Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade Regulation

Integrating low-carbon design into products is crucial for reducing carbon emissions throughout their life cycle and promoting sustainable development. Addressing the uncertainty in the carbon footprint resulting from the unknown choice of product material solutions. This paper considers ABC (activi...

Full description

Saved in:
Bibliographic Details
Main Authors: Huo-Yen Tseng, Yung-Fu Huang, Chung-Jen Fu, Ming-Wei Weng
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/22/3567
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850267048688484352
author Huo-Yen Tseng
Yung-Fu Huang
Chung-Jen Fu
Ming-Wei Weng
author_facet Huo-Yen Tseng
Yung-Fu Huang
Chung-Jen Fu
Ming-Wei Weng
author_sort Huo-Yen Tseng
collection DOAJ
description Integrating low-carbon design into products is crucial for reducing carbon emissions throughout their life cycle and promoting sustainable development. Addressing the uncertainty in the carbon footprint resulting from the unknown choice of product material solutions. This paper considers ABC (activity-based costing) along with the components’ carbon footprint and scrap return issues to illustrate the above challenge in a two-stage production-inventory system with imperfect processes. We determine the optimal production and sales strategies that maximize total profit per unit time. An algorithm is developed to identify these optimal solutions. To illustrate the effectiveness of the proposed model and algorithm, two numerical examples from the Taiwan die casting industry are presented. Additionally, a sensitivity analysis is conducted to provide valuable managerial insights.
format Article
id doaj-art-5768a38e5f8b4da29fa534beb76b79ec
institution OA Journals
issn 2227-7390
language English
publishDate 2024-11-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj-art-5768a38e5f8b4da29fa534beb76b79ec2025-08-20T01:53:57ZengMDPI AGMathematics2227-73902024-11-011222356710.3390/math12223567Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade RegulationHuo-Yen Tseng0Yung-Fu Huang1Chung-Jen Fu2Ming-Wei Weng3Department of Business Administration, Chaoyang University of Technology, Taichung 413310, TaiwanDepartment of Marketing and Logistics Management, Chaoyang University of Technology, Taichung 413310, TaiwanDepartment of Business Administration, Chaoyang University of Technology, Taichung 413310, TaiwanDepartment of Marketing and Logistics Management, Chaoyang University of Technology, Taichung 413310, TaiwanIntegrating low-carbon design into products is crucial for reducing carbon emissions throughout their life cycle and promoting sustainable development. Addressing the uncertainty in the carbon footprint resulting from the unknown choice of product material solutions. This paper considers ABC (activity-based costing) along with the components’ carbon footprint and scrap return issues to illustrate the above challenge in a two-stage production-inventory system with imperfect processes. We determine the optimal production and sales strategies that maximize total profit per unit time. An algorithm is developed to identify these optimal solutions. To illustrate the effectiveness of the proposed model and algorithm, two numerical examples from the Taiwan die casting industry are presented. Additionally, a sensitivity analysis is conducted to provide valuable managerial insights.https://www.mdpi.com/2227-7390/12/22/3567sustainable supply chaincarbon footprintactivity-based costingcarbon priceEPQ
spellingShingle Huo-Yen Tseng
Yung-Fu Huang
Chung-Jen Fu
Ming-Wei Weng
Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade Regulation
Mathematics
sustainable supply chain
carbon footprint
activity-based costing
carbon price
EPQ
title Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade Regulation
title_full Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade Regulation
title_fullStr Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade Regulation
title_full_unstemmed Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade Regulation
title_short Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade Regulation
title_sort optimal carbon pricing and carbon footprint in a two stage production system under cap and trade regulation
topic sustainable supply chain
carbon footprint
activity-based costing
carbon price
EPQ
url https://www.mdpi.com/2227-7390/12/22/3567
work_keys_str_mv AT huoyentseng optimalcarbonpricingandcarbonfootprintinatwostageproductionsystemundercapandtraderegulation
AT yungfuhuang optimalcarbonpricingandcarbonfootprintinatwostageproductionsystemundercapandtraderegulation
AT chungjenfu optimalcarbonpricingandcarbonfootprintinatwostageproductionsystemundercapandtraderegulation
AT mingweiweng optimalcarbonpricingandcarbonfootprintinatwostageproductionsystemundercapandtraderegulation