BAB 6 KESIMPULAN AN SARAN 6.1. Kesimpulan Berdasarkan analisis dan pembahasan yang telah dilakukan, dapat diambil beberapa kesimpulan yaitu: 1. ua model yang dikembangkan dengan menggunakan ukuran lot gabungan produsen dan pemasok sebagai ukuran lot pemesanan dapat digunakan untuk menentukan harga jual produk.. Pengembangan model dengan ukuran lot gabungan tersebut menghasilkan harga jual produk per unit dan total biaya gabungan per periode yang lebih kecil daripada model Banerjee (1986). 6.. Saran Penelitian ini dilakukan dengan asumsi bahwa proses produksi mempunyai laju yang tetap. Saran untuk penelitian selanjutnya adalah dapat dilakukan penelitian lanjutan dengan mempertimbangkan: 1. Proses pemeriksaan produk dilakukan oleh pemasok dan memperhitungkan biaya garansi yang ditanggung pemasok jika terjadi kasus produk cacat sampai ke tangan produsen.. ilakukan proses pemeriksaan produk pada produsen dengan menggunakan metode sampling. Selain itu, penelitian lanjutan untuk mencari solusi model secara analitik perlu dilakukan. 54
AFTAR PUSTAKA Banerjee, A., 1986, A supplier s pricing model under a customer's economic purchasing policy, Omega, 14(5), 409-414. Banerjee, A., 005, Concurrent pricing and lot sizing for make-to-order contract production, International Journal of Production Economics, 94, 189-195. Bintoro, A.G., 019, Penentuan ukuran lot ekonomis gabungan produsen dan distributor untuk produk yang dijual dengan garansi, Jurnal Teknologi Industri, Vol XIII, No., Hal. 165-179, Universitas Atma Jaya, Yogyakarta arwish, M., dan Ertogral, K., 008, The joint economic lot sizing problem: Review and extensions, European Journal of Operational Research, 185, 76-74. Hamid, S., dan Pasandideh, R., 010, An investigation of vendor-managed inventory application in supply chain: the EOQ model with shortage, International Journal of Advanced Manufacturing Technology, 49, 9-9. Kim, J., Hong, Y., dan Kim, T., 011, Pricing and ordering policies for price-dependent demand in a supply chain of a single retailer and a single manufacturer, International Journal of Systems Science, 4(1), 81-89. Kim, S.L., dan Ha,., 00, A JIT lot-splitting model for supply chain management: Enhancing buyer supplier linkage, International Journal of Production Economics, 86(1), 1-10. Lin, J.M.H.C., 005, A buyer-vendor EOQ model with changeable lead-time in supply chain, International Journal of Production Economics, 6, 917-91. Sana, S.S., dan Chaudhuri, K., 005, A Stochastic EOQ Policy of Cold-rink-For a Retailer, Vietnam Journal of Mathematics, (4), 47-44. 55
