An Optimal Control Model of the Low-Carbon Supply Chain: Joint Emission Reduction, Pricing Strategies, and New Coordination Contract Design

This paper is contended with the joint emission reduction and pricing decision problems, as well as coordination contract design issue for a class of low-carbon supply chain system. Here, the evolution of emission reduction level is characterized by a linear differential equation. Also, product dema...

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Main Authors: Hui Yu, Shizhen Bai, Dongyan Chen
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9110572/
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author Hui Yu
Shizhen Bai
Dongyan Chen
author_facet Hui Yu
Shizhen Bai
Dongyan Chen
author_sort Hui Yu
collection DOAJ
description This paper is contended with the joint emission reduction and pricing decision problems, as well as coordination contract design issue for a class of low-carbon supply chain system. Here, the evolution of emission reduction level is characterized by a linear differential equation. Also, product demand depends on emission reduction level, promotional effort, and retail price in a separable multiplicative way. By considering an optimal control model of the low-carbon supply chain, differential game theory is used to obtain the optimal joint emission reduction efforts, pricing strategies, and the optimal emission reduction level in different decision systems. Subsequently, attention is focused on the design of new coordination contract with the fixed or varied wholesale price such that, under the dynamic decision perspective, supply chain system can realize the win-win situation of economy and ecology, as well as the profits of individual members are Pareto improvement. Finally, several numerical examples are given to show the validity and feasibility of the presented results.
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spelling doaj.art-2ad620248963491c8bd6cb822f51c98e2022-12-21T23:44:48ZengIEEEIEEE Access2169-35362020-01-01810627310628310.1109/ACCESS.2020.30004829110572An Optimal Control Model of the Low-Carbon Supply Chain: Joint Emission Reduction, Pricing Strategies, and New Coordination Contract DesignHui Yu0https://orcid.org/0000-0001-6639-0070Shizhen Bai1Dongyan Chen2School of Management, Harbin University of Commerce, Harbin, ChinaSchool of Management, Harbin University of Commerce, Harbin, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin, ChinaThis paper is contended with the joint emission reduction and pricing decision problems, as well as coordination contract design issue for a class of low-carbon supply chain system. Here, the evolution of emission reduction level is characterized by a linear differential equation. Also, product demand depends on emission reduction level, promotional effort, and retail price in a separable multiplicative way. By considering an optimal control model of the low-carbon supply chain, differential game theory is used to obtain the optimal joint emission reduction efforts, pricing strategies, and the optimal emission reduction level in different decision systems. Subsequently, attention is focused on the design of new coordination contract with the fixed or varied wholesale price such that, under the dynamic decision perspective, supply chain system can realize the win-win situation of economy and ecology, as well as the profits of individual members are Pareto improvement. Finally, several numerical examples are given to show the validity and feasibility of the presented results.https://ieeexplore.ieee.org/document/9110572/Optimal controllow-carbon supply chainjoint emission reductioncoordination contract
spellingShingle Hui Yu
Shizhen Bai
Dongyan Chen
An Optimal Control Model of the Low-Carbon Supply Chain: Joint Emission Reduction, Pricing Strategies, and New Coordination Contract Design
IEEE Access
Optimal control
low-carbon supply chain
joint emission reduction
coordination contract
title An Optimal Control Model of the Low-Carbon Supply Chain: Joint Emission Reduction, Pricing Strategies, and New Coordination Contract Design
title_full An Optimal Control Model of the Low-Carbon Supply Chain: Joint Emission Reduction, Pricing Strategies, and New Coordination Contract Design
title_fullStr An Optimal Control Model of the Low-Carbon Supply Chain: Joint Emission Reduction, Pricing Strategies, and New Coordination Contract Design
title_full_unstemmed An Optimal Control Model of the Low-Carbon Supply Chain: Joint Emission Reduction, Pricing Strategies, and New Coordination Contract Design
title_short An Optimal Control Model of the Low-Carbon Supply Chain: Joint Emission Reduction, Pricing Strategies, and New Coordination Contract Design
title_sort optimal control model of the low carbon supply chain joint emission reduction pricing strategies and new coordination contract design
topic Optimal control
low-carbon supply chain
joint emission reduction
coordination contract
url https://ieeexplore.ieee.org/document/9110572/
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