -20.759 11.375,12 65.490,63 -65.490,63 142.395 137.713 4.682 25.440,53 65.490,63 -65.490,63 191.647 138.157 53.490 48.807,93 65.490,63 -65.490,63
(14)
y y't e=y-y't |MR| UCL LCL
122.280 137.461 -15.182 68.671,42 65.490,63 -65.490,63 105.624 135.626 -30.002 14.820,77 65.490,63 -65.490,63 145.989 132.653 13.336 43.338,38 65.490,63 -65.490,63
270.825,91
-80.000 -60.000 -40.000 -20.000 0 20.000 40.000 60.000 80.000
P
T
.
JW
L
Peramalan Irawan 683 tahun 2016
Irawan 683 UCL LCL
(15)
PERAMALAN PRODUK IRAWAN 683-SP – PT. JWL
Irawan 682
Bulan
Demand
Januari114.774
Februari68.013
Maret
65.861
April114.028
Mei
114.582
Juni126.242
Juli92.117
Agustus78.888
September101.747
Oktober
104.519
November77.634
Desember88.086
Total
1.146.490
Metode Peramalan Terpilih:
•
Metode Kuadratis
•
Metode Siklis
1.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 114.774 1 1 1 114.774 114.774 13 89.274 2 68.013 4 8 16 136.026 272.052 14 93.664 3 65.861 9 27 81 197.584 592.751 15 97.079 4 114.028 16 64 256 456.110 1.824.440 16 99.519 5 114.582 25 125 625 572.910 2.864.550 17 100.984 6 126.242 36 216 1.296 757.449 4.544.694 18 101.473 7 92.117 49 343 2.401 644.816 4.513.709 19 100.987 8 78.888 64 512 4.096 631.104 5.048.832 20 99.526 9 101.747 81 729 6.561 915.725 8.241.527 21 97.089 10 104.519 100 1.000 10.000 1.045.193 10.451.925 22 93.677 11 77.634 121 1.331 14.641 853.969 9.393.654 23 89.290 12 88.086 144 1.728 20.736 1.057.035 12.684.420 24 83.928
(16)
�=�� �2�2− � � �4
�= (650)2−(12 × 60.710) =−306.020
�=� � � � − � � ��
�= (78 ×1.146.490)−(12 ×7.382.694) = 833.898 �=� �2� � − � � �2�
�= (650 ×1.146.490)−(12 ×60.547.328) = 18.650.570 �=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716
�=�� − ��
�� − �2 = 5.853,246
�=� − ��
� =−487,630 �=∑ � − � ∑ � − � ∑ �
2
� = 83.908,066
�′=�+��+��2
�′= 83.908,066 + 5.853,246 + (−487,630)�2
�′= 83.908,066 + 5.853,246(1) + (−487,630)(1)2 =89.273,68≈89.274
����=∑��=1|���|
�
= 2,22
12
= 18,50%
2.
Metode Siklis
Jumlah periode adalah:
�
=
12
(17)
SIKLIS
t Y Sin(2πt/n) Cos(2πt/n)
Sin
(2πt/n)*Cos (2πt/n)
Sin^2
(2πt/n) (2πt/n)Cos^2 Y*Sin(2πt/n) Y*Cos(2πt/n)
1 114774 0,866 0,500 0,433 0,750 0,250 99394,28 57387
2 68013 0,866 -0,500 -0,433 0,750 0,250 58899,26 -34006,5
3 65861,25 0,000 -1,000 0,000 0,000 1,000 0,00 -65861,25
4 114027,5 -0,866 -0,500 0,433 0,750 0,250 -98747,82 -57013,75
5 114582 -0,866 0,500 -0,433 0,750 0,250 -99228,01 57291
6 126241,5 0,000 1,000 0,000 0,000 1,000 0,00 126241,5
7 92116,5 0,866 0,500 0,433 0,750 0,250 79772,89 46058,25
8 78888 0,866 -0,500 -0,433 0,750 0,250 68317,01 -39444
9 101747,25 0,000 -1,000 0,000 0,000 1,000 0,00 -101747,25
10 104519,25 -0,866 -0,500 0,433 0,750 0,250 -90513,67 -52259,625 11 77633,5 -0,866 0,500 -0,433 0,750 0,250 -67230,61 38816,75
12 88086,25 0,000 1,000 0,000 0,000 1,000 0,00 88086,25
78 1.146.490 0 0 0 6 6 -49.336,665 63.548,375
∑ y = t a + b ∑ sin�2πt
n� + c ∑ cos� 2πt
n� 1.146.490 = 12 a + b (0) + c (0)
a =1.146 .490
12
a = 95.540,833
∑ y sin�2πt
n� =a ∑ sin�
2πt
n� + b ∑ sin 2�2πt
n�+ c ∑ sin� 2πt
n�cos� 2πt
n� -49.336,665 = 95.540,833 (0) + b (6) + c (0)
b = −49.336 ,665 6
b = -8.222,778
∑ y cos �2πtn� = a ∑ cos �2πt
n�+ c ∑ cos 2�2πt
n�+ b ∑ sin� 2πt
n�cos� 2πt
n� 63.548,375 = 95.540,833 (0) + c (6) + -8.222,778 (0)
c = 63.548 ,375
6
c = 10.591,395
y’= a + b sin �2πt n�+ c�
2πt n�
y’= 95.540,833 – 8.222,778 sin �2πt
n� +5509,416 cos � 2πt
n�
(18)
����
=
∑��=1|���|�
=
1,96 12= 16,32%
Metode Terpilih: Siklis
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
114.774 93.716 21.058 - 49.378,57 -49.378,57 68.013 83.124 -15.111 36.169,60 49.378,57 -49.378,57 65.861 84.949 -19.088 3.976,98 49.378,57 -49.378,57 114.028 97.366 16.661 35.749,63 49.378,57 -49.378,57 114.582 107.957 6.625 10.036,90 49.378,57 -49.378,57 126.242 106.132 20.109 13.484,73 49.378,57 -49.378,57 92.117 93.716 -1.599 21.708,38 49.378,57 -49.378,57 78.888 83.124 -4.236 2.637,10 49.378,57 -49.378,57 101.747 84.949 16.798 21.034,02 49.378,57 -49.378,57 104.519 97.366 7.153 9.644,62 49.378,57 -49.378,57 77.634 107.957 -30.324 37.477,15 49.378,57 -49.378,57 88.086 106.132 -18.046 12.277,98 49.378,57 -49.378,57
204.197,08
-100.000 -50.000 0 50.000 100.000
P
T
.
JW
L
Peramalan Irawan 683-SP tahun
2016
Irawan 683-SP UCL
(19)
Irawan 682
Bulan
Demand
Januari80.786
Februari58.149
Maret124.014
April
76.981
Mei96.601
Juni137.403
Juli
113.036
Agustus142.224
September111.110
Oktober115.477
November145.007
Desember68.058
Total
1.268.844
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Siklis
1.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y'
1 80.786 11,2996 11,2996 1 86.060
2 58.149 10,9708 21,9415 4 88.699
3 124.014 11,7281 35,1844 9 91.419
4 76.981 11,2513 45,0052 16 94.223
5 96.601 11,4783 57,3917 25 97.112
6 137.403 11,8307 70,9840 36 100.090
7 113.036 11,6355 81,4482 49 103.160
8 142.224 11,8652 94,9213 64 106.323
9 111.110 11,6183 104,5645 81 109.584
10 115.477 11,6568 116,5682 100 112.944
11 145.007 11,8845 130,7299 121 116.408
12 68.058 11,1281 133,5374 144 119.978
78 1.268.844 138,3472 903,5760 650 1.226.000
�=� ∑ �.��� − ∑ � ∑ ���
(20)
�=(12 × 903,57)−(78 × 138,34)
(12 × 650)−782 =−0,030206
ln�=∑ ��� − � ∑ �
� = 11,33259
�= 83.499,2
�′ =����
�′ = 83.499,2�−0,0302065�
�′ = 83.499,2�−0,0302065 (1)= 86.059,85≈86.060
����=∑��=1|���|
�
= 2,69
12
= 22,42%
2.
