MANAJEMEN OPERASI
4.4 Contoh Persolan
Input divisi supplier yaitu biaya pembelian bahan(x11j), biaya transportasi (x12j), biaya staf (x13j), biaya kualitas (x14j), biaya iklan (x15j), biaya kehandalan (x16j), dan biaya R dan D (w1j1 ). Output divisi supplier fasilitas teknologi (˜y1j1D), fleksibilitas supplier (˜y12jD), kemampuan supplier (y3j1D), jasa (˜y14jD), dan bagian per juta (PPM) (y1j1U D). Input divisi manufacturer biaya transportasi dari supplier ke manufacturer (x21j) dan biaya eko-desain (x22j). Output divisi manufacturer emisi CO (y1j2D)(output undesirable) dan reputasi produser (˜y22jD) Input divisi distributor biaya staf (x31j) output divisi distributor layanan (y32j) dan pengiriman tepat waktu kepada pelanggan (˜y2j3D ). Input divisi retailer biaya pengadaan x41jdan output bagi retailer adalah kepuasan (˜y1j4 ). Pengukuran intermediet adalah jumlah bagian dari supplier ke manufacturer (z(1,2)1j ), jumlah produk hijau (z1j(2,3)), biaya transportasi (z(2,3)2j ), jangka tepat waktu produk disampaikan z(3,4)1j .
Kumpulan data direpresentasikan dalam Tabel 4.3. supplier, manufacturer, distributor, dan retailer dianggap sebagai divisi green supply chain. Bobot supplier, manufacturer, distributor, dan retailer adalah 0,3, 0,4, 0,2, dan 0,1.
Tabel 4.3 Hasil data kasus minuman dengan model DEA Zhu (2003)
Nama x11j x12j x13j x14j x15j x16j w11j y˜11jD y˜12jD y13jD y˜14jD y1j1U D
Tabel 4.4 Data retailer dan intermediet Nama x41j y˜1j4 z1j(1,2) z1j(2,3) z2j(2,3) z1j(3,4)
A 102 (3,4,5) 236 490 127 9590 B 112 (1,2,3) 279 523 147 9721 C 130 (2,3,4) 247 239 247 10372 D 100 (3,4,5) 289 597 147 10333 E 139 (3,4,5) 275 479 184 9742 F 149 (2,3,4) 298 623 194 11036 G 147 (3,4,5) 320 589 204 11553 H 125 (1,2,3) 327 532 215 10846 I 130 (2,3,4) 297 508 167 10423 J 104 (1,2,3) 217 639 156 10467
Nilai τ1U ∗
o dapat diperoleh dari model (4.28)-(4.33). Nilai invers efisiensi fuzzy optimum diperoleh melalui model (4.34) sebagai berikut
1
τo∗ = ( 1 τoU ∗, 1
τoM ∗, 1 τoL∗)
Nilai efisiensi fuzzy optimal dapat diperoleh dengan membalik τU ∗1 o
˜ τo∗ = 1
τo∗ = ( 1
1 τoU ∗,τM ∗1
o ,τ1L∗
o
) = (τoU ∗, τoM ∗, τoL∗)
Tabel 4.5 Skor efisiensi fuzzy dari masing-masing green supply chain yang diperoleh melalui Model (4.34) dan diselesaikan dengan menggunakan software Lingo.
