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PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS

Year 2014, Volume: 32 Issue: 2, 275 - 296, 30.12.2014
https://doi.org/10.17065/huiibf.26254

Abstract

In this study, a production planning problem in which a producer remanufactures returned products into serviceable products besides manufacturing serviceable products is considered. The main challenge in this planning problem is the uncertain demand for the serviceable products and the uncertain returns of the used products. The probability distributions of the uncertain demand and uncertain returns are not known. Only the means of uncertain parameters and maximum deviations from these means are known or can be estimated. The problem is to determine the quantity of serviceable products that are manufactured, the quantity of returned products that are remanufactured, and the quantity of returned products that are disposed over a multi-period planning horizon such that total cost composed of production, inventory and disposal costs is minimized. A new robust linear programming model that yields a feasible production-disposal policy regardless of the realization of demand and returns is proposed and compared with a robust linear programming model existing in the literature. The computational results reveal that the proposed model significantly outperforms the one existing in literature in terms of the actual cost savings

References

  • Akçalı, E., S. Çetinkaya (2011) “Quantitative Models for Inventory and Production Planning in Closed-loop Supply Chains”, International Journal of Production Research, 49(8), 2373–2407.
  • 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), 248–271.
  • Ben-Tal, A., B. Golany, S. Shtern (2009) “Robust Multi-Echelon Multi-Period Inventory Control”, European Journal of Operarional Research, 199(3), 922–935.
  • Ben-Tal, A., A. Goryashko, E. Guslitzer, A. Nemirovski (2004) “Adjustable Robust Solutions of Uncertain Linear Programs”, Mathematical Programming, Series A, 99(2), 351–376.
  • Ben-Tal, A., A. Nemirovski (1998) “Robust Convex Optimization”, Mathematics of Operations Research, 23(4), 769–805.
  • Ben-Tal, A., A. Nemirovski (1999) “Robust Solutions of Uncertain Linear Programs”, Operations Research Letters, 25(1), 1–13.
  • Ben-Tal, A., A. Nemirovski (2000) “Robust Solutions of Linear Programming Problems Contaminated with Uncertain Data”, Mathematical Programming, Series A, 88(3), 411–424.
  • Bertsimas, D., M. Sim (2003) “Robust Discrete Optimization and Network Flows”, Mathematical Programming, Series B, 98(1), 49–71.
  • Bertsimas, D., M. Sim (2004) “The Price of Robustness”, Operations Research, 52(1), 35–53.
  • Bertsimas, D., A. Thiele (2006) “A Robust Optimization Approach to Inventory Theory”, Operations Research, 54(1), 150–168.
  • Bertsimas, D., D.A. Iancu, P.A. Parrilo (2010) “Optimality of Affine Policies in Multistage Robust Optimization”, Mathematics of Operations Research, 35(2), 363–394.

BELİRSİZ TALEP VE GERİ DÖNEN ÜRÜNLER DURUMUNDA YENİDEN ÜRETİM İLE ÜRETİM PLANLAMASI

Year 2014, Volume: 32 Issue: 2, 275 - 296, 30.12.2014
https://doi.org/10.17065/huiibf.26254

Abstract

Bu çalışmada, bir üreticinin satılabilir ürünleri üretmesi yanında, geri
dönen ürünleri yeniden üreterek satılabilir ürünlere dönüştürdüğü bir üretim
planlama problemi ele alınmıştır. Bu planlama problemindeki en büyük zorluk,
satılabilir ürünler için talebin belirsiz olması ve  
geri dönen ürün miktarlarındaki
belirsizliktir. Belirsiz talep ve geri dönen ürün miktarlarındaki belirsizliğin
olasılıksal dağılımları bilinmemektedir. Bu belirsiz parametrelerin sadece
ortalamaları ve bu ortalamalardan azami sapmaları bilinmekte veya tahmin
edilebilmektedir. Problem, toplam üretim, envanter ve imha maliyetlerini
enazlayacak şekilde, planlama ufku boyunca, üretilecek satılabilir ürünlerin
miktarının, yeniden üretilecek geri dönen ürünlerin miktarının ve imha edilecek
geri dönen ürünlerin miktarının belirlenmesidir. Talep ve geri dönen ürün
miktarlarının gerçekleşmelerinden bağımsız olarak, olurlu bir üretim-imha
politikası veren, yeni bir gürbüz doğrusal programlama modeli önerilmekte ve
literatürde varolan bir gürbüz doğrusal programlama modeli ile
karşılaştırılmaktadır. Sayısal sonuçlar, önerilen modelin, literatürde varolan
modelden gerçek maliyet tasarrufu olarak önemli derecede üstün olduğunu
göstermektedir.