Metode Siklis
Jumlah periode adalah:
�
=
12
3
= 4
SIKLISt Y Sin(2πt/n) Cos(2πt/n)
Sin
(2πt/n)*Cos (2πt/n)
Sin^2
(2πt/n) (2πt/n)Cos^2 Y*Sin(2πt/n) Y*Cos(2πt/n)
1 80786 1,000 0,000 0,000 1,000 0,000 80786,25 0
2 58149 0,000 -1,000 0,000 0,000 1,000 0,00 -58149
3 124014 -1,000 0,000 0,000 1,000 0,000 -124014,00 0
4 76981 0,000 1,000 0,000 0,000 1,000 0,00 76980,5
5 96601 1,000 0,000 0,000 1,000 0,000 96600,75 0
6 137403 0,000 -1,000 0,000 0,000 1,000 0,00 -137402,5
7 113036 -1,000 0,000 0,000 1,000 0,000 -113035,50 0
8 142224 0,000 1,000 0,000 0,000 1,000 0,00 142224
9 111110 1,000 0,000 0,000 1,000 0,000 111110,00 0
10 115477 0,000 -1,000 0,000 0,000 1,000 0,00 -115476,75
11 145007 -1,000 0,000 0,000 1,000 0,000 -145006,75 0
12 68058 0,000 1,000 0,000 0,000 1,000 0,00 68058,25
(21)
∑ y = t a + b ∑ sin�2πt
n� + c ∑ cos� 2πt
n� 1.268.844 = 12 a + b (0) + c (0)
a =1.268 .844
12
a = 105.737,02
∑ y sin�2πtn� =a ∑ sin�2πt
n� + b ∑ sin 2
�2πtn�+ c ∑ sin�2πt n�cos�
2πt n� -48.237,499 = 95.540,833 (0) + b (4) + c (0)
b = −93.559,25
4
b = -23.389,81
∑ y cos �2πt
n� = a ∑ cos � 2πt
n�+ c ∑ cos 2�2πt
n�+ b ∑ sin� 2πt
n�cos� 2πt
n� 26.455 = 95.540,833 (0) + c (4) + -8.222,778 (0)
c = −23.765,5
4
c = -5.941,375
y’= a + b sin �2πt n�+ c�
2πt n�
y’= 105.737,02 – 23.389,81 sin �2πt
n� - 5.941,375 cos � 2πt
n�
y’= 105.737,02 – 23.389,81 sin (0,866) - 5.941,375 co�(−0,500) = 82.347,208
����
=
∑��=1|���|�
=
2,92 12= 24,34%
(22)
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
80.786 86.060 -5.274 - 93.883,39 -93.883,39 58.149 88.699 -30.550 25.276,42 93.883,39 -93.883,39 124.014 91.419 32.595 63.144,89 93.883,39 -93.883,39 76.981 94.223 -17.242 49.837,02 93.883,39 -93.883,39 96.601 97.112 -511 16.730,75 93.883,39 -93.883,39 137.403 100.090 37.312 37.823,64 93.883,39 -93.883,39 113.036 103.160 9.876 27.436,44 93.883,39 -93.883,39 142.224 106.323 35.901 26.024,93 93.883,39 -93.883,39 111.110 109.584 1.526 34.374,58 93.883,39 -93.883,39 115.477 112.944 2.532 1.006,18 93.883,39 -93.883,39 145.007 116.408 28.599 26.066,37 93.883,39 -93.883,39 68.058 119.978 -51.920 80.518,35 93.883,39 -93.883,39
388.239,58 -150.000 -100.000 -50.000 0 50.000 100.000 150.000 Jan u ar i F e b ru a ri M a re t A p ri l M e i Ju n i Ju li A g u st u s S e p te m b e r O k to b e r N o v e m b e r D e se m b e r P T . JW L
Peramalan Irawan 684-S tahun 2016
Irawan 684-S LCL
(23)
PERAMALAN PRODUK IRAWAN 9001 – PT. SWMS
Irawan 9001
Bulan Demand
Januari 5.817
Februari 4.753
Maret 9.034
April 7.028
Mei 8.577
Juni 4.028
Juli 5.656
Agustus 7.888
September 7.520
Oktober 6.012
November 5.014
Desember 4.760
Total 76085
Metode Peramalan Terpilih:
•
Metode Kuadratis
•
Metode Siklis
1.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 5.817 1 1 1 5.817 5.817 13 5.867
2 4.753 4 8 16 9.506 19.012 14 6.324
3 9.034 9 27 81 27.101 81.302 15 6.670
4 7.028 16 64 256 28.110 112.440 16 6.904 5 8.577 25 125 625 42.885 214.425 17 7.027 6 4.028 36 216 1.296 24.168 145.008 18 7.039 7 5.656 49 343 2.401 39.592 277.144 19 6.940 8 7.888 64 512 4.096 63.104 504.832 20 6.729 9 7.520 81 729 6.561 67.676 609.080 21 6.407 10 6.012 100 1.000 10.000 60.116 601.160 22 5.974 11 5.014 121 1.331 14.641 55.153 606.682 23 5.430 12 4.760 144 1.728 20.736 57.120 685.440 24 4.774
(24)
�=�� �2�2− � � �4
�= (650)2−(12 × 60.710) =−306.020
�=� � � � − � � ��
�= (78 × 76.085)−(12 × 480.348) = 170.487 �=� �2� � − � � �2�
�= (650 × 76.085)−(12 × 3.862.342) = 3.107.369 �=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716
�=�� − ��
�� − �2 = 623,8973
�=� − ��
� =−55,6345 �=∑ � − � ∑ � − � ∑ �
2
� = 8.298,648
�′=�+��+��2
�′= 8.298,648 + 623,8973�+ (−55,6345)�2
�′= 8.298,648 + 623,8973(1) + (−55,6345)(1)2 =5.866,91≈5.867
����=∑��=1|���|
�
= 2,16
12
= 18,00%
2.