Santiyasa, I.W., 011, Algoritma Newton Raphson engan Fungsi Non-Linear, Universitas Udayana, Bali. Siagian, P., 1987, Penelitian Operasional: Teori dan Praktek, UI-Press, Jakarta. Siswanto, 007, Operations Research, Jilid ua, Penerbit Erlangga, Jakarta. Tersine, R.J., 1994, Principles of Inventory and Materials Management, Fourth Edition, Prentice Hall, New Jersey. Wijanarko, W.S., 01, Penentuan Ukuran Lot Ekonomis Gabungan antara Suplier dan Produsen di PT. Blambangan Foodpackers Indonesia, skripsi di Jurusan Teknik Industri Universitas Atma Jaya Yogyakarta, Yogyakarta. Zimmer, K., 00, Supply chain coordination with uncertain just-in-time delivery, International Journal of Production Economics, 77, 1-15. 56
LAMPIRAN 57
Lampiran 1 : Perhitungan model Banerjee (1986) iketahui : 1000 S1 10 P 48000 S 500 h1 0.0 C 4.5 h 0.4 G 1.5 Total Biaya Produsen Per Periode TRC1 C1 Q S1 Qh1 C1 EOQ Produsen S1 Q C1 h1 Total Biaya Pemasok Per Periode TRC C Q S Q hc P Jika : a S S1 h1 = 0.559 dan b hc P S1 = 0.01 h1 Metode Newton-Raphson Iterasi 0 C1 C G = 6 1 1 fc1 C1 C ac1 bc1 G = 1.7 1 1 ffc1 1 a C1 1 b C1 = 0.886 1 1 Gross0 C1 C ac1 bc1 = 0.17 58
Iterasi 1 fc1 C11 C1 = 7.55 ffc1 1 1 fc11 C11 C ac11 bc11 G = 0.01 1 1 ffc11 1 1 = 0.899 1 1 Gross1 C11 C ac11 bc11 = 1.51 Iterasi fc11 C111 C11 = 7.59 ffc11 1 1 fc111 C111 C ac111 bc111 G = 4.197 10 7 1 1 ffc111 1 a C111 1 b C111 = 0.898 1 1 Gross C111 C ac111 bc111 = 1.5 Iterasi fc111 C1111 C111 = 7.59 ffc111 1 1 fc1111 C1111 C ac1111 bc1111 G = 1. 10 15 1 1 ffc1111 1 a C1111 1 b C1111 = 0.898 1 1 Gross C1111 C ac1111 bc1111 = 1.5 Harga jual produk per unit = $7.59 59
Lampiran : Perhitungan model 1 iketahui : 1000 S1 10 P 48000 S 500 h1 0.0 C 4.5 h 0.4 G 1.5 Total Biaya Produsen Per Periode TRC1 C1 Q S1 Qh1 C1 Total Biaya Pemasok Per Periode TRC C Q S Q hc P Total Biaya Gabungan Per Periode TRCGab C1 Q S1 Qh1 C1 C Q S Q hc P Ukuran Lot Gabungan ] P QGab Metode Newton-Raphson Iterasi 0 C1 C G = 6 fc1 C1 C S ] P ] P hc G = 0. P C h( S1 P Sh1( S1 ffc1 1 = 0.987 4( C h C1 ) P( S1 C h C1 ( C h C1 ) P( S1 C h C1 ] P hc S Gross0 C1 C = 1.67 ] P P 60
Iterasi 1 fc1 C11 C1 = 6.6 ffc1 S fc11 C11 C ] P ( C11 ] P hc ( C11 G = 1.79 10 5 P C h( S1 P Sh1( S1 ffc11 1 = 0.987 4( C h C11 ) P( S1 C h C11 ( C h C11 ) P( S1 C h C11 ] P hc S ( C11 Gross1 C11 C = 1.5 ] P P ( C11 Iterasi fc11 C111 C11 = 6.6 ffc11 S fc111 C111 C ] P ( C111 ] P hc ( C111 G = 1.05 10 1 P C h( S1 P Sh1( S1 ffc111 1 = 0.987 4( C h C111 ) P( S1 C h C111 ( C h C111 ) P( S1 C h C111 ] P hc S ( C111 Gross C111 C = 1.5 ] P P ( C111 Harga Jual Produk Per Unit = $6.6 61