36 Tabel 4.5 Skor Efisiensi Fuzzy
Nama τ˜1∗ A (1,000, 1,000, 1,000) (1,000, 1,000, 1,000) B (1,131, 1,165, 1,265) (1,791, 1,859, 1,884) C (1,098, 1,106, 1,123) (0,890, 0,904, 0,911) D (1,056, 1,056, 1,056) (0,947, 0,947, 0,947) E (1,136, 1,169, 1,269) (0,788, 0,855, 0,881) F (1,092, 1,100, 1,117) (0,896, 0,909, 0,916) G (1,027, 1,027, 1,027) (0,974, 0,974, 0,974) H (1,067, 1,100, 1,200) (0,833, 0,909, 0,937) I (1,011, 1,011, 1,011) (0,989, 0,989, 0,989) J (1,000, 1,000, 1,000) (1,000, 1,000, 1,000)
Diasumsikan bahwa ˜τi∗ dan ˜τj∗ nilai efisiensi fuzzy DMU ke-i dan ke-j. Ber-dasarkan konsep fungsi kebenaran diperoleh:
T (˜τi∗ ≥ ˜τj∗) = sup{min(µ˜τi∗(s), µτ˜j∗(t)), (s ≥ t)}
Matriks dapat diperoleh menggunakan nilai tij sebagai berikut:
Tnxn = [tij]nxn
Mengenai matriks kebenaran, ¯ti adalah rata-rata dari peridaksamaan T (˜τi∗ ≥
˜
τj∗ dan dapat dinyatakan sebagai berikut:
t¯i = Pn i=1
tij
n
Tabel 4.6 Perangkingan DMU menggunakan matriks Nama (˜τj∗= τjL∗, τjM ∗, τjU ∗) Matriks
Behnoush (1,000, 1,000, 1,000) 1,000 1,000 1,000 1,000 Abali (0,791, 0,859, 0,884) 0,000 1,000 0,000 0,000 Kafir (0,890, 0,904, 0,911) 0,000 1,000 1,000 0,000 Zam (0,947, 0,947, 0,947) 0,000 1,000 1,000 1,000 Khazar (0,788, 0,855, 0,881) 0,000 0,966 0,000 0,000 Damdaran (0,896, 0,909, 0,916) 0,000 1,000 1,000 0,000 Sara (0,974, 0,974, 0,974) 0,000 1,000 1,000 1,000 Ramak (0,833, 0,909, 0,937) 0,000 1,000 1,000 0,000 Pegah (0,989, 0,989, 0,989) 0,000 1,000 1,000 1,000 Varna (1,000, 1,000, 1,000) 1,000 1,000 1,000 1,000
Matriks ¯tj Ranking
1,000 1,000 1,000 1,000 1,000 1,000 1,000 1 1,000 0,000 0,000 1,501 0,000 0,000 0,250 8 1,000 0,732 0,000 0,935 0,000 0,000 0,467 7 1,000 1,000 0,000 1,000 0,044 0,000 0,604 4 1,000 0,000 0,000 0,468 0,000 0,000 0,243 9 1,000 1,000 0,000 1,000 0,000 0,000 0,500 5 1,000 1,000 1,000 1,000 0,000 0,000 0,700 3 1,000 0,997 0,000 1,000 0,000 0,000 0,499 6 1,000 1,000 1,000 1,000 1,000 0,000 0,800 2 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1
Pada tabel 4.6 menunjukkan DMU yang memiliki peringkat pertama terletak pada perusahaan Behnoush dan Varna dengan nilai efisiensi 1,000. Peringkat ke-dua terletak pada perusahaan Pegah dengan nilai efisiensi 0,800. Peringkat ketiga terletak pada perusahaan Sara dengan nilai efisiensi 0,700. Peringkat keempat ter-letak pada perusahaan Zam dengan nilai efisiensi 0,604, peringkat kelima terter-letak pada perusahaan Damdaran dengan nilai efisiensi 0,500. Peringkat keenam terletak pada perusahaan Ramak dengan nilai efisiensi 0,499. Peringkat ketujuh terletak pada perusahaan Kafir dengan nilai efisiensi 0,467. Peringkat kedelapan terletak pada perusahaan Abali dengan nilai efisiensi 0,250 dan peringkat kesembilan ter-letak pada perusahaan Khazar dengan nilai efisiensi 0,243.
BAB 5 KESIMPULAN
Tesis ini membandingkan model DEA yang diperkenalkan oleh Zhu (2003) dan Mirhedayatian et al., (2013). Model DEA yang diperkenalkan Mirhedayatian dapat mengevaluasi green supply chain management (GSCM) untuk memperbaiki kinerja lingkungan dengan adanya dual-role factor, output yang undesirable, dan data fuzzy.
Setelah kendala, notasi, dan asumsi dari kedua model dijelaskan, didapatkan solusi hasil perbandingan percobaan secara numerik terhadap contoh kasus yang ada, model DEA yang diperkenalkan Mirhedayatian memiliki efek baik karena memiliki dua peringkat pertama yaitu pada perusahaan Behnoush dan Varna de-ngan nilai efisiensi 1,000 dan peringkat terakhir terletak pada perusahaan Khazar.
Sementara model DEA yang diperkenalkan Zhu memiliki satu peringkat pertama yaitu pada perusahaan Behnoush dengan nilai efisiensi 0,998 dan peringkat ter-akhir terletak pada perusahaan Ramak. Oleh karena itu model Dea menjadi cara yang baik untuk mengevaluasi efisiensi rantai suplai dalam manajemen operasi.