Metode Siklis
Jumlah periode adalah:
�
=
12
(25)
SIKLIS
t Y Sin(2πt/n) Cos(2πt/n)
Sin
(2πt/n)*Cos (2πt/n)
Sin^2
(2πt/n) (2πt/n)Cos^2 Y*Sin(2πt/n) Y*Cos(2πt/n)
1 5.817 0,866 0,500 0,433 0,750 0,250 5037,65 2908,575 2 4.753 0,866 -0,500 -0,433 0,750 0,250 4116,18 -2376,55 3 9.034 0,000 -1,000 0,000 0,000 1,000 0,00 -9033,6 4 7.028 -0,866 -0,500 0,433 0,750 0,250 -6085,82 -3513,75 5 8.577 -0,866 0,500 -0,433 0,750 0,250 -7427,68 4288,5 6 4.028 0,000 1,000 0,000 0,000 1,000 0,00 4028 7 5.656 0,866 0,500 0,433 0,750 0,250 4898,10 2828 8 7.888 0,866 -0,500 -0,433 0,750 0,250 6831,01 -3944 9 7.520 0,000 -1,000 0,000 0,000 1,000 0,00 -7519,5 10 6.012 -0,866 -0,500 0,433 0,750 0,250 -5206,05 -3005,8 11 5.014 -0,866 0,500 -0,433 0,750 0,250 -4342,04 2506,95 12 4.760 0,000 1,000 0,000 0,000 1,000 0,00 4760
78 76085 0 0 0 6 6 -2178,6395 -8073,175
∑ y = t a + b ∑ sin�2πt
n� + c ∑ cos� 2πt
n� 76.085 = 12 a + b (0) + c (0)
a =76.085
12
a = 6.340,445
∑ y sin�2πt
n� =a ∑ sin�
2πt
n� + b ∑ sin 2�2πt
n�+ c ∑ sin� 2πt
n�cos� 2πt
n� -2.178,6395 = 6.340,445 (0) + b (6) + c (0)
b = −2.178,639
6
b = -363,106
∑ y cos �2πtn� = a ∑ cos �2πt
n�+ c ∑ cos 2�2πt
n�+ b ∑ sin� 2πt
n�cos� 2πt
n� -8.073,175 = 6.340,445 (0) + c (6) + -363,106 (0)
c = −8.073,175
6
c = -1.345,529
y’= a + b sin �2πt n�+ c�
2πt n� y’= 6.340,445 – 363,106 sin �2πt
n� – 1.345,529 cos � 2πt
n�
(26)
����
=
∑��=1|���|�
=
1,91 12= 15,93%
Metode Terpilih: Siklis
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL 5.817 5.353 464 - 4.727,56 -4.727,56 4.753 6.699 -1.946 2.409,58 4.727,56 -4.727,56 9.034 7.686 1.348 3.293,29 4.727,56 -4.727,56 7.028 7.328 -300 1.647,79 4.727,56 -4.727,56 8.577 5.982 2.595 2.895,03 4.727,56 -4.727,56 4.028 4.995 -967 3.561,79 4.727,56 -4.727,56 5.656 5.353 303 1.269,69 4.727,56 -4.727,56 7.888 6.699 1.189 886,47 4.727,56 -4.727,56 7.520 7.686 -166 1.355,71 4.727,56 -4.727,56 6.012 7.328 -1.316 1.149,59 4.727,56 -4.727,56 5.014 5.982 -968 347,83 4.727,56 -4.727,56 4.760 4.995 -235 733,31 4.727,56 -4.727,56
19.550,07 -6.000 -4.000 -2.000 0 2.000 4.000 6.000 Jan u ar i F e b ru a ri M a re t A p ri l M e i Ju n i Ju li A g u st u s S e p te m b e r O k to b e r N o v e m b e r D e se m b e r P T . S W M S
Permintaan Irawan 9001 tahun 2016
Irawan 9001 LCL
(27)
PERAMALAN PRODUK IRAWAN 682 – PT. SWMS
Irawan 682
Bulan
Demand
Januari10.846
Februari14.304
Maret32.070
April35.896
Mei20.173
Juni31.662
Juli15.656
Agustus31.181
September26.939
Oktober14.352
November26.590
Desember30.306
Total
289.975
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Siklis
1.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y'
1 10.846 9,2916 9,2916 1 18.460
2 14.304 9,5683 19,1366 4 19.145
3 32.070 10,3757 31,1270 9 19.856
4 35.896 10,4884 41,9535 16 20.593
5 20.173 9,9121 49,5606 25 21.357
6 31.662 10,3629 62,1771 36 22.149
7 15.656 9,6586 67,6100 49 22.971
8 31.181 10,3476 82,7806 64 23.824
9 26.939 10,2013 91,8119 81 24.708
10 14.352 9,5717 95,7166 100 25.625
11 26.590 10,1883 112,0713 121 26.576
12 30.306 10,3191 123,8292 144 27.562
(28)
�=� ∑ �.��� − ∑ � ∑ ���
� ∑ �2−(∑ �)2
�=(12 × 787,066)−(78 × 120,285)
(12 × 650)−782 = 0,03643
ln� =∑ ��� − � ∑ �
� = 9,7869
�= 17.799,488
�′ =����
�′ = 17.799,488�0,03643�
�′ = 17.799,488�0,03643 (1)= 18.460,06≈18.460
����
=
∑��=1|���|�
=
3,8712
= 32,24
3.
Metode Siklis
Jumlah periode adalah:
�
=
12
3
= 4
SIKLISt Y Sin(2πt/n) Cos(2πt/n)
Sin
(2πt/n)*Cos (2πt/n)
Sin^2
(2πt/n) (2πt/n)Cos^2 Y*Sin(2πt/n) Y*Cos(2πt/n)
1 10.846 0,866 0,500 0,433 0,750 0,250 9392,64 5423 2 14.304 0,866 -0,500 -0,433 0,750 0,250 12387,26 -7152 3 32.070 0,000 -1,000 0,000 0,000 1,000 0,00 -32070 4 35.896 -0,866 -0,500 0,433 0,750 0,250 -31085,94 -17948 5 20.173 -0,866 0,500 -0,433 0,750 0,250 -17470,03 10086,625 6 31.662 0,000 1,000 0,000 0,000 1,000 0,00 31661,5 7 15.656 0,866 0,500 0,433 0,750 0,250 13557,66 7827,75 8 31.181 0,866 -0,500 -0,433 0,750 0,250 27002,96 -15590,625 9 26.939 0,000 -1,000 0,000 0,000 1,000 0,00 -26938,75 10 14.352 -0,866 -0,500 0,433 0,750 0,250 -12429,05 -7176,125 11 26.590 -0,866 0,500 -0,433 0,750 0,250 -23027,16 13295,125 12 30.306 0,000 1,000 0,000 0,000 1,000 0,00 30306
(29)
∑ y = t a + b ∑ sin�2πt
n� + c ∑ cos� 2πt
n� 289.975 = 12 a + b (0) + c (0)
a =289.975
12
a = 24.164,562
∑ y sin�2πtn� =a ∑ sin�2πt
n� + b ∑ sin 2
�2πtn�+ c ∑ sin�2πt n�cos�
2πt n� -21.671,65 = 24.164,562 (0) + b (4) + c (0)
b = −21.671,65
4
b = -5417,912
∑ y cos �2πt
n� = a ∑ cos � 2πt
n�+ c ∑ cos 2�2πt
n�+ b ∑ sin� 2πt
n�cos� 2πt
n� -8.275,5 = 24.164,562 (0) + c (4) + (-5417,912) (0)
c = −8.275,5
4
c = -2.068,875
y’= a + b sin �2πt n�+ c�
2πt n�
y’= 24.164,562 – 5417,912 sin �2πt
n� - 2.068,875 cos � 2πt
n�
y’= 24.164,562 – 5417,912 sin (0,866) - 2.068,875 co�(−0,500) = 18.438
����
=
∑��=1|���|�
=
4,11 12= 34,25%
(30)
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
10.846 18.460 -7.614 - 27.627,24 -27.627,24 14.304 19.145 -4.841 2.772,91 27.627,24 -27.627,24 32.070 19.856 12.214 17.055,49 27.627,24 -27.627,24 35.896 20.593 15.303 3.089,12 27.627,24 -27.627,24 20.173 21.357 -1.184 16.486,98 27.627,24 -27.627,24 31.662 22.149 9.512 10.695,66 27.627,24 -27.627,24 15.656 22.971 -7.316 16.828,00 27.627,24 -27.627,24 31.181 23.824 7.357 14.673,24 27.627,24 -27.627,24 26.939 24.708 2.231 5.126,65 27.627,24 -27.627,24 14.352 25.625 -11.273 13.503,46 27.627,24 -27.627,24 26.590 26.576 14 11.287,01 27.627,24 -27.627,24 30.306 27.562 2.744 2.729,46 27.627,24 -27.627,24
114.247,98
-40.000 -30.000 -20.000 -10.000 0 10.000 20.000 30.000 40.000
P
T
.
