Production planning with remanufacturing under uncertain demand and returns

Bu çalış mada, bir üreticinin satılabilir ürünleri üretmesi yanında, geri dönenürünleri yeniden üreterek satılabilir ürünlere dönüş türdüğü bir üretim planlamaproblemi ele alınmış tır. Bu planlama problemindeki en büyük zorluk, satılabilirürünler için talebin belirsiz olması ve geri dönen ürün miktarlarındakibelirsizliktir. Belirsiz talep ve geri dönen ürün miktarlarındaki belirsizliğinolasılıksal da ğılımları bilinmemektedir. Bu belirsiz parametrelerin sadeceortalamaları ve bu ortalamalardan azami sapmaları bilinmekte veya tahminedilebilmektedir. Problem, toplam üretim, envanter ve imha maliyetlerinienazlayacak ş ekilde, planlama ufku boyunca, üretilecek satılabilir ürünlerinmiktarının, yeniden üretilecek geri dönen ürünlerin miktarının ve imha edilecekgeri dönen ürünlerin miktarının belirlenmesidir. Talep ve geri dönen ürünmiktarlarının gerçekle ş melerinden bağımsız olarak, olurlu bir üretim-imhapolitikası veren, yeni bir gürbüz doğrusal programlama modeli önerilmekte veliteratürde varolan bir gürbüz doğrusal programlama modeli ilekar ş ıla ş tırılmaktadır. Sayısal sonuçlar, önerilen modelin, literatürde varolanmodelden gerçek maliyet tasarrufu olarak önemli derecede üstün olduğunugöstermektedir.

Belirsiz talep ve geri dönen ürünler durumunda yeniden üretim ile üretim planlaması

In this study, a production planning problem in which a producerremanufactures returned products into serviceable products besidesmanufacturing serviceable products is considered. The main challenge in thisplanning problem is the uncertain demand for the serviceable products and theuncertain returns of the used products. The probability distributions of theuncertain demand and uncertain returns are not known. Only the means ofuncertain parameters and maximum deviations from these means are known orcan be estimated. The problem is to determine the quantity of serviceableproducts that are manufactured, the quantity of returned products that areremanufactured, and the quantity of returned products that are disposed over amulti-period planning horizon such that total cost composed of production,inventory and disposal costs is minimized. A new robust linear programmingmodel that yields a feasible production-disposal policy regardless of therealization of demand and returns is proposed and compared with a robust linearprogramming model existing in the literature. The computational results revealthat the proposed model significantly outperforms the one existing in literature interms of the actual cost savings.

PDF

___

Akçalı, E., S. Çetinkaya (2011) Quantitative Models for Inventory and Production Planning in Closed-loop Supply Chains, International Journal of Production Research, 49(8), 23732407.
Ben-Tal, A., B. Golany, A. Nemirovski, J-P. Vial (2005) Retailer-Supplier Flexible Commitments Contracts: A Robust Optimization Approach, Manufacturing & Service Operations Management, 7(3), 248271.
Ben-Tal, A., B. Golany, S. Shtern (2009) Robust Multi-Echelon Multi-Period Inventory Control, European Journal of Operarional Research, 199(3), 922935.
Ben-Tal, A., A. Goryashko, E. Guslitzer, A. Nemirovski (2004) Adjustable Robust Solutions of Uncertain Linear Programs, Mathematical Programming, Series A, 99(2), 351376.
Ben-Tal, A., A. Nemirovski (1998) Robust Convex Optimization, Mathematics of Operations Research, 23(4), 769805.
Ben-Tal, A., A. Nemirovski (1999) Robust Solutions of Uncertain Linear Programs, Operations Research Letters , 25(1), 113.
Ben-Tal, A., A. Nemirovski (2000) Robust Solutions of Linear Programming Problems Contaminated with Uncertain Data, Mathematical Programming, Series A , 88(3), 411424.
Bertsimas, D., M. Sim (2003) Robust Discrete Optimization and Network Flows, Mathematical Programming, Series B , 98(1), 4971.
Bertsimas, D., M. Sim (2004) The Price of Robustness, Operations Research, 52(1), 3553.
Bertsimas, D., A. Thiele (2006) A Robust Optimization Approach to Inventory Theory, Operations Research, 54(1), 150168.
Bertsimas, D., D.A. Iancu, P.A. Parrilo (2010) Optimality of Affine Policies in Multistage Robust Optimization, Mathematics of Operations Research, 35(2), 363394.
Bienstock, D., N. Özbay (2008) Computing Robust Basestock Levels, Discrete Optimization, 5(2), 389414.
Chunfa, L., H. Linna, L. Li, W. Qiang (2011) Robust Single Echelon Multi Period Inventory of Eco-Industrial Symbiotic Network with Uncertain Returns and Demand, International Conference on Management Science and Industrial Engineering 2011 , 12091213.
Helmrich, M.J.R., R. Jans, W. van den Heuvel, A.P.M. Wagelmans (2014) Economic lot-sizing with Remanufacturing: Complexity and Efficient Formulations, IIE Transactions , 46(1), 6786.
Li, X., F. Baki, P.Tian, B.A. Chaouch (2014) A Robust Block-Chain Based Tabu Search Algorithm for the Dynamic Lot Sizing Problem with Product Returns and Remanufacturing, OMEGA , 42(1), 75-87.
Naeem, M.A., D.J. Dias, R. Tibrewal, P.C. Chang, M.K. Tiwari (2013) Production Planning Optimization for Manufacturing and Remanufacturing System in Stochastic Environment, Journal of Intelligent Manufacturing, 24(4), 717 728.
See, C.-T., M. Sim (2010) Robust Approximation to Multiperiod Inventory Management, Operations Research, 58(3), 583594.
Shi, J., G. Zhang, J. Sha (2011) Optimal Production Planning for a Multi-Product Closed Loop System with Uncertain Demand and Return, Computers & Operations Research, 38(3), 641650.
Wei, C., Y. Li, X. Cai (2011) Robust Optimal Policies of Production and Inventory with Uncertain Returns and Demand, International Journal of Production Economics , 134(2), 357367.