A Sustainable Retailer Inventory Model for Deteriorating Green Products with Time-Dependent Advertising and Carbon Emission Taxation

  • Authors

    • Ruba priyadharshini Department of Mathematics, The Gandhigram Rural Institute-Deemed to be University, Gandhigram, Dindigul, Tamil Nadu-624302, India
    • R Uthayakumar Department of Mathematics, The Gandhigram Rural Institute-Deemed to be University, Gandhigram, Dindigul, Tamil Nadu-624302, India
    https://doi.org/10.14419/e48n0n84

    Received date: July 31, 2025

    Accepted date: September 18, 2025

    Published date: October 2, 2025

  • Carbon emission, Deterioration, Dynamic Advertisement, Green product, Preservation technology

  • Abstract

    This study presents a sustainable inventory model tailored for a retailer managing deteriorating green products, where demand evolves and is influenced by environmental factors. The model incorporates a linearly increasing advertising schedule to reflect the impact of dynamic promotional efforts on eco-conscious consumer behavior. To curb product deterioration, the retailer can invest in preservation technologies that effectively slow the deterioration rate through a factorial reduction mechanism. The cost framework accounts for both time-sensitive reordering efforts and the diminishing returns of financial investment. Additionally, the model factors in carbon emissions from advertising activities, along with penalties for excess emissions and tax credits for adopting green technologies. The retailer aims to maximize overall profit by jointly optimizing selling price, replenishment timing, advertising intensity, and green investments. Analytical insights demonstrate that coordinated decision-making enhances profitability and reduces product obsolescence and environmental impact. The findings highlight the critical role of integrating marketing strategies with sustainability initiatives, offering a practical guide for retailers aiming to achieve economic efficiency and environmental stewardship.

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  • How to Cite

    priyadharshini, R. ., & Uthayakumar, R. . (2025). A Sustainable Retailer Inventory Model for Deteriorating Green Products with Time-Dependent Advertising and Carbon Emission Taxation. International Journal of Basic and Applied Sciences, 14(6), 1-11. https://doi.org/10.14419/e48n0n84