S
W
M
S
Permintaan 682 tahun 2016
Irawan 682 LCL UCL
(31)
PERAMALAN PRODUK IRAWAN 683 – PT. SWMS
Irawan 683
Bulan
Demand
Januari55.775
Februari46.583
Maret51.009
April108.655
Mei
74.095
Juni73.288
Juli85.789
Agustus56.958
September52.868
Oktober77.089
November55.013
Desember46.827
Total
783.948
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Kuadratis
1.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y' 1 55.775 10,929 10,929 1 65.321 2 46.583 10,749 21,498 4 64.918 3 51.009 10,840 32,519 9 64.518 4 108.655 11,596 46,384 16 64.120 5 74.095 11,213 56,065 25 63.725 6 73.288 11,202 67,213 36 63.331 7 85.789 11,360 79,518 49 62.941 8 56.958 10,950 87,601 64 62.553 9 52.868 10,876 97,880 81 62.167 10 77.089 11,253 112,527 100 61.783 11 55.013 10,915 120,068 121 61.402 12 46.827 10,754 129,050 144 61.024
(32)
�=� ∑ �.��� − ∑ � ∑ ���
� ∑ �2−(∑ �)2
�=(12 × 861,253)−(78 × 132,637)
(12 × 650)−782 =−0,006187
ln�=∑ ��� − � ∑ �
� = 11,0932
�= 65.726,669
�′ =����
�′ = 65.726,669�−0,006187�
�′ = 65.726,669�−0,006187 (1)= 65.321,27≈65.321
����=∑��=1|���|
�
= 2,67
12
= 22,28%
2.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 55.775 1 1 1 55.775 55.775 13 50.951 2 46.583 4 8 16 93.167 186.333 14 59.898 3 51.009 9 27 81 153.027 459.081 15 66.944 4 108.655 16 64 256 434.620 1.738.480 16 72.091 5 74.095 25 125 625 370.474 1.852.369 17 75.338 6 73.288 36 216 1.296 439.725 2.638.350 18 76.686 7 85.789 49 343 2.401 600.525 4.203.673 19 76.134 8 56.958 64 512 4.096 455.664 3.645.312 20 73.683 9 52.868 81 729 6.561 475.812 4.282.308 21 69.331 10 77.089 100 1.000 10.000 770.893 7.708.925 22 63.081 11 55.013 121 1.331 14.641 605.138 6.656.513 23 54.930 12 46.827 144 1.728 20.736 561.918 6.743.016 24 44.880
78 783.948 650 6.084 60.710 5.016.736 40.170.135 222 783.948
�=�� �2�2− � � �4
(33)
�=� � � � − � � ��
�= (78 × 783.948)−(12 × 5.016.736) = 947.112 �=� �2� � − � � �2�
�= (650 × 783.948)−(12 × 40.170.135) = 27.524.586 �=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716 �=�� −��
�� −�2= 11.795,578
�=�−��
� = -949,808 �=∑ �−� ∑ �−� ∑ �2
� = 40.105,693
�′=�+��+��2
�′= 40.105,693 + 11.795,578�+ (−949,808)�2
�′= 40.105,693 + 11.795,578(1) + (−949,808)(1)2
=50.951,46≈50.951
����=∑��=1|���|
�
= 2,03
12
= 16,89%
(34)
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
55.775 50.951 4.824 - 48.164,67 -48.164,67 46.583 59.898 -13.314 18.137,90 48.164,67 -48.164,67 51.009 66.944 -15.935 2.620,79 48.164,67 -48.164,67 108.655 72.091 36.564 52.499,08 48.164,67 -48.164,67 74.095 75.338 -1.244 37.807,55 48.164,67 -48.164,67 73.288 76.686 -3.399 2.154,94 48.164,67 -48.164,67 85.789 76.134 9.655 13.053,68 48.164,67 -48.164,67 56.958 73.683 -16.725 26.379,70 48.164,67 -48.164,67 52.868 69.331 -16.463 261,16 48.164,67 -48.164,67 77.089 63.081 14.009 30.472,03 48.164,67 -48.164,67 55.013 54.930 82 13.926,35 48.164,67 -48.164,67 46.827 44.880 1.946 1.864,01 48.164,67 -48.164,67
199.177,20
-60.000 -40.000 -20.000 0 20.000 40.000 60.000
P
T
.
S
W
M
S
Permintaan 683 tahun 2016
Irawan 683 LCL UCL
(35)
PERAMALAN PRODUK IRAWAN 683-SP – PT. SWMS
Irawan 683-SP
Bulan
Demand
Januari
93.060
Februari76.257
Maret48.974
April117.381
Mei
88.140
Juni
110.940
Juli109.946
Agustus66.432
September101.747
Oktober
61.182
November49.231
Desember57.885
Total
981.175
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Kuadratis
1.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y' 1 93.060 11,441 11,441 1 93.198 2 76.257 11,242 22,484 4 90.256 3 48.974 10,799 32,397 9 87.406 4 117.381 11,673 46,693 16 84.647 5 88.140 11,387 56,933 25 81.975 6 110.940 11,617 69,700 36 79.387 7 109.946 11,608 81,254 49 76.880 8 66.432 11,104 88,831 64 74.453 9 101.747 11,530 103,772 81 72.103 10 61.182 11,022 110,216 100 69.826 11 49.231 10,804 118,847 121 67.622 12 57.885 10,966 131,595 144 65.487
(36)
�=� ∑ �.��� − ∑ � ∑ ���
� ∑ �2−(∑ �)2
�=(12 × 874,164)−(78 × 135,193)
(12 × 650)−782 =−0,032079
ln�=∑ ��� − � ∑ �
� = 11,474
�= 96.236,405
�′ =����
�′ = 96.236,405�−0,032079�
�′ = 96.236,405�−0,032079 (1)= 93.198,16≈93.198
����=∑��=1|���|
�
= 2,96
12
= 24,68%
2.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 93.060 1 1 1 93.060 93.060 13 74.916 2 76.257 4 8 16 152.514 305.028 14 83.470 3 48.974 9 27 81 146.921 440.764 15 89.831 4 117.381 16 64 256 469.525 1.878.100 16 93.999 5 88.140 25 125 625 440.700 2.203.500 17 95.975 6 110.940 36 216 1.296 665.637 3.993.822 18 95.759 7 109.946 49 343 2.401 769.619 5.387.330 19 93.350 8 66.432 64 512 4.096 531.456 4.251.648 20 88.748 9 101.747 81 729 6.561 915.725 8.241.527 21 81.954 10 61.182 100 1.000 10.000 611.820 6.118.200 22 72.967 11 49.231 121 1.331 14.641 541.541 5.956.951 23 61.788 12 57.885 144 1.728 20.736 694.623 8.335.476 24 48.417 78 981.175 650 6.084 60.710 6.033.141 47.205.406 25 981.175
�=�� �2�2− � � �4
(37)
�=� � � � − � � ��
�= (78 × 981.175)−(12 × 6.033.141) = 4.133.919 �=� �2� � − � � �2�
�= (650 × 981.175)−(12 × 47.205.406) = 71.298.559 �=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716 �=�� −��
�� −�2= 11.795,578
�=�−��
� = -1.096,254 �=∑ �−� ∑ �−� ∑ �2
� = 64.170,272
�′=�+��+��2
�′= 64.170,272 + 11.795,578�+ (−1.096,254)�2
�′= 64.170,272 + 11.795,578(1) + (−1.096,254)(1)2
= 74.916,28≈74.916
����=∑��=1|���|
�
= 2,84
12
= 23,68%
(38)
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
93.060 74.916 18.144 - 76.000,01 -76.000,01 76.257 83.470 -7.213 25.356,50 76.000,01 -76.000,01 48.974 89.831 -40.857 33.644,24 76.000,01 -76.000,01 117.381 93.999 23.382 64.239,02 76.000,01 -76.000,01 88.140 95.975 -7.835 31.217,22 76.000,01 -76.000,01 110.940 95.759 15.181 23.016,03 76.000,01 -76.000,01 109.946 93.350 16.596 1.415,04 76.000,01 -76.000,01 66.432 88.748 -22.316 38.911,95 76.000,01 -76.000,01 101.747 81.954 19.793 42.109,31 76.000,01 -76.000,01 61.182 72.967 -11.785 31.578,68 76.000,01 -76.000,01 49.231 61.788 -12.557 771,92 76.000,01 -76.000,01 57.885 48.417 9.468 22.025,84 76.000,01 -76.000,01
314.285,76
-100.000 -80.000 -60.000 -40.000 -20.000 0 20.000 40.000 60.000 80.000 100.000
P
T
.
