PENGGUNAAN EKUILIBRIUM NASH DALAM PENENTUAN SOLUSI OPTIMAL VARIABEL KEPUTUSAN (ECONOMIC ORDER QUANTITY) DARI MODEL MATEMATIKA INVENTORI

Rubono Setiawan, Henny Ekana Chrisnawati, Yemi Kuswardi

Abstract

Model inventori merupakan model matematika yang untuk menjelaskan kondisi dari  sistem rantai pasok produksi. Analisa optimum dari model inventori adalah untuk menentukan Economic Order Quantity (EOQ) dari variabel keputusan yang mempengaruhi total biaya dari sistem rantai pasok. EOQ merupakan nilai variabel keputusan yang menentukan untuk dapat mendapatkan total biaya yang minimum dari sistem. Analisa keoptimalan secara analitik menggunakan teknik optimasi kalkulus yaitu kriteria Karush – Kuhn – Tucker (KKT). Dalam hal ini penggunaan skema ekuilibrium Nash digunakan untuk menjelaskan skema optimasi saat tiap pihak dalam sistem rantai pasok tersebut memilih untuk tidak melakukan kerjasama (non-kooperatif). Tiap – tiap pihak memilih untuk menentukan strategi optimum sendiri dengan berdasarkan observasi terhadap perubahan strategi dari pihak yang lain. Dalam artikel ini akan dijelaskan bagaimana menentukan EOQ dari suatu sistem rantai pasok dua echelon (level) dengan menggunakan skema ekuilibrium Nash, baik secara analitik maupun algoritmik.

Keywords

Ekuilibrium Nash, Model Inventori, EOQ

Full Text:

PDF

References

Abad, P.L. and Jaggi, C.K. (2003). A joint approach for settingunit price and the length of the credit period for a seller when end demand is price sensitive. International Journal of Production Economics, 83, 115 – 122.

Esmaeili, M., Aryanezhad, M-B., Zeephongsekul, P. (2008). A game theory approach in seller – buyer supply chain. European Journal of Operational Research,195(2),442-448.

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

Lin, H.-J. (2013). An Integrated Supply Chain Inventory Model with Imperfect – Qualtiy Items, Controllable Lead Time and Distribution – Free Demand. Yugoslav Journal of Operations Research, 23, 87 – 109.

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

Salameh, M.K. and Jaber, M.Y.(2000). Economic production quantity model for items with imperfect quality. International Journal of Production Economics, 64(1),59 – 64.

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

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.

Setiawan, R. (2015). Pareto Optimal Investigation of Integrated Vendor – Buyer System for Imperfect Quality Product with Minimal Service Level Constraints. Proceeding of The 2015 International Conference on Mathematics, Its Applications, and Mathematics Education, Sanata Dharma University, 1-9.

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.

Setiawan, R. (2017). Economic Order Quantity (EOQ) by Game Theory Approach in Probabilistic Supply Chain System under Service Level Constraint for Items with Imperfect Quality, IOP Journal of Physics: Proceeding Series, 1022

Refbacks

  • There are currently no refbacks.