PENGGUNAAN KRITERIA KARUSH – KUHN – TUCKER (KKT) DALAM ANALISIS ECONOMIC ORDER QUANTITY (EOQ) MODEL INVENTORI DALAM PERMASALAHAN RANTAI PASOK

Rubono Setiawan, Getut Pramesti

Abstract

Model inventori merupakan model matematika untuk menentukan formula total biaya yang dibutuhkan dalam sistem rantai pasok produk produksi. Tujuan dari analisa model inventori adalah untuk menentukan total biaya minimum yang dapat memaksimalkan keuntungan. Analisa keoptimalan model inventori umumnya menggunakan kriteria turunan parsial pertama dalam kalkulus. Kriteria turunan parsial pertama dalam kalkulus merupakan metode optimasi tanpa kendala. Dalam beberapa kasus inventori terdapat asumsi berupa kendala yang harus dipenuhi, sebagai contoh kendala tingkat layanan (service level constraint) oleh pihak buyer dalam model dua echelon. Kendala tersebut apabila diformulasikan secara matematika akan membentuk permasalahan optimasi berkendala. Permasalahan optimasi berkendala tidak bisa langsung diselesaikan dengan kriteria optimasi biasa dengan menggunakan turunan parsial pertama. Salah satu metode atau kriteria yang bisa digunakan adalah kriteria Karush – Kuhn – Tucker (KKT).

Keywords

KKT, EOQ, Inventori, Service Level

Full Text:

PDF

References

Alaei, S.,Hajj, A.,Alaei, R.,Behravesh, M.(2015).A Theoritical Game Approach for Two Echelon Stochastic Inventory System. Acta Polytechnica Hungarica, 12(4).

Banerjee, A. (1986). A joint economic –lot – size for purchaser and vendor. Decision Sciences,3, 292-311.

Cachon, G.& Netessine, S. (2004). Game theory in supply chain analysis. In D. Simchi-Levi, S.D. Wu & Z.-J. Shen (Eds.), Handbook of Qualitative Supply Chain Analysis. 4, 200-233. US: Springer US.

Chang, H.C.& Ho, C.H. (2010). Exact closed-form solutions for optimal inventory model for items with imperfect quality and shortage back ordering. Omega, 38, 233-237.

Elyasi, M., Khoshalhan, F., and Khanmirzae, M. (2014). Modified economic order quantity (EOQ) model for items with imperfect quality: Game theoretical approaches.International Journal of Industrial Enginering Computations, 5, 211-222.

Goyal, S.K. (1977). An Integrated inventory model for a single supplier – single customer problem. International Journal of Production Research, 15, 107-111.

Goyal, S.K. & Szendrovits, A.Z. (1986). A constant lot size model with equal and unequal sized batch shipments between production stages. Engineering Costs and Production Economics, 10, 203 – 210.

Goyal, S.K. & Gupta, Y.P. (1989). Integrated inventory models: the buyer-vendor coordination. European Journal of Operational Research. 41, 261-269.

Goyal, S.K. (1995). A one-vendor multi-buyer integrated inventory model: a comment. European Journal of Operational Research. 82, 209-210.

Goyal, S.K. (1988). A joint economic-lot-size model for purchaser and vendor: a comment. Decision Sciences. 19, 236-241.

Hsu, J.-T.& Hsu, L.-F. (2012). An Integrated Vendor – Buyer Cooperative Inventory Model for Items with Imperfect Quality and Shortage Backordering. Advances in Decision Sciences.

Huang, C.K. (2002). An integrated vendor-buyer cooperative model for items with imperfect quality. Production Planning and Control, 13, 355 – 361.

Huang, C.K. (2004). An optimal policy for a single-vendor-buyer integrated production-inventory problem with process unreliability consideration. International Journal of Production Economics. 91, 91-98.

Hsu, J.-T.& Hsu, L.-F. (2012). An integrated single – vendor single – buyer production inventory model for items with imperfect quality and inspection errors. International Journal of Industrial Engineering Computations, 3,703 – 720.

Sadigh, A.L., Chaharsooghi, S.K.,Sheikhmohammady, M. (2016). A Game Theoritic Approach to Coordination of Pricing, Advertising and Inventory Decisions in a Competitive Supply Chain. Journal of Industrial and Management Optimization, 12(1), 337-355.

Salameh, M.K. & Jaber, M.Y. (2000). Economic production quantity model for items with imperfect quality. International Journal of Production Economics, 64, 59 – 64.

Setiawan, R.(2016). A Game Theoritical Approach in Vendor – Buyer Probabilistic Inventory System with Imperfect Quality, Inspection Error, Minimum Service Level Constraint and Partial Backordering. Far East Journal of Mathematical Sciences, 100(10), 1695-1704.

Setiawan, R., & Triyanto. (2016), A Probabilistic Integrated Vendor – Buyer Cooperative Inventory Model wth Imperfect Quality Items, Controllable Lead Time, Uncertainty Demands, Inspection Error, Shortage and Backordering Allowed, Far East Journal of Mathematical Sciences, 99(1), 109-132.

Setiawan, R., Kuswardi, Y., Pramudya, I. (2016). Aplikasi Kalkulus Optimasi dalam Analisa Optimum Variabel Keputusan Model Matematika Inventori Terintegrasi Dua Level dengan Produk Tidak Sempurna, Lead Free Demand dan Kendala Tingkat Layanan. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika 2016, Program Studi S2 Pendidikan Matematika, Universitas Sebelas Maret, 977-984.

Setiawan, R. (2017). Several Comparison Result of Two Types of Equilibrium (Pareto Schemes and Stackelberg Scheme) of Game Theory Approach in Probabilistic Vendor – Buyer Supply Chain System with Imperfect Quality, IOP Journal of Physics: Proceeding Series, 983.

Article Metrics

Abstract view : 0 times
PDF - 0 times

Refbacks

  • There are currently no refbacks.