S
W
M
S
Permintaan 683-SP tahun 2016
Irawan 683-SP LCL
(39)
PERAMALAN PRODUK IRAWAN 684-S – PT. SWMS
Irawan 684-S
Bulan
Demand
Januari
39.454
Februari37.382
Maret73.281
April33.181
Mei
32.200
Juni
77.775
Juli37.679
Agustus68.149
September66.666
Oktober52.078
November91.956
Desember45.900
Total
655.699
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Kuadratis
1.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y' 1 39.454 10,583 10,583 1 40.483 2 37.382 10,529 21,058 4 42.275 3 73.281 11,202 33,606 9 44.147 4 33.181 10,410 41,639 16 46.101 5 32.200 10,380 51,899 25 48.141 6 77.775 11,262 67,569 36 50.272 7 37.679 10,537 73,758 49 52.498 8 68.149 11,129 89,036 64 54.822 9 66.666 11,107 99,967 81 57.248 10 52.078 10,860 108,605 100 59.783 11 91.956 11,429 125,720 121 62.429 12 45.900 10,734 128,811 144 65.192
(40)
�=� ∑ �.��� − ∑ � ∑ ���
� ∑ �2−(∑ �)2
�=(12 × 874,164)−(78 × 135,193)
(12 × 650)−782 = 0,04331
ln�=∑ ��� − � ∑ �
� = 10,5653
�= 38.767,114
�′ =����
�′ = 38.767,114�0,04331�
�′ = 38.767,114�0,04331 (1)= 40.483,17≈40.483
����=∑��=1|���|
�
= 3,41
12
= 28,43%
2.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 39.454 1 1 1 39.454 39.454 13 39.439
2 37.382 4 8 16 74.763 149.526 14 43.194
3 73.281 9 27 81 219.843 659.529 15 46.652
4 33.181 16 64 256 132.725 530.900 16 49.812
5 32.200 25 125 625 161.001 805.006 17 52.676
6 77.775 36 216 1.296 466.650 2.799.900 18 55.241
7 37.679 49 343 2.401 263.750 1.846.247 19 57.510
8 68.149 64 512 4.096 545.192 4.361.536 20 59.481
9 66.666 81 729 6.561 599.994 5.399.946 21 61.155
10 52.078 100 1.000 10.000 520.778 5.207.775 22 62.532
11 91.956 121 1.331 14.641 1.011.511 11.126.616 23 63.612
12 45.900 144 1.728 20.736 550.797 6.609.564 24 64.394
78 655.699 650 6.084 60.710 4.586.457 39.535.998 25 655.699
�=�� �2�
2
− � � �4
(41)
�=� � � � − � � ��
�= (78 × 655.699)−(12 × 4.586.457) =−3.892.937 �=� �2� � − � � �2�
�= (650 ×655.699)−(12 × 39.535.998) =−48.227.464 �=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716 �=�� −��
�� −�2= 4.201,006
�=�−��
� = -148,645 �=∑ �−� ∑ �−� ∑ �2
� = 35.386,710
�′=�+��+��2
�′= 35.386,710 + 4.201,006�+ (−148,645)�2
�′= 35.386,710 + 4.201,006(1) + (−148,645)(1)2
= 39.439,07≈39.439
����=∑��=1|���|
�
= 3,59
12
= 29,95%
(42)
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
39.454 40.483 -1.029 - 73.503,79 -73.503,79 37.382 42.275 -4.894 3.864,27 73.503,79 -73.503,79 73.281 44.147 29.134 34.028,15 73.503,79 -73.503,79 33.181 46.101 -12.919 42.053,94 73.503,79 -73.503,79 32.200 48.141 -15.941 3.021,69 73.503,79 -73.503,79 77.775 50.272 27.503 43.443,73 73.503,79 -73.503,79 37.679 52.498 -14.819 42.321,85 73.503,79 -73.503,79 68.149 54.822 13.327 28.146,64 73.503,79 -73.503,79 66.666 57.248 9.418 3.909,73 73.503,79 -73.503,79 52.078 59.783 -7.705 17.122,40 73.503,79 -73.503,79 91.956 62.429 29.527 37.231,42 73.503,79 -73.503,79 45.900 65.192 -19.293 48.819,22 73.503,79 -73.503,79
303.963,04 -100.000 -80.000 -60.000 -40.000 -20.000 0 20.000 40.000 60.000 80.000 100.000 Jan u ar i F e b ru a ri M a re t A p ri l M e i Ju n i Ju li A g u st u s S e p te m b e r O k to b e r N o v e m b e r D e se m b e r P T . S W M S
Permintaan 684-S tahun 2016
Irawan 684-S LCL
(43)
PERAMALAN PRODUK IRAWAN 9001 – PT. BWP
Irawan 9001
Bulan Demand
Januari 3.941 Februari 3.606 Maret 4.799 April 6.184
Mei 6.004
Juni 4.240 Juli 3.636 Agustus 3.712 September 3.899 Oktober 3.221 November 2.600 Desember 4.522
Total 50.363
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Siklis
2.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y'
1 3.941 8,279 8,279 1 4.772
2 3.606 8,190 16,381 4 4.638
3 4.799 8,476 25,429 9 4.509
4 6.184 8,730 34,919 16 4.382
5 6.004 8,700 43,501 25 4.259
6 4.240 8,352 50,114 36 4.140
7 3.636 8,199 57,390 49 4.024
8 3.712 8,219 65,755 64 3.911
9 3.899 8,268 74,416 81 3.802
10 3.221 8,077 80,773 100 3.695
11 2.600 7,863 86,495 121 3.592
12 4.522 8,417 101,001 144 3.491
(44)
�=� ∑ �.��� − ∑ � ∑ ���
� ∑ �2−(∑ �)2
�=(12 × 644,452)−(78 × 99,771)
(12 × 650)−782 =−0,0284
ln� =∑ ��� − � ∑ �
� = 8,4989
�= 4.909,609
�′ =����
�′ = 4.909,609�−0,0284�
�′ = 4.909,609�−0,0284(1)= 4.772,09≈4.772
����=∑��=1|���|
�
= 2,11
12
= 17,55%
4.
