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Sustainable Inventory Management for Environmental Impact through Partial Backordering and Multi-Trade-Credit-Period

Author

Listed:
  • Biswajit Sarkar

    (Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 155 88, Korea)

  • Waqas Ahmed

    (Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 155 88, Korea)

  • Seok-Beom Choi

    (Department of International Business, Cheju Halla University, Jeju-do 63092, Korea)

  • Muhammad Tayyab

    (Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 155 88, Korea)

Abstract

Incorporation of sustainable management for the rework of defective items brings long lasting benefits. In global business, there are situations when the products are procured from a global supplier. There are chances that the received lot may contain a fraction of imperfect products. These imperfect products are still valuable and can be repairable to save the environment. It is sustainable to repair imperfect items in a local repair store as compared to sending it back to the supplier. The cost of carbon emissions is also incorporated in the function to incorporate the environmental impact on total profit. Meanwhile, the supplier also offers a multi-trade-credit-period to the buyer. The developed model is sustainable and reduces the environmental impact as well as benefits for interim financing. This paper has an objective to maximize the total profit by developing a synergic economic order quantity model by considering multi-trade-credit policy, rework, and shortages simultaneously. This model can help in making decisions to enhance the performance of sustainable inventory management by controlling the cycle time and a fraction of time for a global supply chain. A non-derivative approach is employed to develop a closed-form optimal result. The numerical illustration with sensitivity analysis is also drawn to provide managerial insights into real practices.

Suggested Citation

  • Biswajit Sarkar & Waqas Ahmed & Seok-Beom Choi & Muhammad Tayyab, 2018. "Sustainable Inventory Management for Environmental Impact through Partial Backordering and Multi-Trade-Credit-Period," Sustainability, MDPI, vol. 10(12), pages 1-28, December.
    • Handle: RePEc:gam:jsusta:v:10:y:2018:i:12:p:4761-:d:190316
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    References listed on IDEAS

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    1. Rad, M. A. & Khoshalhan, F. & Glock, C. H., 2014. "Optimizing inventory and sales decisions in a two-stage supply chain with imperfect quality products and backorders," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 65264, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Eroglu, Abdullah & Ozdemir, Gultekin, 2007. "An economic order quantity model with defective items and shortages," International Journal of Production Economics, Elsevier, vol. 106(2), pages 544-549, April.
    3. Sarkar, Biswajit & Saren, Sharmila, 2016. "Product inspection policy for an imperfect production system with inspection errors and warranty cost," European Journal of Operational Research, Elsevier, vol. 248(1), pages 263-271.
    4. József Vörös, 2013. "Economic order and production quantity models without constraint on the percentage of defective items," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(4), pages 867-885, December.
    5. Skouri, K. & Konstantaras, I. & Lagodimos, A.G. & Papachristos, S., 2014. "An EOQ model with backorders and rejection of defective supply batches," International Journal of Production Economics, Elsevier, vol. 155(C), pages 148-154.
    6. Jaggi, Chandra K. & Yadavalli, V.S.S. & Verma, Mona & Sharma, Anuj, 2015. "An EOQ model with allowable shortage under trade credit in different scenario," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 541-551.
    7. Monami Roy & Shib Sana & Kripasindhu Chaudhuri, 2011. "An economic order quantity model of imperfect quality items with partial backlogging," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(8), pages 1409-1419.
    8. B. C. Giri & S. Sharma, 2016. "Optimal ordering policy for an inventory system with linearly increasing demand and allowable shortages under two levels trade credit financing," Operational Research, Springer, vol. 16(1), pages 25-50, April.
    9. Chang Wook Kang & Misbah Ullah & Biswajit Sarkar & Iftikhar Hussain & Rehman Akhtar, 2017. "Impact of random defective rate on lot size focusing work-in-process inventory in manufacturing system," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1748-1766, March.
    10. Wahab, M.I.M. & Mamun, S.M.H. & Ongkunaruk, P., 2011. "EOQ models for a coordinated two-level international supply chain considering imperfect items and environmental impact," International Journal of Production Economics, Elsevier, vol. 134(1), pages 151-158, November.
    11. Soni, Hardik & Shah, Nita H., 2008. "Optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 184(1), pages 91-100, January.
    12. Wuttke, David A. & Blome, Constantin & Sebastian Heese, H. & Protopappa-Sieke, Margarita, 2016. "Supply chain finance: Optimal introduction and adoption decisions," International Journal of Production Economics, Elsevier, vol. 178(C), pages 72-81.
    13. Jaber, Mohamad Y. & Zanoni, Simone & Zavanella, Lucio E., 2014. "Economic order quantity models for imperfect items with buy and repair options," International Journal of Production Economics, Elsevier, vol. 155(C), pages 126-131.
    14. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    15. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    16. Hsu, Jia-Tzer & Hsu, Lie-Fern, 2013. "An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns," International Journal of Production Economics, Elsevier, vol. 143(1), pages 162-170.
    17. Shah, Nita. H., 1993. "Probabilistic time-scheduling model for an exponentially decaying inventory when delays in payments are permissible," International Journal of Production Economics, Elsevier, vol. 32(1), pages 77-82, August.
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    4. Mrudul Y. Jani & Heta A. Patel & Amrita Bhadoriya & Urmila Chaudhari & Mohamed Abbas & Malak S. Alqahtani, 2023. "Deterioration Control Decision Support System for the Retailer during Availability of Trade Credit and Shortages," Mathematics, MDPI, vol. 11(3), pages 1-27, January.
    5. Chandan Mahato & Gour Chandra Mahata, 2023. "Sustainable partial backordering inventory model under linked-to-order credit policy and all-units discount with capacity constraint and carbon emissions," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 896-944, September.
    6. Yosef Daryanto & Hui Ming Wee & Gede Agus Widyadana, 2019. "Low Carbon Supply Chain Coordination for Imperfect Quality Deteriorating Items," Mathematics, MDPI, vol. 7(3), pages 1-24, March.
    7. Keyong Zhang & Chunxia Li & Jianming Yao, 2019. "Research on Operation and Financing Strategy of an Emission-Dependent Supply Chain under Variable Transportation Fee Strategy," Sustainability, MDPI, vol. 11(16), pages 1-30, August.
    8. Esha Saha & Pradip Kumar Ray, 2019. "Modelling and analysis of healthcare inventory management systems," OPSEARCH, Springer;Operational Research Society of India, vol. 56(4), pages 1179-1198, December.
    9. Abu Hashan Md Mashud & Dipa Roy & Yosef Daryanto & Mohd Helmi Ali, 2020. "A Sustainable Inventory Model with Imperfect Products, Deterioration, and Controllable Emissions," Mathematics, MDPI, vol. 8(11), pages 1-21, November.
    10. Han-Wen Tuan & Kuo-Chen Hung & Gino K. Yang, 2021. "Inventory Model with Fixed Shelf Life under Generalized Non-Increasing Demand," Mathematics, MDPI, vol. 9(21), pages 1-15, October.
    11. Mubashir Hayat & Bashir Salah & Misbah Ullah & Iftikhar Hussain & Razaullah Khan, 2020. "Shipment Policy for an Economic Production Quantity Model Considering Imperfection and Transportation Cost," Sustainability, MDPI, vol. 12(21), pages 1-16, October.
    12. Di, Jinghan & Wen, Zongguo & Jiang, Meihui & Miatto, Alessio, 2022. "Patterns and features of embodied environmental flow networks in the international trade of metal resources: A study of aluminum," Resources Policy, Elsevier, vol. 77(C).

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