• ISSN: 2148-2225 (online)

Ulaştırma ve Lojistik Kongreleri

alphanumeric journal

The Journal of Operations Research, Statistics, Econometrics and Management Information Systems

Multi-product Production-Inventory Model and Analysis within the Context of Environmental Sensitivity


Harun Öztürk, Ph.D.


Abstract

In recent years, accounting of carbon (CO2) emissions in the modeling of supply chains has become as important as achieving an effective coordination between supplier(s) and buyer(s). Because, carbon emissions are a measure of the sensitivity to the environment. In this study, a multi-product inventory problem containing defective products is considered under the assumptions of environmental sensitivity and limited storage space, and mathematical models are developed. The total cost of the problem comprise of cost of setup, cost of production, cost of screening, cost of disposal, cost of holding, cost of carbon emission and carbon emission tax. The optimal production cycle time and production quantities that minimize the expected total cost are obtained with the help of a developed algorithm. All calculations in the developed algorithm are performed using Microsoft Excel program. Two numerical examples with sensitivity analysis are provided to illustrate the results.

Keywords: Cycle Time, Defective Items, Economic Production Quantity (EPQ), Environmental Sensitivity, Inventory Control, Limited Storage Space

Jel Classification: C63

Çevreye Karşı Duyarlılık Kapsamında Çok Ürünlü Üretim Stok Kontrol Modeli ve Analizi


Öz

Son yıllarda, tedarik zincirlerinin modellenmesinde karbondioksit (CO2) gazı salınımının hesaplanması, tedarikçi(ler) ile alıcı(lar) arasında etkili bir koordinasyon sağlamak kadar önemli hale gelmiştir. Çünkü, karbon gazı emisyon miktarları, çevreye karşı duyarlılığın bir ölçütü olarak görülmektedir. Bu çalışmada, kusurlu ürünler içeren çok ürünlü stok problemi; çevreye karşı duyarlı olma ve sınırlı depolama alanı varsayımları altında ele alınmaktadır ve problemin matematiksel modelleri geliştirilmektedir. Problemdeki toplam maliyet; üretime hazırlık, üretim, tarama, hurda, stokta tutma, karbon emisyon ve emisyon vergi maliyetlerini içermektedir. Beklenen toplam maliyeti minimum yapacak optimal üretim çevrim süresi ve üretim miktarları, geliştirilen bir algoritma yardımıyla elde edilmektedir. Geliştirilen algoritmadaki tüm hesaplamalar, Microsoft Excel programı kullanılarak yapılmaktadır. Sonuçları göstermek amacıyla duyarlılık analizine sahip iki sayısal örnek çalışmada verilmektedir.

Anahtar Kelimeler: Ekonomik Üretim Miktarı (EÜM), Kusurlu Ürün, Stok Kontrolü, Sınırlı Depolama Alanı, Çevresel Duyarlılık, Çevrim Süresi


Suggested citation

Öztürk, H. (). Çevreye Karşı Duyarlılık Kapsamında Çok Ürünlü Üretim Stok Kontrol Modeli ve Analizi. Alphanumeric Journal, 8(2), 275-297. http://dx.doi.org/10.17093/alphanumeric.575234