Metode Siklis
Jumlah periode adalah:
�
=
12
2
= 6
SIKLISt Y Sin(2πt/n) Cos(2πt/n)
Sin
(2πt/n)*Cos (2πt/n)
Sin^2
(2πt/n) (2πt/n)Cos^2 Y*Sin(2πt/n) Y*Cos(2πt/n)
1 3941 0,866 0,500 0,433 0,750 0,250 3412,60 1970,325 2 3606 0,866 -0,500 -0,433 0,750 0,250 3122,62 -1802,9 3 4799 0,000 -1,000 0,000 0,000 1,000 0,00 -4799,1 4 6184 -0,866 -0,500 0,433 0,750 0,250 -5355,52 -3092,1 5 6004 -0,866 0,500 -0,433 0,750 0,250 -5199,38 3001,95
6 4240 0,000 1,000 0,000 0,000 1,000 0,00 4240
7 3636 0,866 0,500 0,433 0,750 0,250 3148,78 1818 8 3712 0,866 -0,500 -0,433 0,750 0,250 3214,59 -1856 9 3899 0,000 -1,000 0,000 0,000 1,000 0,00 -3899 10 3221 -0,866 -0,500 0,433 0,750 0,250 -2788,95 -1610,25 11 2600 -0,866 0,500 -0,433 0,750 0,250 -2251,43 1299,9 12 4522 0,000 1,000 0,000 0,000 1,000 0,00 4522
78 50362,95 0 0 0 6 6 -2696,6807 -207,175
(45)
50.363 = 12 a + b (0) + c (0)
a =50.363
12
a = 4.196,912
∑ y sin�2πt
n� =a ∑ sin�
2πt
n� + b ∑ sin 2�2πt
n�+ c ∑ sin� 2πt
n�cos� 2πt
n� -2.696,68 = = 4.196,912 (0) + b (6) + c (0)
b = −2.696,68
6
b = -449,446
∑ y cos �2πt
n� = a ∑ cos � 2πt
n�+ c ∑ cos 2�2πt
n�+ b ∑ sin� 2πt
n�cos� 2πt
n� -207,175 = 4.196,912 (0) + c (6) + (-449,446) (0)
c = −207 ,175
6
c = -34,529
y’ = a + b sin �2πt n�+ c�
2πt n� y’ = 4.196,912 – 449,446 sin �2πt
n� - -34,529 cos � 2πt
n�
y’ = 4.196,912 – 449,446 sin (0,866) - -34,529 co�(−0,500) = 3.790,43
����
=
∑��=1|���|�
=
2,15 12= 17,96%
(46)
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
3.941 4.772 -831 - 2.133,62 -2.133,62 3.606 4.638 -1.033 201,19 2.133,62 -2.133,62 4.799 4.509 291 1.323,22 2.133,62 -2.133,62 6.184 4.382 1.802 1.511,38 2.133,62 -2.133,62 6.004 4.259 1.744 57,56 2.133,62 -2.133,62 4.240 4.140 100 1.644,59 2.133,62 -2.133,62 3.636 4.024 -388 488,03 2.133,62 -2.133,62 3.712 3.911 -199 188,72 2.133,62 -2.133,62 3.899 3.802 97 296,56 2.133,62 -2.133,62 3.221 3.695 -475 572,01 2.133,62 -2.133,62 2.600 3.592 -992 517,19 2.133,62 -2.133,62 4.522 3.491 1.031 2.022,81 2.133,62 -2.133,62
8.823,26 -3.000 -2.000 -1.000 0 1.000 2.000 3.000 Jan u ar i F e b ru a ri M a re t A p ri l M e i Ju n i Ju li A g u st u s S e p te m b e r O k to b e r N o v e m b e r D e se m b e r P T . B W P
Permintaan Irawan 9001 tahun 2016
Irawan 9001 UCL
(47)
PERAMALAN PRODUK IRAWAN 682 – PT. BWP
Irawan 682
Bulan
Demand
Januari
10.846
Februari14.900
Maret17.104
April29.486
Mei
22.297
Juni
20.702
Juli15.656
Agustus24.945
September28.110
Oktober16.041
November20.586
Desember25.255
Total
245.927
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Kuadratis
1.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y' 1 10.846 9,292 9,292 1 15.779 2 14.900 9,609 19,218 4 16.431 3 17.104 9,747 29,241 9 17.109 4 29.486 10,292 41,167 16 17.816 5 22.297 10,012 50,061 25 18.552 6 20.702 9,938 59,628 36 19.318 7 15.656 9,659 67,610 49 20.116 8 24.945 10,124 80,995 64 20.947 9 28.110 10,244 92,195 81 21.812 10 16.041 9,683 96,829 100 22.713 11 20.586 9,932 109,256 121 23.651 12 25.255 10,137 121,641 144 24.628
(48)
�=� ∑ �.��� − ∑ � ∑ ���
� ∑ �2−(∑ �)2
�=(12 × 777,133)−(78 × 118,668)
(12 × 650)−782 = 0,04047
ln�=∑ ��� − � ∑ �
� = 9,625
�= 15.153,002
�′ =����
�′ = 15.153,002�0,04047 �
�′ = 15.153,002�0,04047 (1)= 15.778,90≈15.779
����=∑��=1|���|
�
= 2,45
12
= 20,39%
2.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 10.846 1 1 1 10.846 10.846 13 13.404
2 14.900 4 8 16 29.800 59.600 14 15.885
3 17.104 9 27 81 51.312 153.936 15 18.008
4 29.486 16 64 256 117.944 471.776 16 19.774
5 22.297 25 125 625 111.484 557.419 17 21.182
6 20.702 36 216 1.296 124.211 745.263 18 22.233
7 15.656 49 343 2.401 109.589 767.120 19 22.926
8 24.945 64 512 4.096 199.560 1.596.480 20 23.262
9 28.110 81 729 6.561 252.990 2.276.910 21 23.240
10 16.041 100 1.000 10.000 160.408 1.604.075 22 22.860
11 20.586 121 1.331 14.641 226.446 2.490.906 23 22.123
12 25.255 144 1.728 20.736 303.060 3.636.720 24 21.029
78 245.927 650 6.084 60.710 1.697.648 14.371.050 222 245.927
�=�� �2�2− � � �4
(49)
�=� � � � − � � ��
�= (78 × 245.927)−(12 × 1.697.648) =−1.189.493 �=� �2� � − � � �2�
�= (650 ×245.927)−(12 × 14.371.050) =−12.600.216 �=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716 �=�� −��
�� −�2= 3.017,192
�=�−��
� = -178,770 �=∑ �−� ∑ �−� ∑ �2
� = 10.565,539 �′=�+��+��2
�′= 10.565,539 + 3.017,192 �+ (−178,770)�2
�′= 10.565,539 + 3.017,192 (1) + (−178,770)(1)2
= 13.403,96≈13.404
����=∑��=1|���|
�
= 2,18
12
= 18,17%
(50)
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
10.846 13.404 -2.558 - 15.507,55 -15.507,55 14.900 15.885 -985 1.573,12 15.507,55 -15.507,55 17.104 18.008 -904 80,66 15.507,55 -15.507,55 29.486 19.774 9.712 10.616,20 15.507,55 -15.507,55 22.297 21.182 1.115 8.597,51 15.507,55 -15.507,55 20.702 22.233 -1.531 2.645,72 15.507,55 -15.507,55 15.656 22.926 -7.271 5.739,43 15.507,55 -15.507,55 24.945 23.262 1.683 8.953,86 15.507,55 -15.507,55 28.110 23.240 4.870 3.186,90 15.507,55 -15.507,55 16.041 22.860 -6.820 11.689,80 15.507,55 -15.507,55 20.586 22.123 -1.537 5.282,24 15.507,55 -15.507,55 25.255 21.029 4.226 5.763,53 15.507,55 -15.507,55
64.128,97
-20.000 -15.000 -10.000 -5.000 0 5.000 10.000 15.000 20.000
P
T
.
B
W
P
Permintaan Irawan 682 tahun 2016
Irawan 682 UCL LCL
(51)
PERAMALAN PRODUK IRAWAN 683 – PT. BWP
Irawan 683
Bulan
Demand
Januari
48.500
Februari
56.390
Maret
43.722
April
66.595
Mei
57.629
Juni
53.556
Juli
65.082
Agustus
49.191
September
66.085
Oktober
26.583
November
30.807
Desember
49.581
Total
613.721
Metode Peramalan Terpilih:
•
Metode Linier
•
Metode Kuadratis
1.
Metode Linier
LINIER
t y ty t² t' y't
1 48.500 48.500 1 13 57.964
2 56.390 112.781 4 14 56.724
3 43.722 131.166 9 15 55.484
4 66.595 266.380 16 16 54.244
5 57.629 288.146 25 17 53.004
6 53.556 321.338 36 18 51.763
7 65.082 455.571 49 19 50.523
8 49.191 393.528 64 20 49.283
9 66.085 594.765 81 21 48.043
10 26.583 265.825 100 22 46.803
11 30.807 338.877 121 23 45.563
12 49.581 594.972 144 24 44.323
(52)
�
=
� ∑ �� − ∑ � ∑ �
� ∑ �
2−
(
∑ �
)
2�
=
(12 × 3.811.848)
−
(78 × 613.712)
(12 × 650)
−
(78)
2=
−
1.240,119
�
=
∑ � − � ∑ �
�
�
=
613.721— 1.240,119 × 78
12
12 = 59.204,174
�′
=
�
+
��
�
′= 59.204,174 + (
−
1.240,119)
�
�
′= 59.204,174 + (
−
1.240,119)(1) = 57.964,05
≈
57.964
����=∑��=1|���|
�
= 2,61
12
= 21,78%
2.