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LAMPIRAN 1
Lampiran persamaan program linier untuk mengevaluasi 10 UPK (perusahaan minuman) dengan menggunanakan software Lindo
Evaluasi Supplier pada UPK 1 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7 + 330V8 +349V9 + 295V10 − 290THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7 + 250V8+
320V9 + 335V10 − 220THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7+
1276V8 + 1293V9 + 1302V10 >= 1250
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.961 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Supplier pada UPK 2 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7+
330V8 + 349V9 + 295V10 − 300THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7+
250V8 + 320V9 + 335V10 − 345THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6+
1329V7 + 1276V8 + 1293V9 + 1302V10 >= 1295
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.966 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
42
Evaluasi Supplier pada UPK 3 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7+
330V8 + 349V9 + 295V10 − 288THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7+
250V8 + 320V9 + 335V10 − 350THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7+
1276V8 + 1293V9 + 1302V10 >= 1320
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.954 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Supplier pada UPK 4 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7 + 330V8+
349V9 + 295V10 − 320THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7+
250V8 + 320V9 + 335V10 − 330THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7+
1276V8 + 1293V9 + 1302V10 >= 1259
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.968 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Supplier pada UPK 5 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7+
330V8 + 349V9 + 295V10 − 290THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7+
250V8 + 320V9 + 335V10 − 275THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7+
1276V8 + 1293V9 + 1302V10 >= 1320
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.947 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Supplier pada UPK 6 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7 + 330V8+
349V9 + 295V10 − 340THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7 + 250V8+
320V9 + 335V10 − 210THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7 + 1276V8+
1293V9 + 1302V10 >= 1349
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.938
Evaluasi Supplier pada UPK 7 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7 + 330V8+
349V9 + 295V10 − 325THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7 + 250V8+
320V9 + 335V10 − 370THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7+
1276V8 + 1293V9 + 1302V10 >= 1329
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.961
44
Evaluasi Supplier pada UPK 8 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7 + 330V8+
349V9 + 295V10 − 330THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7 + 250V8+
320V9 + 335V10 − 250THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7+
1276V8 + 1293V9 + 1302V10 >= 1276
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.955 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Supplier pada UPK 9 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7 + 330V8+
349V9 + 295V10 − 349THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7 + 250V8+
320V9 + 335V10 − 320THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7 + 1276V8+
1293V9 + 1302V10 >= 1293
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.928 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Supplier pada UPK 10 min THETA
st.
290V1 + 300V2 + 288V3 + 320V4 + 290V5 + 340V6 + 325V7 + 330V8+
349V9 + 295V10 − 295THETA <= 0
220V1 + 345V2 + 350V3 + 330V4 + 275V5 + 210V6 + 370V7 + 250V8+
320V9 + 335V10 − 335THETA <= 0
1250V1 + 1295V2 + 1320V3 + 1259V4 + 1320V5 + 1349V6 + 1329V7 + 1276V8+
1293V9 + 1302V10 >= 1302
999.961V1 + 999.966V2 + 999.954V3 + 999.968V4 + 999.947V5 + 999.938V6+
999.961V7 + 999.955V8 + 999.928V9 + 999.958V10 >= 999.958 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 1 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7 + 130V8+
115V9 + 100V10 − 104theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 139theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
309V9 + 403V10 − 394theta <= 0
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000645 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 3
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 490
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 2 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7 + 130V8+
115V9 + 100V10 − 125theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 125theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
46
309V9 + 403V10 − 452theta <= 0
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000599 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 2
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 523
Evaluasi Manufactuer pada UPK 3 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7+
130V8 + 115V9 + 100V10 − 110theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 155theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
309V9 + 403V10 − 329theta <= 0
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000654 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 3
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 539
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 4 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7+
130V8 + 115V9 + 100V10 − 105theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 132theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
309V9 + 403V10 − 442theta <= 0
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5+
0.000641V6 + 0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000556 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 3
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 597
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 5 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7 + 130V8+
115V9 + 100V10 − 135theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 149theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
309V9 + 403V10 − 526theta <= 0
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000599 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 2
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 479
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 6 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7 + 130V8+
115V9 + 100V10 − 142theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 176theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
309V9 + 403V10 − 349theta <= 0
48
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000641 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 3
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 623
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 7 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7 + 130V8+
115V9 + 100V10 − 159theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 125theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
309V9 + 403V10 − 527theta <= 0
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000562 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 3
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 589
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 8 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7+
130V8 + 115V9 + 100V10 − 130theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7+
192V8 + 156V9 + 145V10 − 192theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7+
397V8 + 309V9 + 403V10 − 397theta <= 0
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000549 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 2
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 532
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 9 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7 + 130V8+
115V9 + 100V10 − 115theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 156theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
309V9 + 403V10 − 309theta <= 0
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000599 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 3
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 508
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Manufactuer pada UPK 10 min THETA
st.
