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A Sustainable Inventory Model with Imperfect Products, Deterioration, and Controllable Emissions

Author

Listed:
  • Abu Hashan Md Mashud

    (Department of Mathematics, Hajee Mohammad Danesh Science and Technology University, Dinajpur 5200, Bangladesh)

  • Dipa Roy

    (Department of Mathematics, Hajee Mohammad Danesh Science and Technology University, Dinajpur 5200, Bangladesh)

  • Yosef Daryanto

    (Department of Industrial Engineering, Universitas Atma Jaya Yogyakarta, Yogyakarta 55281, Indonesia)

  • Mohd Helmi Ali

    (Faculty of Economics and Management, Universiti Kebangsaan Malaysia, Bangi 43600 UKM, Selangor, Malaysia)

Abstract

Maintaining product quality and environmental performance are emerging concerns in modern competitive and transparent businesses. Many retailers separate perfect products from imperfect ones to ensure product quality and endeavor to achieve carbon dioxide (CO 2 ) reduction through green technology investments and sustainable inventory planning. Product deterioration often badly hampers the retailing business; hence, suitable preservation technologies are used. In this study, we examined the optimization model of the selling price, investment, and replenishment planning to maximize the total profit. The proposed model considered the effect of a greater deterioration rate and discount price of imperfect products. Due to the high uncertainty in demand, a realistic holding cost was deliberated with a variable and constant part. Every time the retailer transports purchased items, greenhouse gases (GHGs), including CO 2 , are produced. Government regulations on CO 2 minimization and customer awareness for greener products stimulate retailers to invest in energy-efficient green technology. This study simultaneously showed a harmonious relationship among the attributes of preservation technology, green technology investment, and discounts on defective items. Theoretical derivations were performed with numerical analysis.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:2049-:d:446520
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    References listed on IDEAS

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    1. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Goh, Mark & Shaikh, Ali Akbar, 2018. "Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain," International Journal of Production Economics, Elsevier, vol. 200(C), pages 16-36.
    2. Li, Guiping & He, Xiuli & Zhou, Jing & Wu, Hao, 2019. "Pricing, replenishment and preservation technology investment decisions for non-instantaneous deteriorating items," Omega, Elsevier, vol. 84(C), pages 114-126.
    3. Sicilia, Joaquín & González-De-la-Rosa, Manuel & Febles-Acosta, Jaime & Alcaide-López-de-Pablo, David, 2014. "An inventory model for deteriorating items with shortages and time-varying demand," International Journal of Production Economics, Elsevier, vol. 155(C), pages 155-162.
    4. Umakanta Mishra & Jei-Zheng Wu & Anthony Shun Fung Chiu, 2019. "Effects of Carbon-Emission and Setup Cost Reduction in a Sustainable Electrical Energy Supply Chain Inventory System," Energies, MDPI, vol. 12(7), pages 1-18, March.
    5. Ata Allah Taleizadeh & Bita Hazarkhani & Ilkyeong Moon, 2020. "Joint pricing and inventory decisions with carbon emission considerations, partial backordering and planned discounts," Annals of Operations Research, Springer, vol. 290(1), pages 95-113, July.
    6. 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.
    7. 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.
    8. Xuexian Gao & Haidong Zheng & Yan Zhang & Naser Golsanami, 2019. "Tax Policy, Environmental Concern and Level of Emission Reduction," Sustainability, MDPI, vol. 11(4), pages 1-17, February.
    9. Sunil Tiwari & Hui-Ming Wee & Sumon Sarkar, 2017. "Lot-sizing policies for defective and deteriorating items with time-dependent demand and trade credit," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 11(5), pages 683-703.
    10. Dye, Chung-Yuan, 2013. "The effect of preservation technology investment on a non-instantaneous deteriorating inventory model," Omega, Elsevier, vol. 41(5), pages 872-880.
    11. Gao Xiang Lou & Hai Yang Xia & Jie Qiong Zhang & Ti Jun Fan, 2015. "Investment Strategy of Emission-Reduction Technology in a Supply Chain," Sustainability, MDPI, vol. 7(8), pages 1-25, August.
    12. Umakanta Mishra & Jacobo Tijerina-Aguilera & Sunil Tiwari & Leopoldo Eduardo Cárdenas-Barrón, 2018. "Retailer’s Joint Ordering, Pricing, and Preservation Technology Investment Policies for a Deteriorating Item under Permissible Delay in Payments," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-14, February.
    13. Bonney, Maurice & Jaber, Mohamad Y., 2011. "Environmentally responsible inventory models: Non-classical models for a non-classical era," International Journal of Production Economics, Elsevier, vol. 133(1), pages 43-53, September.
    14. Alamri, Adel A. & Harris, Irina & Syntetos, Aris A., 2016. "Efficient inventory control for imperfect quality items," European Journal of Operational Research, Elsevier, vol. 254(1), pages 92-104.
    15. 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.
    16. Chandra Jaggi & Mandeep Mittal & Aditi Khanna, 2013. "Effects of inspection on retailer's ordering policy for deteriorating items with time-dependent demand under inflationary conditions," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(9), pages 1774-1782.
    17. Maddah, Bacel & Jaber, Mohamad Y., 2008. "Economic order quantity for items with imperfect quality: Revisited," International Journal of Production Economics, Elsevier, vol. 112(2), pages 808-815, April.
    18. Tapan Kumar Datta, 2017. "Effect of Green Technology Investment on a Production-Inventory System with Carbon Tax," Advances in Operations Research, Hindawi, vol. 2017, pages 1-12, December.
    19. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    20. Hsu, P.H. & Wee, H.M. & Teng, H.M., 2010. "Preservation technology investment for deteriorating inventory," International Journal of Production Economics, Elsevier, vol. 124(2), pages 388-394, April.
    21. Hui-Ming Teng & Ping-Hui Hsu, 2013. "Revisit economic ordering strategy for items with imperfect quality and backordering," International Journal of Management and Enterprise Development, Inderscience Enterprises Ltd, vol. 12(3), pages 251-262.
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    Cited by:

    1. G. Durga Bhavani & Ieva Meidute-Kavaliauskiene & Ghanshaym S. Mahapatra & Renata Činčikaitė, 2022. "A Sustainable Green Inventory System with Novel Eco-Friendly Demand Incorporating Partial Backlogging under Fuzziness," Sustainability, MDPI, vol. 14(15), pages 1-20, July.
    2. Yu-Lan Wang & Ming-Li Chen & Peterson Julian, 2022. "Maximum-Profit Inventory Model with Generalized Deterioration Rate," Mathematics, MDPI, vol. 10(17), pages 1-14, September.
    3. Surendra Vikram Singh Padiyar & Vandana & Shiv Raj Singh & Dipti Singh & Mitali Sarkar & Bikash Koli Dey & Biswajit Sarkar, 2022. "Three-Echelon Supply Chain Management with Deteriorated Products under the Effect of Inflation," Mathematics, MDPI, vol. 11(1), pages 1-19, December.
    4. Nabajyoti Bhattacharjee & Nabendu Sen, 2022. "A sustainable production inventory model for profit maximization under optimum raw material input rate during production," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 667-693, June.

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