Channel Competition and Coordination of a Dual-Channel Supply Chain under Interval Demand
Interval demand is becoming more common than ever before, since the variation bounds of uncertain demand are only required in practice, and they could be obtained through only a small amount of uncertain information. The goal of this paper is to analyze the optimal decision and coordination of a com...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-06-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/11/12/2720 |
_version_ | 1797593660567584768 |
---|---|
author | Chunhua Tang Erbao Cao Zhanwen Shi |
author_facet | Chunhua Tang Erbao Cao Zhanwen Shi |
author_sort | Chunhua Tang |
collection | DOAJ |
description | Interval demand is becoming more common than ever before, since the variation bounds of uncertain demand are only required in practice, and they could be obtained through only a small amount of uncertain information. The goal of this paper is to analyze the optimal decision and coordination of a competitive dual-channel supply chain under an interval uncertain demand. For this purpose, we establish a centralized decision model and a wholesale price contract model under both interval demand and channel competition, respectively. Meanwhile, both the satisfaction degree of interval and the order relation of interval number are proposed to convert interval uncertain optimization problems to deterministic ones. Then, we derive the optimal pricing decisions, ordering quantities, and performances of partners and the supply chain system. Meanwhile, a revenue sharing contract is proposed to coordinate the competitive dual-channel supply chain under interval demand. Moreover, we found that the bounds of interval demand and channel sensitivities affect the optimal strategies and revenue sharing contract under interval uncertainty. Finally, we present a numerical analysis to illustrate the proposed results in this paper and conduct sensitivity analyses. The findings of this paper provide important references for decision makers and managers to make scientific decisions in an interval uncertain environment. |
first_indexed | 2024-03-11T02:11:28Z |
format | Article |
id | doaj.art-8fd1256becaf4e20bf49d17a72e69b14 |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-11T02:11:28Z |
publishDate | 2023-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-8fd1256becaf4e20bf49d17a72e69b142023-11-18T11:28:50ZengMDPI AGMathematics2227-73902023-06-011112272010.3390/math11122720Channel Competition and Coordination of a Dual-Channel Supply Chain under Interval DemandChunhua Tang0Erbao Cao1Zhanwen Shi2School of Management, Hunan University of Finance and Economics, Changsha 410205, ChinaCollege of Economics and Trade, Hunan University, Changsha 410079, ChinaSchool of Business Administration, Zhongnan University of Economics and Law, Wuhan 430073, ChinaInterval demand is becoming more common than ever before, since the variation bounds of uncertain demand are only required in practice, and they could be obtained through only a small amount of uncertain information. The goal of this paper is to analyze the optimal decision and coordination of a competitive dual-channel supply chain under an interval uncertain demand. For this purpose, we establish a centralized decision model and a wholesale price contract model under both interval demand and channel competition, respectively. Meanwhile, both the satisfaction degree of interval and the order relation of interval number are proposed to convert interval uncertain optimization problems to deterministic ones. Then, we derive the optimal pricing decisions, ordering quantities, and performances of partners and the supply chain system. Meanwhile, a revenue sharing contract is proposed to coordinate the competitive dual-channel supply chain under interval demand. Moreover, we found that the bounds of interval demand and channel sensitivities affect the optimal strategies and revenue sharing contract under interval uncertainty. Finally, we present a numerical analysis to illustrate the proposed results in this paper and conduct sensitivity analyses. The findings of this paper provide important references for decision makers and managers to make scientific decisions in an interval uncertain environment.https://www.mdpi.com/2227-7390/11/12/2720dual-channelinterval demandchannel competitioninterval programcoordination |
spellingShingle | Chunhua Tang Erbao Cao Zhanwen Shi Channel Competition and Coordination of a Dual-Channel Supply Chain under Interval Demand Mathematics dual-channel interval demand channel competition interval program coordination |
title | Channel Competition and Coordination of a Dual-Channel Supply Chain under Interval Demand |
title_full | Channel Competition and Coordination of a Dual-Channel Supply Chain under Interval Demand |
title_fullStr | Channel Competition and Coordination of a Dual-Channel Supply Chain under Interval Demand |
title_full_unstemmed | Channel Competition and Coordination of a Dual-Channel Supply Chain under Interval Demand |
title_short | Channel Competition and Coordination of a Dual-Channel Supply Chain under Interval Demand |
title_sort | channel competition and coordination of a dual channel supply chain under interval demand |
topic | dual-channel interval demand channel competition interval program coordination |
url | https://www.mdpi.com/2227-7390/11/12/2720 |
work_keys_str_mv | AT chunhuatang channelcompetitionandcoordinationofadualchannelsupplychainunderintervaldemand AT erbaocao channelcompetitionandcoordinationofadualchannelsupplychainunderintervaldemand AT zhanwenshi channelcompetitionandcoordinationofadualchannelsupplychainunderintervaldemand |