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A Sustainable Green Inventory System with Novel Eco-Friendly Demand Incorporating Partial Backlogging under Fuzziness

Author

Listed:
  • G. Durga Bhavani

    (Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India)

  • Ieva Meidute-Kavaliauskiene

    (Faculty of Business Management, Vilnius Gediminas Technical University, Saulėtekio al. 11, 10223 Vilnius, Lithuania)

  • Ghanshaym S. Mahapatra

    (Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India)

  • Renata Činčikaitė

    (Faculty of Business Management, Vilnius Gediminas Technical University, Saulėtekio al. 11, 10223 Vilnius, Lithuania)

Abstract

Environmentally friendly goods are market-oriented goods that create less environmental damage. Their manufacture is related to a product development process designed to consider the environmental consequences that might develop throughout their life cycle. In reality, the global demand for herbal goods is expanding since herbal products are manufactured from plant extracts such as leaves, roots, flowers, and seeds, among others, and cause less environmental destruction. This study introduces a novel, eco-friendly demand determined by the usage of herbal and chemical substances in products. In this context, companies producing these products are encouraged. Firms are interested in producing eco-friendly products while keeping an eye on carbon emissions. This paper presents a sustainable inventory model of non-instantaneous decaying items that follow this eco-friendly demand under partially backlogged shortages. In this study, emission releases due to inventory setup, degradation, and holding were estimated, as were carbon emissions under cap and tax policies. This approach invests in green and preservation technologies to reduce carbon emissions and deterioration. To address the imprecision of the model’s cost parameters, we converted them to Pythagorean fuzzy numbers. The optimum profit of the inventory model with carbon emissions is estimated by considering the time that the inventory level takes to reach zero and the replenishment time as decision variables. Numerical examples and a sensitivity analysis of significant parameters have been conducted to examine the effect of variation in the optimal inventory policy.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jsusta:v:14:y:2022:i:15:p:9155-:d:871981
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    References listed on IDEAS

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    1. 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.
    2. Ateka Banu & Shyamal Kumar Mondal, 2020. "Analyzing an inventory model with two-level trade credit period including the effect of customers’ credit on the demand function using q-fuzzy number," Operational Research, Springer, vol. 20(3), pages 1559-1587, September.
    3. Chunming Xu & Xiaojie Liu & Chenchen Wu & Baiyun Yuan, 2020. "Optimal Inventory Control Strategies for Deteriorating Items with a General Time-Varying Demand under Carbon Emission Regulations," Energies, MDPI, vol. 13(4), pages 1-20, February.
    4. Alberto Cambini & Laura Martein, 2009. "Generalized Convexity and Optimization," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-70876-6, July.
    5. Rana Muhammad Zulqarnain & Xiao Long Xin & Imran Siddique & Waseem Asghar Khan & Mogtaba Ahmed Yousif, 2021. "TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management," Sustainability, MDPI, vol. 13(4), pages 1-24, February.
    6. 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.
    7. Rad, M. A. & Khoshalhan, F. & Glock, C. H., 2018. "Optimal production and distribution policies for a two-stage supply chain with imperfect items and price- and advertisement-sensitive demand: A note," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 84500, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Yang, Ya & Chi, Huihui & Tang, Ou & Zhou, Wei & Fan, Tijun, 2019. "Cross perishable effect on optimal inventory preservation control," European Journal of Operational Research, Elsevier, vol. 276(3), pages 998-1012.
    9. Pal, Shilpi & Mahapatra, G.S. & Samanta, G.P., 2014. "An EPQ model of ramp type demand with Weibull deterioration under inflation and finite horizon in crisp and fuzzy environment," International Journal of Production Economics, Elsevier, vol. 156(C), pages 159-166.
    10. Pal, Shilpi & Mahapatra, G.S. & Samanta, G.P., 2015. "A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness," Economic Modelling, Elsevier, vol. 46(C), pages 334-345.
    11. Yu-Ren Chen & Chung-Yuan Dye, 2013. "Application of particle swarm optimisation for solving deteriorating inventory model with fluctuating demand and controllable deterioration rate," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(6), pages 1026-1039.
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    1. Sungyong Choi, 2023. "Special Issue on Advances in Operations and Supply Chain Management with Sustainability Considerations," Sustainability, MDPI, vol. 15(6), pages 1-4, March.
    2. Basim S. O. Alsaedi & Osama Abdulaziz Alamri & Mahesh Kumar Jayaswal & Mandeep Mittal, 2023. "A Sustainable Green Supply Chain Model with Carbon Emissions for Defective Items under Learning in a Fuzzy Environment," Mathematics, MDPI, vol. 11(2), pages 1-36, January.

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