References

  • Akçalı, E., S. Çetinkaya (2011) “Quantitative Models for Inventory and Production Planning in Closed-loop Supply Chains”, International Journal of Production Research, 49(8), 2373–2407.
  • 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), 248–271.
  • Ben-Tal, A., B. Golany, S. Shtern (2009) “Robust Multi-Echelon Multi-Period Inventory Control”, European Journal of Operarional Research, 199(3), 922–935.
  • Ben-Tal, A., A. Goryashko, E. Guslitzer, A. Nemirovski (2004) “Adjustable Robust Solutions of Uncertain Linear Programs”, Mathematical Programming, Series A, 99(2), 351–376.
  • Ben-Tal, A., A. Nemirovski (1998) “Robust Convex Optimization”, Mathematics of Operations Research, 23(4), 769–805.
  • Ben-Tal, A., A. Nemirovski (1999) “Robust Solutions of Uncertain Linear Programs”, Operations Research Letters, 25(1), 1–13.
  • Ben-Tal, A., A. Nemirovski (2000) “Robust Solutions of Linear Programming Problems Contaminated with Uncertain Data”, Mathematical Programming, Series A, 88(3), 411–424.
  • Bertsimas, D., M. Sim (2003) “Robust Discrete Optimization and Network Flows”, Mathematical Programming, Series B, 98(1), 49–71.
  • Bertsimas, D., M. Sim (2004) “The Price of Robustness”, Operations Research, 52(1), 35–53.
  • Bertsimas, D., A. Thiele (2006) “A Robust Optimization Approach to Inventory Theory”, Operations Research, 54(1), 150–168.
  • Bertsimas, D., D.A. Iancu, P.A. Parrilo (2010) “Optimality of Affine Policies in Multistage Robust Optimization”, Mathematics of Operations Research, 35(2), 363–394.
There are 11 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Oğuz Solyalı

Publication Date December 30, 2014
Submission Date January 11, 2015
Published in Issue Year 2014 Volume: 32 Issue: 2

Cite

APA Solyalı, O. (2014). PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS. Hacettepe Üniversitesi İktisadi Ve İdari Bilimler Fakültesi Dergisi, 32(2), 275-296. https://doi.org/10.17065/huiibf.26254
AMA Solyalı O. PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi. December 2014;32(2):275-296. doi:10.17065/huiibf.26254
Chicago Solyalı, Oğuz. “PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS”. Hacettepe Üniversitesi İktisadi Ve İdari Bilimler Fakültesi Dergisi 32, no. 2 (December 2014): 275-96. https://doi.org/10.17065/huiibf.26254.
EndNote Solyalı O (December 1, 2014) PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi 32 2 275–296.
IEEE O. Solyalı, “PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS”, Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, vol. 32, no. 2, pp. 275–296, 2014, doi: 10.17065/huiibf.26254.
ISNAD Solyalı, Oğuz. “PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS”. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi 32/2 (December 2014), 275-296. https://doi.org/10.17065/huiibf.26254.
JAMA Solyalı O. PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi. 2014;32:275–296.
MLA Solyalı, Oğuz. “PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS”. Hacettepe Üniversitesi İktisadi Ve İdari Bilimler Fakültesi Dergisi, vol. 32, no. 2, 2014, pp. 275-96, doi:10.17065/huiibf.26254.
Vancouver Solyalı O. PRODUCTION PLANNING WITH REMANUFACTURING UNDER UNCERTAIN DEMAND AND RETURNS. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi. 2014;32(2):275-96.

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