bibtex

References

  • Ağralı, S. (2012). A Dynamic Uncapacitated Lot-Sizing Problem with Co-Production. Optimization Letters, 6(6), 1051-1061.
  • Aslani, A., Taleizadeh, A.A. ve Zanoni, S. (2017). An EOQ model with Partial Backordering with regard to Random Yield: Two Strategies to Improve Mean and Variance of the Yield. Computers & Industrial Engineering, 112, 379-390.
  • Ay, C. ve Ecevit, Z. (2005). Çevre Bilinçli Tüketiciler. Akdeniz Üniversitesi, İ.İ.B.F. Dergisi, 5(10), 238-264.
  • Battini, D., Persona, A. ve Sgarbossa, F. (2014). A Sustainable EOQ Model: Theoretical Formulation and Applications. International Journal of Production Economics, 149, 145-153.
  • Ben-Daya, M. ve Hariga, M. (2000). Economic Lot Scheduling Problem with Imperfect Production Processes. The Journal of the Operational Research Society, 51(7), 875-881.
  • Bonney, M. ve Jaber, M.Y. (2011). Environmentally responsible inventory models: Non-classical models for a non-classical era. International Journal of Production Economics, 133(1), 43-53.
  • Büyüközkan, G. ve Vardaloğlu, Z. (2008). Yeşil Tedarik Zinciri Yönetimi. Lojistik Dergisi, 8, 66-73.
  • Chan, H.K., Chung, S.h. ve Lim, M.K. (2013). Recent Research Trend of Economic-Lot Scheduling Problems. Journal of Manufacturing Technology Management, 24(3), 465-482.
  • Chiu, Y.P. (2003). Determining The Optimal Lot Size for The Finite Production Model with Random Defective Rate, The Rework Process, and Backlogging. Engineering Optimization, 35(4), 427-437.
  • Crowley, T.J. (2000). Causes of Climate Change over the past 1000 Years. Science, 289(5477), 270-277.
  • Hayek, P. A., & Salameh, M. K. (2001). Production Lot Sizing with The Reworking of Imperfect Quality Items Produced. Production Planning & Control, 12(6), 584-590.
  • Hsu, W.K.K. ve Yu, H.F. (2009). EOQ Model for Imperfective Items under a One-Time-Only Discount. Omega, 37(5), 1018-1026.
  • Huang, Y.S., Fang, C.C. ve Lin, Y.A. (2020). Inventory Management in Supply Chains with Consideration of Logistics, Green Investment and Different Carbon Emissions Policies. Computers & Industrial Engineering, 139, 1-16.
  • Jaber, M.Y., Glock, C.H. ve El Saadany, A.M.A. (2013). Supply Chain Coordination with Emissions Reduction Incentives. International Journal of Production Research, 51(1), 69-82.
  • Jaber, M.Y., Goyal, S.K. ve Imran, M. (2008). Economic Production Quantity Model for Items with Imperfect Quality Subject to Learning Effects. International Journal of Production Economics, 115, 143–150.
  • Jaggi, C.K., Goel, S.K. ve Mittal, M. (2013). Credit Financing in Economic Ordering Policies for Defective Items with Allowable Shortages. Applied Mathematics and Computation, 219, 5268-5282.
  • Kazemi, N., Abdul-Rashid, S.H., Ghazilla, R.A.R., Shekarian, E. ve Zanoni, S. (2018). Economic Order Quantity Models for Items with Imperfect Quality and Emission Considerations. International Journal of Systems Science: Operations & Logistics, 5(2), 99-115.
  • Khalilpourazari, S., Mirzazadeh, A., Weber, G.-W. ve Pasandideh, S.H.R. (2020). A Robust Fuzzy Approach for Constrained Multi-Product Economic Production Quantity with Imperfect Items and Rework Process. Optimization, 69(1), 63-90.
  • Khan, M., Jaber, M.Y. ve Bonney, M. (2011). An Economic Order Quantity (EOQ) for Items with Imperfect Quality and Inspection Errors. International Journal of Production Economics, 133,113–118.
  • Klassen, R.D., McLaughlin, C.P. (1996). The Impact of Environmental Management on Firm Performance. Management Science, 42(8), 1199-1214.
  • Lee, S. ve Kim, D. (2014). An Optimal Policy for A Single-Vendor Single-Buyer İntegrated Production–Distribution Model with both Deteriorating and Defective İtems. International Journal of Production Economics, 147, 161-170.
  • Liao, J.J., Huang, K.N., Chung, K.J., Lin, S.D., Ting, P.S. ve Srivastava, H.M. (2018). Retailer's Optimal Ordering Policy in The EOQ Model with Imperfect‐Quality Items under Limited Storage Capacity and Permissible Delay. Mathematical Methods in the Applied Sciences, 41(17), 7624-7640.
  • Liao, Z., Leung, S.Y.S., Du, W. ve Gou, Z. (2017). A Me-Based Rough Approximation Approach for Multi-Period and Multi-Product Fashion Assortment Planning Problem with Substitution. Expert Systems with Applications, 84, 127-142.
  • Ma, W.-N., Gong, D.-C. ve Lin, G.C. (2010). An Optimal Common Production Cycle Time for Imperfect Production Processes with Scrap. Mathematical and Computer Modelling, 52, 724–737.
  • Maddah, B. ve Jaber, M.Y. (2008). Economic Order Quantity for Items with Imperfect Quality: Revisited. International Journal of Production Economics, 112, 808–815.
