Optimizing Ordering Policies for Imperfect Inventory Systems Integrating Trade Credit and Carbon Emission

Reducing carbon emissions is about protecting the future, in which the greatest treasures are clean air, a stable temperature and a thriving planet, not only about saving the environment. Using Hill's (1997) model, this study investigates how environmental factors might be included in inventory...

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Main Authors: Sahil Bhardwaj, Sudhir Kumar Chauhan, Mandeep Mittal, Leopoldo Eduardo Cárdenas-Barrón, Riju Chaudhary
Format: Article
Language:English
Published: Ram Arti Publishers 2025-04-01
Series:International Journal of Mathematical, Engineering and Management Sciences
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Online Access:https://www.ijmems.in/cms/storage/app/public/uploads/volumes/19-IJMEMS-24-0664-10-2-368-388-2025.pdf
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author Sahil Bhardwaj
Sudhir Kumar Chauhan
Mandeep Mittal
Leopoldo Eduardo Cárdenas-Barrón
Riju Chaudhary
author_facet Sahil Bhardwaj
Sudhir Kumar Chauhan
Mandeep Mittal
Leopoldo Eduardo Cárdenas-Barrón
Riju Chaudhary
author_sort Sahil Bhardwaj
collection DOAJ
description Reducing carbon emissions is about protecting the future, in which the greatest treasures are clean air, a stable temperature and a thriving planet, not only about saving the environment. Using Hill's (1997) model, this study investigates how environmental factors might be included in inventory control—more especially, how trade credit, fuel prices, and pollution taxes might be used. This paper explores the continuous difficulty of keeping a regular supply of high-quality products in the dynamic market of today, where the possibility of providing faulty goods never disappears. This study aims primarily to minimise the predicted total cost by means of a derivative-based technique and to identify the ideal order quantity. These findings highlight a strong correlation between lowering carbon emissions and attaining financial savings. This paper emphasises the critical part environmental awareness plays in efficient inventory control. A sensible framework is presented for concurrently lowering prices and carbon emissions by including trade credit into Hill's (1997) model. A numerical example together with a sensitivity analysis shows the model's resilience. Finally, this study emphasises the need to include environmental elements into inventory control plans and provides a workable road to reach both environmental responsibility and financial economy.
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language English
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publisher Ram Arti Publishers
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series International Journal of Mathematical, Engineering and Management Sciences
spelling doaj-art-cd4b39eed5fd4197930fbcc4a66ef72d2025-02-07T15:52:19ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492025-04-01102368388https://doi.org/10.33889/IJMEMS.2025.10.2.019Optimizing Ordering Policies for Imperfect Inventory Systems Integrating Trade Credit and Carbon EmissionSahil Bhardwaj0Sudhir Kumar Chauhan1Mandeep Mittal2Leopoldo Eduardo Cárdenas-Barrón3Riju Chaudhary4Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, 201303, Uttar Pradesh, India.Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, 201303, Uttar Pradesh, India.School of Computer Science Engineering and Technology, Bennet University, Greater Noida, 201310, Uttar Pradesh, India.Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, 64849, Monterrey, Mexico.Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, 201303, Uttar Pradesh, India.Reducing carbon emissions is about protecting the future, in which the greatest treasures are clean air, a stable temperature and a thriving planet, not only about saving the environment. Using Hill's (1997) model, this study investigates how environmental factors might be included in inventory control—more especially, how trade credit, fuel prices, and pollution taxes might be used. This paper explores the continuous difficulty of keeping a regular supply of high-quality products in the dynamic market of today, where the possibility of providing faulty goods never disappears. This study aims primarily to minimise the predicted total cost by means of a derivative-based technique and to identify the ideal order quantity. These findings highlight a strong correlation between lowering carbon emissions and attaining financial savings. This paper emphasises the critical part environmental awareness plays in efficient inventory control. A sensible framework is presented for concurrently lowering prices and carbon emissions by including trade credit into Hill's (1997) model. A numerical example together with a sensitivity analysis shows the model's resilience. Finally, this study emphasises the need to include environmental elements into inventory control plans and provides a workable road to reach both environmental responsibility and financial economy.https://www.ijmems.in/cms/storage/app/public/uploads/volumes/19-IJMEMS-24-0664-10-2-368-388-2025.pdfeoqdefective itemsinspectiontrade creditcarbon emission
spellingShingle Sahil Bhardwaj
Sudhir Kumar Chauhan
Mandeep Mittal
Leopoldo Eduardo Cárdenas-Barrón
Riju Chaudhary
Optimizing Ordering Policies for Imperfect Inventory Systems Integrating Trade Credit and Carbon Emission
International Journal of Mathematical, Engineering and Management Sciences
eoq
defective items
inspection
trade credit
carbon emission
title Optimizing Ordering Policies for Imperfect Inventory Systems Integrating Trade Credit and Carbon Emission
title_full Optimizing Ordering Policies for Imperfect Inventory Systems Integrating Trade Credit and Carbon Emission
title_fullStr Optimizing Ordering Policies for Imperfect Inventory Systems Integrating Trade Credit and Carbon Emission
title_full_unstemmed Optimizing Ordering Policies for Imperfect Inventory Systems Integrating Trade Credit and Carbon Emission
title_short Optimizing Ordering Policies for Imperfect Inventory Systems Integrating Trade Credit and Carbon Emission
title_sort optimizing ordering policies for imperfect inventory systems integrating trade credit and carbon emission
topic eoq
defective items
inspection
trade credit
carbon emission
url https://www.ijmems.in/cms/storage/app/public/uploads/volumes/19-IJMEMS-24-0664-10-2-368-388-2025.pdf
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