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Joint pricing and inventory decisions with carbon emission considerations, partial backordering and planned discounts

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  • Ata Allah Taleizadeh

    (University of Tehran)

  • Bita Hazarkhani

    (University of Tehran)

  • Ilkyeong Moon

    (Seoul National University)

Abstract

Typical economic order quantity models of inventory feature demand rate as a constant parameter and do not allow for backordering. Furthermore, the purchasing cost of the ordered materials is considered constant. In reality, the demand rate is related to the unit purchasing cost and other factors, such as time and availability of products in the market. A quantity discount is regularly applied to encourage ordering more products by decreasing the price. In some situations, carbon dioxide emissions are carefully scrutinized and a program to handle these. Greenhouse gases are put in place. Hence, for this research, the rate of demand in the model was assumed proportional to the unit purchasing cost and partial backordering was allowed as a fixed parameter. Because plants emit greenhouse gases (carbon dioxide), we considered mitigation efforts. A mathematical model and computational procedures are shown with the solution algorithms that demonstrate the capability of the model. An example problem was solved with the model and sensitivity analysis was conducted to inform the managerial insights offered.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:290:y:2020:i:1:d:10.1007_s10479-018-2968-y
    DOI: 10.1007/s10479-018-2968-y
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    References listed on IDEAS

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    2. Bingbing Cao & Tianhui You & Chunyi Liu & Jian Zhao, 2021. "Pricing and Channel Coordination in Online-to-Offline Supply Chain Considering Corporate Environmental Responsibility and Lateral Inventory Transshipment," Mathematics, MDPI, vol. 9(20), pages 1-30, October.
    3. Dharamender Singh & Anurag Jayswal & Majed G. Alharbi & Ali Akbar Shaikh, 2021. "An Investigation of a Supply Chain Model for Co-Ordination of Finished Products and Raw Materials in a Production System under Different Situations," Sustainability, MDPI, vol. 13(22), pages 1-25, November.
    4. Gudivada Durga Bhavani & Ieva Meidute-Kavaliauskiene & Ghanshaym S. Mahapatra & Renata Činčikaitė, 2022. "Pythagorean Fuzzy Storage Capacity with Controllable Carbon Emission Incorporating Green Technology Investment on a Two-Depository System," Energies, MDPI, vol. 15(23), pages 1-34, November.
    5. Nita Shah & Pratik Shah & Milan Patel, 2022. "Pricing Decisions with Effect of Advertisement and Greening Efforts for a Greengocer," Sustainability, MDPI, vol. 14(21), pages 1-12, October.
    6. Mashud, Abu Hashan Md & Chakrabortty, Ripon K. & Hussain, Omar K. & Choi, Tsan-Ming, 2024. "Reducing emissions from production and distribution in three-echelon supply chains," International Journal of Production Economics, Elsevier, vol. 271(C).
    7. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2022. "Profit maximization in an inventory system with time-varying demand, partial backordering and discrete inventory cycle," Annals of Operations Research, Springer, vol. 316(2), pages 763-783, September.
    8. Arash Sepehri & Umakanta Mishra & Ming-Lang Tseng & Biswajit Sarkar, 2021. "Joint Pricing and Inventory Model for Deteriorating Items with Maximum Lifetime and Controllable Carbon Emissions under Permissible Delay in Payments," Mathematics, MDPI, vol. 9(5), pages 1-27, February.
    9. Mitali Sarkar & Byung Do Chung, 2021. "Effect of Renewable Energy to Reduce Carbon Emissions under a Flexible Production System: A Step Toward Sustainability," Energies, MDPI, vol. 14(1), pages 1-14, January.
    10. Katherinne Salas-Navarro & Paula Serrano-Pájaro & Holman Ospina-Mateus & Ronald Zamora-Musa, 2022. "Inventory Models in a Sustainable Supply Chain: A Bibliometric Analysis," Sustainability, MDPI, vol. 14(10), pages 1-21, May.
    11. 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.
    12. 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.

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