Metode Kuadratis
KUADRATIS
t y t² t³ t⁴ ty t²y t' y't
1 48.500 1 1 1 48.500 48.500 13 49.443
2 56.390 4 8 16 112.781 225.561 14 52.851
3 43.722 9 27 81 131.166 393.498 15 55.329
4 66.595 16 64 256 266.380 1.065.520 16 56.877
5 57.629 25 125 625 288.146 1.440.731 17 57.496
6 53.556 36 216 1.296 321.338 1.928.025 18 57.186
7 65.082 49 343 2.401 455.571 3.188.994 19 55.946
8 49.191 64 512 4.096 393.528 3.148.224 20 53.776
9 66.085 81 729 6.561 594.765 5.352.885 21 50.677
10 26.583 100 1.000 10.000 265.825 2.658.250 22 46.648
11 30.807 121 1.331 14.641 338.877 3.727.647 23 41.690
12 49.581 144 1.728 20.736 594.972 7.139.664 24 35.802
78 613.721 650 6.084 60.710 3.811.848 30.317.499 222 613.721
�=�� �2�2− � � �4
�= (650)2−(12 × 60.710) =−306.020 �=� � � � − � � ��
�= (78 × 613.721)−(12 × 3.811.848) = 2.128.046 �=� �2� � − � � �2�
(53)
�=� � � �2− � � �3
�= (78 × 650)−(12 × 6.084) =−22.308 �=�� ��
2
− � � �2
�= 782−(12 × 650) =−1.716
�=�� −��
�� −�2= 4.802,015
�=�−��
� = -464,779 �=∑ �−� ∑ �−� ∑ �
2
� = 45.105,857 �′=�+��+��2
�′= 45.105,857 + 4.802,015 �+ (−464,779)�2
�′= 45.105,857 + 4.802,015 (1) + (−464,779)(1)2
= 49.443,09≈49.443 ����=∑��=1|���|
�
= 2,42
12
= 20,14%
Metode Terpilih: Kuadratis
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
48.500 49.443 -943 - 41.132,90 -41.132,90 56.390 52.851 3.539 4.482,57 41.132,90 -41.132,90 43.722 55.329 -11.607 15.146,37 41.132,90 -41.132,90 66.595 56.877 9.718 21.324,44 41.132,90 -41.132,90 57.629 57.496 133 9.584,75 41.132,90 -41.132,90 53.556 57.186 -3.630 3.762,44 41.132,90 -41.132,90 65.082 55.946 9.136 12.765,37 41.132,90 -41.132,90 49.191 53.776 -4.585 13.720,82 41.132,90 -41.132,90 66.085 50.677 15.408 19.993,24 41.132,90 -41.132,90 26.583 46.648 -20.066 35.473,70 41.132,90 -41.132,90 30.807 41.690 -10.883 9.182,86 41.132,90 -41.132,90 49.581 35.802 13.779 24.661,92 41.132,90 -41.132,90
(54)
-50.000 -40.000 -30.000 -20.000 -10.000 0 10.000 20.000 30.000 40.000 50.000
P
T
.
B
W
P
Permintaan Irawan 683 tahun 2016
Irawan 683 UCL LCL
(55)
PERAMALAN PRODUK IRAWAN 683-SP – PT. BWP
Irawan 683-SP
Bulan
Demand
Januari
68.244
Februari43.281
Maret33.775
April77.136
Mei
67.574
Juni
95.638
Juli68.345
Agustus39.444
September77.081
Oktober61.182
November37.870
Desember83.053
Total
752.622
Metode Peramalan Terpilih:
•
Metode Eksponensial
•
Metode Siklis
1.
Metode Eksponensial
EKSPONENSIAL
t y lny t.lny t² y'
1 68.244 11,131 11,131 1 56.036
2 43.281 10,675 21,351 4 56.659
3 33.775 10,427 31,282 9 57.289
4 77.136 11,253 45,013 16 57.926
5 67.574 11,121 55,605 25 58.570
6 95.638 11,468 68,810 36 59.221
7 68.345 11,132 77,926 49 59.880
8 39.444 10,583 84,661 64 60.545
9 77.081 11,253 101,274 81 61.219
10 61.182 11,022 110,216 100 61.899
11 37.870 10,542 115,961 121 62.588
12 83.053 11,327 135,927 144 63.284
(56)
�=� ∑ �.��� − ∑ � ∑ ���
� ∑ �2−(∑ �)2
�=(12 × 787,066)−(78 × 120,285)
(12 × 650)−782 = 0,0110
ln� =∑ ��� − � ∑ �
� = 10,922
�= 55.419,380
�′ =����
�′ = 55.419,380 �0,0110 �
�′ = 55.419,380 �0,0110 (1)= 56.035,61≈56.036
����
=
∑��=1|���|�
=
3,7112
= 30,95
2.
Metode Siklis
Jumlah periode adalah:
�
=
12
2
= 6
SIKLISt Y Sin(2πt/n) Cos(2πt/n)
Sin
(2πt/n)*Cos (2πt/n)
Sin^2
(2πt/n) (2πt/n)Cos^2 Y*Sin(2πt/n) Y*Cos(2πt/n)
1 68244 0,866 0,500 0,433 0,750 0,250 59099,30 34122 2 43281 0,866 -0,500 -0,433 0,750 0,250 37481,35 -21640,5 3 33775 0,000 -1,000 0,000 0,000 1,000 0,00 -33775 4 77136 -0,866 -0,500 0,433 0,750 0,250 -66799,99 -38568,125 5 67574 -0,866 0,500 -0,433 0,750 0,250 -58519,08 33787 6 95638 0,000 1,000 0,000 0,000 1,000 0,00 95637,5 7 68345 0,866 0,500 0,433 0,750 0,250 59186,34 34172,25 8 39444 0,866 -0,500 -0,433 0,750 0,250 34158,50 -19722 9 77081 0,000 -1,000 0,000 0,000 1,000 0,00 -77081,25 10 61182 -0,866 -0,500 0,433 0,750 0,250 -52983,61 -30591 11 37870 -0,866 0,500 -0,433 0,750 0,250 -32795,42 18935 12 83053 0,000 1,000 0,000 0,000 1,000 0,00 83052,75
(57)
∑ y = t a + b ∑ sin�2πt
n� + c ∑ cos� 2πt
n� 752.622 = 12 a + b (0) + c (0)
a =752 .622
12
a = 62.718,52
∑ y sin�2πtn� =a ∑ sin�2πt
n� + b ∑ sin 2
�2πtn�+ c ∑ sin�2πt n�cos�
2πt n� -21.172,617 = 62.718,52 (0) + b (6) + c (0)
b = −21.172,617
6
b = -3.528,769
∑ y cos �2πt
n� = a ∑ cos � 2πt
n�+ c ∑ cos 2�2πt
n�+ b ∑ sin� 2πt
n�cos� 2πt
n� -78.328,625 = 62.718,52 (0) + c (6) + (-3.528,769) (0)
c = −78.328,625
6
c = -13.054,77
y’= a + b sin �2πt n�+ c�
2πt n�
y’= 62.718,52 – 3.528,769 sin �2πt
n� - 13.054,77 cos � 2πt
n�
y’= 62.718,52 – 3.528,769 sin (0,866) - 13.054,77 co�(0,500) = 66.190
����
=
∑��=1|���|�
=
3,00 12= 25,01%
(58)
Verifikasi Peramalan
y y't e=y-y't |MR| UCL LCL
68.244 66.190 2.054 - 67.021,00 -67.021,00 43.281 53.135 -9.854 11.908,23 67.021,00 -67.021,00 33.775 49.664 -15.889 6.034,53 67.021,00 -67.021,00 77.136 59.247 17.889 33.777,95 67.021,00 -67.021,00 67.574 72.302 -4.728 22.617,02 67.021,00 -67.021,00 95.638 75.773 19.864 24.592,03 67.021,00 -67.021,00 68.345 66.190 2.155 17.709,70 67.021,00 -67.021,00 39.444 53.135 -13.691 15.845,73 67.021,00 -67.021,00 77.081 49.664 27.418 41.108,72 67.021,00 -67.021,00 61.182 59.247 1.935 25.482,55 67.021,00 -67.021,00 37.870 72.302 -34.432 36.366,77 67.021,00 -67.021,00 83.053 75.773 7.279 41.711,28 67.021,00 -67.021,00
