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...

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Main Authors: Chunhua Tang, Erbao Cao, Zhanwen Shi
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/12/2720
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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.
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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
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AT erbaocao channelcompetitionandcoordinationofadualchannelsupplychainunderintervaldemand
AT zhanwenshi channelcompetitionandcoordinationofadualchannelsupplychainunderintervaldemand