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<p>In this study, a green inventory model is developed to reduce carbon emissions from greenhouse operations and to control product deteriorasation by applying emission reduction and preservation technologies under a permissible delay in payment. The time-dependent deterioration rate of the products, the selling price, and the time-dependent demand are considered. Also, a shortage is allowed and partially backlogged. The retailer offers a trade credit period to customers to increase demand and attract more players into the business. Being environmentally conscious, the carbon tax policy becomes a more flexible and effective tool to mitigate carbon emissions. Hence, this paper presents an inventory model for deteriorating items under a carbon tax policy to achieve sustainable goals. Here, we discuss all the cases of trade credit policy taking optimal results without a carbon tax cost and with a carbon tax cost. Classical optimization is used to optimize the total profit with respect to the optimal cycle length, selling price, and preservation technology. A numerical example and sensitivity analysis have been presented to illustrate the theoretical results and demonstrate the managerial implications of the proposed model.</p>

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Sustainable Inventory Optimization for Deteriorating Items with Preservation Technology, Carbon Emissions, and Trade Credit Under Variable Demand

  • 期刊论文

  • 发表日期：

    2026年7月9日

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  • Falguni Mahato,
  • Chandan Mahato,
  • Gour Chandra Mahata

摘要

In this study, a green inventory model is developed to reduce carbon emissions from greenhouse operations and to control product deteriorasation by applying emission reduction and preservation technologies under a permissible delay in payment. The time-dependent deterioration rate of the products, the selling price, and the time-dependent demand are considered. Also, a shortage is allowed and partially backlogged. The retailer offers a trade credit period to customers to increase demand and attract more players into the business. Being environmentally conscious, the carbon tax policy becomes a more flexible and effective tool to mitigate carbon emissions. Hence, this paper presents an inventory model for deteriorating items under a carbon tax policy to achieve sustainable goals. Here, we discuss all the cases of trade credit policy taking optimal results without a carbon tax cost and with a carbon tax cost. Classical optimization is used to optimize the total profit with respect to the optimal cycle length, selling price, and preservation technology. A numerical example and sensitivity analysis have been presented to illustrate the theoretical results and demonstrate the managerial implications of the proposed model.