104V1 + 125V2 + 110V3 + 105V4 + 135V5 + 142V6 + 159V7 + 130V8+
115V9 + 100V10 − 100theta <= 0
139V1 + 125V2 + 155V3 + 132V4 + 149V5 + 176V6 + 125V7 + 192V8+
156V9 + 145V10 − 145theta <= 0
394V1 + 452V2 + 329V3 + 442V4 + 526V5 + 349V6 + 527V7 + 397V8+
309V9 + 403V10 − 403theta <= 0
50
0.000645V1 + 0.000599V2 + 0.000654V3 + 0.000556V4 + 0.000599V5 + 0.000641V6+
0.000562V7 + 0.000549V8 + 0.000599V9 + 0.000575V10 >= 0.000575 3V1 + 2V2 + 3V3 + 3V4 + 2V5 + 3V6 + 3V7 + 2V8 + 3V9 + 3V10 >= 3
490V1 + 523V2 + 539V3 + 597V4 + 479V5 + 623V6 + 589V7 + 532V8 + 508V9+
639V10 >= 639
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 1 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7 + 215V8+
167V9 + 156V10 − 127THETA <= 0
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
29THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9+
210V10 >= 170
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 9590 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 2 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7 + 215V8+
167V9 + 156V10 − 147THETA <= 0
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
32THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9+
210V10 >= 189
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 9721 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 3 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7 + 215V8+
167V9 + 156V10 − 247THETA <= 0
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
28THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9+
210V10 >= 172
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 10.372 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 4 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7+
215V8 + 167V9 + 156V10 − 147THETA <= 0
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
35THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9+
210V10 >= 193
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 10.333 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 5 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7 + 215V8+
167V9 + 156V10 − 184THETA <= 0
52
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
32THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9+
210V10 >= 219
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 9742 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 6 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7 + 215V8+
167V9 + 156V10 − 194THETA <= 0
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
35THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9+
210V10 >= 189
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 10.036 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 7 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7 + 215V8+ <= 0 167V9 + 156V10 − 204THETA
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
29THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9+
210V10 >= 190
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 11.553
VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 8 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7 + 215V8+
167V9 + 156V10 − 2158THETA <= 0
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
26THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9 + 153 9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 10.846 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 9 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7+
215V8 + 167V9 + 156V10 − 167THETA <= 0
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7 + 26V8 + 37V9 + 30V10−
37THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7 + 153V8 + 189V9+
210V10 >= 189
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 10.423 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Distributor pada UPK 10 min THETA
st.
127V1 + 147V2 + 247V3 + 147V4 + 184V5 + 194V6 + 204V7 + 215V8+
167V9 + 156V10 − 156THETA <= 0
54
29V1 + 32V2 + 28V3 + 35V4 + 32V5 + 35V6 + 29V7+
26V8 + 37V9 + 30V10 − 30THETA <= 0
170V1 + 189V2 + 172V3 + 193V4 + 219V5 + 189V6 + 190V7+
153V8 + 189V9 + 210V10 >= 210
9590V1 + 9721V2 + 10.372V3 + 10.333V4 + 9742V5 + 11.036V6 + 11.553V7+
10.846V8 + 10.423V9 + 10.467V10 >= 10.467 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 1 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 102THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 4 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 2 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7+
125V8 + 130V9 + 104V10 − 112THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 2 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 3 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 130THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 3 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 4 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 100THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 4 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 5 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 139THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 4 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 6 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 149THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 3 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 7 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 147THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 4 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
56
Evaluasi Retailer pada UPK 8 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 125THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 2 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 9 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 130THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 3 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0
Evaluasi Retailer pada UPK 10 min THETA
st.
102V1 + 112V2 + 130V3 + 100V4 + 139V5 + 149V6 + 147V7 + 125V8+
130V9 + 104V10 − 104THETA <= 0
4V1 + 2V2 + 3V3 + 4V4 + 4V5 + 3V6 + 4V7 + 2V8 + 3V9 + 2V10 >= 2 VI, V2, V3, V4, V5, V6, V7, V8, V9, V10 => 0