  • Manna, A.M., Da, B. ve Tiwari, S. (2020). Impact of Carbon Emission on Imperfect Productıon Inventory System with Advance Payment Base Free Transportation. RAIRO-Operations Research, 54, 1103-1117.
  • Moon, I., Giri, B.C. ve Choi, K. (2002). Economic Lot Scheduling Problem with Imperfect Production Processes and Setup Times. Journal of the Operational Research Society, 53, 620-629.
  • Mousavi, S.M., Hajipour, V, Niaki, S.T.A. ve Aalikar, N. (2014). A Multi-Product Multi-Period İnventory Control Problem under İnflation and Discount: A Parameter-Tuned Particle Swarm Optimization Algorithm. Internatioanl Journal of Advance Manufacturing Technology, 70, 1739–1756.
  • Nia, A.R., Far, M.H. ve Niaki, S.T.A. (2014). A Fuzzy Vendor Managed Inventory of Multi-İtem Economic Order Quantity Model under Shortage: An Ant Colony Optimization Algorithm. International Journal of Production Economics, 155, 259-271.
  • Nobil, A.H., Sedigh, A.H.A. ve Cárdenas-Barrón, L.E. (2016). A Multiproduct Single Machine Economic Production Quantity (Epq) Inventory Model with Discrete Delivery Order, Joint Production Policy and Budget Constraints. Annals of Operations Research, 1-37, doi: 10.1007/s10479-017-2650-9.
  • Öner, S. ve Bilgiç, T. (2008). Economic Lot Scheduling with Uncontrolled Co-production. European Journal of Operational Research, 188, 793–810.
  • Papachristos, S. ve Konstantaras, I. (2006). Economic Ordering Quantity Models for Items with Imperfect Quality. International Journal of Production Economics, 100, 148–154.
  • Porteus, E.L. (1986). Optimal lot sizing, process quality improvement and setup cost reduction. Operations Research, 34, 137-144.
  • Raporu 1990-2009, www.tuik.gov.tr/Kitap.do?metod=KitapDetay&KT_ID=3&KITAP_ID=243 (13.02.2018)
  • Ross, S.M. (1989). Introduction to Probability Models. Academic Press Inc., USA.
  • Salameh, M.K. ve Jaber, M.Y. (2000). Economic Production Quantity Model for Items with Imperfect Quality. International Journal of Production Economics, 64, 59–64.
  • Sarkar, B., Saren, S., Sinha, D. ve Hur, S. (2015). Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model. Mathematical Problems in Engineering, 1-13, doi:10.1155/2015/469486.
  • Sinha, S. ve Modak, N.M. (2019). An EPQ Model in The Perspective of Carbon Emission Reduction. International Journal of Mathematics in Operational Research, 14(3), 338-358.
  • Taheri-Tolgari, J., Mirzazadeh, A. ve Jolai, F. (2012). An İnventory Model for Imperfect Items Under Inflationary Conditions with Considering Inspection Errors. Computers and Mathematics with Application, 63, 1007-1019.
  • Taleizadeh, A.A., Najafi, A.A. ve Niaki, S.T.A. (2010). Economic Production Quantity Model with Scrapped Items and Limited Production Capacity. Scientia Iranica Transaction E: Industrial Engineering, 17(1), 58-69.
  • Taleizadeh, A.A., Soleymanfar, V.R. ve Govindan, K. (2018). Sustainable Economic Production Quantity Models for Inventory Systems with Shortage. Journal of Cleaner Production, 174, 1011-1020.
  • Taleizadeh, A.A., Wee, H.M. ve Jalali-Naini, S.G (2013). Economic Production Quantity Model with Repair Failure and Limited Capacity. Applied Mathematical Modelling, 37, 2765-2774.
  • Toptal, A., Özlü, H. ve Konur, D. (2014). Joint Decisions on Inventory Replenishment and Emission Reduction İnvestment Under Different Emission Regulations. International Journal of Production Research, 52(1), 243-269.
  • Türkiye İstatistik Kurumu-TÜİK (2011). Ulusal Seragazı Emisyon Envanteri
  • Wahab, M.I.M., Mamun, S.M.H. ve Ongkunaruk, P. (2011). EOQ Models for A Coordinated Two-Level İnternational Supply Chain Considering Imperfect Items and Enviromental Impact. International Journal of Production Economics, 134, 151-158.
  • Wang, S. ve Ye, B. (2018). A Comparison Between Just-in-Time and Economic Order Quantity Models with Carbon Emissions. Journal of Cleaner Production, 187, 662-671.
  • Wangsa, I.D., Tiwari, S., Wee, H.M. ve Reong, S. (2020). A Sustainable Vendor-Buyer Inventory System Considering Transportation, Loading and Unloading Activities. Journal of Cleaner Production, 271, 1-18.
  • Zanoni, S., Mazzoldi, L., Zavanella, L.E. ve Jaber, M.Y. (2014). A Joint Economic Lot Size Model with Price and Environmentally Sensitive Demand. Production & Manufacturing Research, 2(1), 341-354.
  • Zavanella, L.E., Marchi, B., Zanoni, S. ve Ferretti, I. (2019). Energy Considerations for The Economic Production Quantity and The Joint Economic Lot Sizing. Journal of Business Economics, 89(7), 845-865.

Volume 8, Issue 2, 2020

2020.08.02.OR.05

alphanumeric journal

Volume 8, Issue 2, 2020

Pages 275-297

Received: June 11, 2019

Accepted: Sept. 9, 2020

Published: Dec. 31, 2020

Full Text [1.1 MB]

2020 Öztürk, H.

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