Lampiran : Perhitungan model iketahui : 1000 S1 10 Cp 0 P 48000 S 500 50 h1 0.0 C 4.5 h 0.4 G 1.5 Total Biaya Produsen Per Periode (engan Biaya Pemeriksaan) TRC1 C1 Q S1 Qh1 C1 Q Cp Total Biaya Pemasok Per Periode (engan Biaya Pengiriman) TRC C Q S Q hc P Q Total Biaya Gabungan Per Periode (engan Biaya Pemeriksaan Biaya Pengiriman) TRCGab C1 Q S1 Qh1 C1 Q Cp C Q S Q hc P Q Ukuran Lot Gabungan ( Cp ) ( )] P QGab Metode Newton-Raphson Iterasi 0 C1 C G = 6 ( Cp ) ( )] P hc S fc1 C1 C G = 0.41 ( Cp ) ( )] P P ( Cp ) ( )] P C h( Cp S1 P Sh1( Cp S1 P h1( Cp S1 ffc1 1 = 0.987 4( C h C1 ) P( Cp S1 C h C1 ( C h C1 ) P( Cp S1 ( C h C1 ) P( Cp S1 C h C1 C h C1 ( Cp ) ( )] P hc S Gross0 C1 C = 1.59 ( Cp ) ( )] P P ( Cp ) ( )] P 6
Iterasi 1 fc1 C11 C1 = 6.45 ffc1 ( Cp ) ( )] P hc S ( C11 fc11 C11 C G = 1.97 10 5 ( Cp ) ( )] P P ( Cp ) ( )] P ( C11 ( C11 C h( Cp S1 P Sh1( Cp S1 P h1( Cp S1 ffc11 1 = 0.987 4( C h C11 ) P( Cp S1 C h C11 ( C h C11 ) P( Cp S1 C h C11 ( C h C11 ) P( Cp S1 C h C11 ( Cp ) ( )] P hc S ( C11 Gross1 C11 C = 1.5 ( Cp ) ( )] P P ( Cp ) ( )] P ( C11 ( C11 Iterasi fc11 C111 C11 = 6.44 ffc11 ( Cp ) ( )] P hc S ( C111 fc111 C111 C G = 1.1 10 1 ( Cp ) ( )] P P ( Cp ) ( )] P ( C111 ( C111 C h( Cp S1 P Sh1( Cp S1 P h1( Cp S1 ffc111 1 = 0.987 4( C h C111 ) P( Cp S1 C h C111 ( C h C111 ) P( Cp S1 C h C111 ( C h C111 ) P( Cp S1 C h C111 ( Cp ) ( )] P hc S ( C111 Gross C111 C = 1.5 ( Cp ) ( )] P P ( Cp ) ( )] P ( C111 ( C111 6
Iterasi fc111 C1111 C111 = 6.44 ffc111 fc1111 C1111 C S ( Cp ) ( )] P ( C1111h1 P) ( C ( Cp ) ( )] P hc ( C1111h1 P) ( C P G = 0 ( Cp ) ( )] P ( C1111h1 P) ( C C h( Cp S1 P Sh1( Cp S1 P h1( Cp S1 ffc1111 1 = 0.987 4( C h C1111P h1) P( Cp S1 C h C1111P h1 ( C h C1111P h1) P( Cp S1 ( C h C1111P h1) P( Cp S1 C h C1111P h1 C h C1111P h1 ( Cp ) ( )] P hc S ( C1111h1 P) ( C Gross C1111 C = 1.5 ( Cp ) ( )] P P ( Cp ) ( )] P ( C1111h1 P) ( C ( C1111h1 P) ( C Harga Jual Produk Per Unit = $6.44 64
Lampiran 4 : Perhitungan ukuran lot optimal dan total biaya iketahui : 1000 S1 10 Cp 0 C111 6.44 P 48000 S 500 50 h1 0.0 C 4.5 C1 7.59 h 0.4 G 1.5 C11 6.6 Banerjee 1986 Ukuran Lot S1 Q1 5.75 C1 h1 Total Biaya Produsen Per Periode TRC1 C1 Q1 S1 Q1 h1c1 9104.755 Total Biaya Pemasok Per Periode TRC C Q1 S Q1 hc 746.85 P Total Biaya Gabungan Per Periode TRCgab1 TRC1 TRC 16667.608 Model 1 Ukuran Lot ] P QGab1 ( C11 h) 91.17 Total Biaya Produsen Per Periode TRC11 C11 QGab1 S1 QGab1 h1c11 77118.846 Total Biaya Pemasok Per Periode TRC1 C QGab1 S QGab1 hc 568.079 P Total Biaya Gabungan Per Periode TRCgab TRC11 TRC1 1950.95 65
Model Ukuran Lot ( Cp ) ( )] P QGab ( C111 548.51 Total Biaya Produsen Per Periode TRC1 C111 QGab S1 QGab h1c111 QGab Cp 77456.0 Total Biaya Pemasok Per Periode TRC C QGab S QGab hc P QGab 569.787 Total Biaya Gabungan Per Periode TRCgab4 TRC1 TRC 1489.991 66