277.154,51 -100.000 -50.000 0 50.000 100.000 Jan u ar i F e b ru a ri M a re t A p ri l M e i Ju n i Ju li A g u st u s S e p te m b e r O k to b e r N o v e m b e r D e se m b e r P T . B W P
Permintaan Irawan 683- SP tahun
2016
Irawan 683-SP UCL
(1)
DAFTAR TABEL
TABEL HALAMAN
1.1. Produksi dan Permintaan Produk Irawan 9001 Tahun 2015... I-2 1.2. Produksi dan Permintaan Produk Irawan 682 Tahun 2015... I-3 1.3. Produksi dan Permintaan Produk Irawan 683 Tahun 2015... I-4 1.4. Produksi dan Permintaan Produk Irawan 683-SP Tahun 2015 ... I-4 1.5. Produksi dan Permintaan Produk Irawan 684-S Tahun 2015 ... I-5 2.1. Perincian Jumlah Tenaga Kerja PT. Central Proteinaprima ... II-16 5.1. Jumlah Permintaan Pakan Udang Irawan 9001 ... V-2 5.2. Jumlah Permintaaan Pakan Udang Irawan 682 ... V-3 5.3. Jumlah Permintaaan Pakan Udang Irawan 683 ... V-4 5.4. Jumlah Permintaaan Pakan Udang Irawan 683-SP ... V-5 5.5. Jumlah Permintaaan Pakan Udang Irawan 684-S ... V-6 5.6. Stok Awal Masing-masing Distribution Center ... V-6 5.7. Harga Masing-masing Produk Pakan Udang ... V-7 5.8. Biaya Pemesanan dari Distributor ke Produsen ... V-7 5.9. Lead Time Pengiriman dari Produsen ke Distributor ... V-8 5.10. Spesifikasi Alat Angkut yang Digunakan ... V-9 5.11. Data Permintaan Pakan Udang Irawan PT. JWL Tahun 2015 .... V-10 5.12. Parameter Peramalan dengan Metode Kuadratis ... V-12 5.13. Parameter peramalan dengan Metode Siklis ... V-13 5.14. Rekapitulasi Nilai Peramalan Pakan Udang Irawan 9001 ... V-15
(2)
DAFTAR TABEL (LANJUTAN)
TABEL HALAMAN
5.15. Rekapitulasi Perhitungan MAPE Masing-masing Metode ... V-16 5.16. Perhitungan Verifikasi Peramalan Pakan Udang Irawan 9001
pada PT. JWL ... V-17 5.17. Rekapitulasi Uji Peramalan Terpilih untuk Setiap Produk ... V-19 5.18. Rekapitulasi Hasil Peramalan Permintaan PT. JWL Tahun 2016 V-19 5.19. Rekapitulasi Hasil Peramalan Permintaan PT. SWMS Tahun
2016 ... V-20 5.20. Rekapitulasi Hasil Peramalan Permintaan PT. BWP Tahun
2016 ... V-21 5.21. Rekapitulasi Hasil Peramalan Permintaan CV.WS Tahun 2016 V-21 5.22. Total Permintaan Produk PT Central Proteinaprima Tahun 2016 V-22 5.23. Rekapitulasi Jumlah Safety Stock untuk setiap DC dan
Wholesaler ... V-24
5.24. Rekapitulasi Hasil Perhitungan EOQ untuk Setiap Distributor .. V-25 5.25. DRP Sheet PT. JWL untuk Produk Irawan 9001 ... V-28 5.26. DRP Sheet PT. JWL untuk Produk Irawan 682 ... V-30 5.27. DRP Sheet PT JWL untuk Produk Irawan 683 ... V-32 5.28. DRP Sheet PT. JWL untuk Produk Irawan 683-SP ... V-34 5.29. DRP Sheet PT JWL untuk Produk Irawan 684-S ... V-36 5.30. DRP Sheet PT. SWMS untuk Produk Irawan 9001 ... V-38
(3)
DAFTAR TABEL (LANJUTAN)
TABEL HALAMAN
5.31. DRP Sheet PT. SWMS untuk Produk Irawan 682 ... V-40 5.32. DRP Sheet PT. SWMS untuk Produk Irawan 683 ... V-42 5.33. DRP Sheet PT. SWMS untuk Produk Irawan 683-SP ... V-44 5.34. DRP Sheet PT. SWMS untuk Produk Irawan 684-S ... V-46 5.35. DRP Sheet PT. BWP untuk Produk Irawan 9001 ... V-48 5.36. DRP Sheet PT. BWP untuk Produk Irawan 682 ... V-50 5.37. DRP Sheet PT. BWP untuk Produk Irawan 683 ... V-52 5.38. DRP Sheet PT. BWP untuk Produk Irawan 683-SP ... V-54 5.39. DRP Sheet PT. BWP untuk Produk Irawan 684-S... V-56 5.40. Jumlah Frekuensi Pemesanan untuk Wholesaler CV. WS ... V-57 5.41. Rekapitulasi Reorder Point untuk CV. WS ... V-58 5.42. Ukuran Order Masing-masing Lokasi Tujuan ... V-58 5.43. Matrik Jarak dari Gudang ke Distribution Center dan
Wholesaler ... V-59
5.44. Matrik Penghematan Jarak dengan Menggabungkan Dua Rute yang Berbeda ... V-60 5.45. Langkah Awal Semua Lokasi Tujuan Memiliki Rute Terpisah . V-61 5.46. PT.BWP Masuk Rute 1 ... V-61 5.47. PT.SWMS Masuk ke Rute 2 ... V-62 5.48. Kebutuhan Produk Pakan Udang PT. Central Proteinaprima ... V-63
(4)
DAFTAR TABEL (LANJUTAN)
TABEL HALAMAN
5.49. Safety Stock setiap Produk untuk PT. Central Proteinaprima ... V-64 5.50. Rekapitulasi Total Cost untuk PT. JWL ... V-65 5.51. Rekapitulasi Total Cost untuk PT. SWMS ... V-67 5.52. Rekapitulasi Total Cost untuk PT. BWP ... V-68 5.53. Rekapitulasi Total Cost untuk PT. WS ... V-69
(5)
DAFTAR GAMBAR
GAMBAR HALAMAN
2.1. Struktur Organisasi PT. Central Proteinaprima ... II-6 3.1. Model Konfigurasi Supply Chain Perusahaan Biskuit ... III-3 3.2. Simplifikasi Model Supply Chain dan 3 Macam Aliran yang
Dikelola ... III-5 4.1. Kerangka Berpikir Penelitian ... IV-4 4.2. Blok Diagram Pengolahan Data ... IV-8 5.1. Aliran Produk dari Produsen sampai ke Konsumen ... V-1 5.2. Lokasi dan Jarak Distributor ... V-9 5.3. Scatter Diagram Permintaan Produk Irawan 9001 pada
Distrbutor PT. JWL ... V-11 5.4. Grafik Uji Hipotesis Permintaan Pakan Udang Irawan 9001
pada PT. JWL dengan Distribusi F ... V-17 5.5. Verifikasi Peramalan Pakan Udang Irawan 9001 pada PT. JWL V-18 5.6. Perubahan Jarak yang Terjadi dengan Mengubah Rute
Distribusi ... V-59 5.7. Jaringan Supply Chain pada sektor Logistik PT. Central
Proteinaprima ... V-70 6.1. Rancangan Jaringan Supply Chain pada PT. Central
(6)
DAFTAR LAMPIRAN
Lampiran HALAMAN
1. Peramalan Permintaan Distributor per Produk ... L-1 2. Tabel Distribusi F ... L-2