Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulation

Regulators’ increasingly stringent carbon rules to protect the environment are encouraging practitioners to modify their operational activities that are accountable for releasing emissions into the atmosphere. Thereby, practitioners dealing with product inventory planning are seeking proper manageme...

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Main Authors: Md. Al-Amin Khan, Leopoldo Eduardo Cárdenas-Barrón, Gerardo Treviño-Garza, Armando Céspedes-Mota, Imelda de Jesús Loera-Hernández, Neale R. Smith
Format: Article
Language:English
Published: Elsevier 2024-06-01
Series:Operations Research Perspectives
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214716023000246
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author Md. Al-Amin Khan
Leopoldo Eduardo Cárdenas-Barrón
Gerardo Treviño-Garza
Armando Céspedes-Mota
Imelda de Jesús Loera-Hernández
Neale R. Smith
author_facet Md. Al-Amin Khan
Leopoldo Eduardo Cárdenas-Barrón
Gerardo Treviño-Garza
Armando Céspedes-Mota
Imelda de Jesús Loera-Hernández
Neale R. Smith
author_sort Md. Al-Amin Khan
collection DOAJ
description Regulators’ increasingly stringent carbon rules to protect the environment are encouraging practitioners to modify their operational activities that are accountable for releasing emissions into the atmosphere. Thereby, practitioners dealing with product inventory planning are seeking proper management strategies not only to increase profits but also to reduce released carbons from operations. In addition, increasing uncertainty in supply operations has motivated suppliers to impose prepayment mechanisms in recent decades. This study examines the best prepayment installment policy for a practitioner for the first time, where the consumption behavior of consumers changes as a result of the combined effects of unit selling price and storage time. Moreover, to make the present inventory planning more realistic, the unit holding cost function is adopted as a power function of the inventory unit's storage period. The goal of this study is to provide the best combined installment for advance payment, price, and replenishment strategies for a practitioner under cap-and-price, cap-and-trade, and carbon tax environmental guidelines by ensuring maximum profit. For this purpose, an algorithm is created by combining all derived theoretical results from the analytical study, whereas the efficacy of the algorithm is assessed through the examination of five illustrative numerical instances. A plethora of noteworthy management insights for the practitioner are obtained by investigating the dynamic shifts in optimal strategies resulting from fluctuations in system parameters. The results reveal that if the demand is low in the nascent phases of the business cycle, then the prudent approach for the practitioner entails procuring a comparatively smaller lot-size using a modest number of payment frequencies and then setting a relatively small unit selling price to increase profits.
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spelling doaj.art-e6f9b4e454894a76a15d7704ec03e9ea2024-06-22T04:46:46ZengElsevierOperations Research Perspectives2214-71602024-06-0112100289Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulationMd. Al-Amin Khan0Leopoldo Eduardo Cárdenas-Barrón1Gerardo Treviño-Garza2Armando Céspedes-Mota3Imelda de Jesús Loera-Hernández4Neale R. Smith5Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, Nuevo León, Mexico; Department of Mathematics, Jahangirnagar University, Savar, Dhaka 1342, BangladeshTecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, Nuevo León, Mexico; Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea; Corresponding author.Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, Nuevo León, Mexico; Department of Mathematics, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh; Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea; Ingram School of Engineering, Texas State University, 601 University Drive San Marcos, TX 78666, USATecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, Nuevo León, MexicoTecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, Nuevo León, MexicoTecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, Nuevo León, MexicoRegulators’ increasingly stringent carbon rules to protect the environment are encouraging practitioners to modify their operational activities that are accountable for releasing emissions into the atmosphere. Thereby, practitioners dealing with product inventory planning are seeking proper management strategies not only to increase profits but also to reduce released carbons from operations. In addition, increasing uncertainty in supply operations has motivated suppliers to impose prepayment mechanisms in recent decades. This study examines the best prepayment installment policy for a practitioner for the first time, where the consumption behavior of consumers changes as a result of the combined effects of unit selling price and storage time. Moreover, to make the present inventory planning more realistic, the unit holding cost function is adopted as a power function of the inventory unit's storage period. The goal of this study is to provide the best combined installment for advance payment, price, and replenishment strategies for a practitioner under cap-and-price, cap-and-trade, and carbon tax environmental guidelines by ensuring maximum profit. For this purpose, an algorithm is created by combining all derived theoretical results from the analytical study, whereas the efficacy of the algorithm is assessed through the examination of five illustrative numerical instances. A plethora of noteworthy management insights for the practitioner are obtained by investigating the dynamic shifts in optimal strategies resulting from fluctuations in system parameters. The results reveal that if the demand is low in the nascent phases of the business cycle, then the prudent approach for the practitioner entails procuring a comparatively smaller lot-size using a modest number of payment frequencies and then setting a relatively small unit selling price to increase profits.http://www.sciencedirect.com/science/article/pii/S2214716023000246Variable prepayment installmentPower demandNon-linear holding costCarbon emissionsCarbon tariff rules
spellingShingle Md. Al-Amin Khan
Leopoldo Eduardo Cárdenas-Barrón
Gerardo Treviño-Garza
Armando Céspedes-Mota
Imelda de Jesús Loera-Hernández
Neale R. Smith
Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulation
Operations Research Perspectives
Variable prepayment installment
Power demand
Non-linear holding cost
Carbon emissions
Carbon tariff rules
title Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulation
title_full Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulation
title_fullStr Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulation
title_full_unstemmed Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulation
title_short Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulation
title_sort effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non linear holding cost under carbon cap and price regulation
topic Variable prepayment installment
Power demand
Non-linear holding cost
Carbon emissions
Carbon tariff rules
url http://www.sciencedirect.com/science/article/pii/S2214716023000246
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