Implications of Contract-Bargaining Mechanisms for Coordination and Profit Sharing in a Distribution Channel

The present work models a three-level distribution channel that has a manufacturer, multiple distributors, and multiple retailers under each distributor to analyze channel members’ cooperative, semicooperative, and noncooperative decisions for an arbitrary replenishment cycle other than the first in...

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Main Authors: Nikunja Mohan Modak, Shibaji Panda, Sudipta Sinha, Dipankar Ghosh
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/3544374
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spelling doaj-c8e2b90c95b4444daa4e46ad5329ba342021-07-19T01:04:34ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/3544374Implications of Contract-Bargaining Mechanisms for Coordination and Profit Sharing in a Distribution ChannelNikunja Mohan Modak0Shibaji Panda1Sudipta Sinha2Dipankar Ghosh3Palpara VidyamandirDepartment of Controller of ExaminationsDepartment of MathematicsDepartment of Electronics & Communication EngineeringThe present work models a three-level distribution channel that has a manufacturer, multiple distributors, and multiple retailers under each distributor to analyze channel members’ cooperative, semicooperative, and noncooperative decisions for an arbitrary replenishment cycle other than the first in the infinite time horizon. It uses two sequential bargaining processes: forward contract-bargaining (FCB) and backward contract-bargaining (BCB) to eliminate channel conflict and allocate additional profit among channel members. We successfully implement a hybrid contract mechanism that combines wholesale price discount (WPD) and subsidy on holding cost for channel coordination. The concept of Nash bargaining is applied for additional profit sharing. The proposed hybrid contract can fully coordinate the tree-like supply chain and enrich the entire profit of the supply chain at its best. The manufacturer provides WPD to each distributor separately, and each distributor provides a subsidy to each of its retailers independently. Both the sequential bargaining processes are designed in such a way that an upstream channel member always has the opportunity to account for different reservations for its different downstream members. Although each bargaining process eliminates the channel conflict, finds win-win ranges, and distributes surplus profit, the distributors prefer BCB, whereas the manufacturer and the retailers prefer the FCB. Also, without receiving WPD, the distributors have the ability to coordinate the supply chain and find win-win profits by subsidizing the retailers’ holding costs. A numerical case is presented to explain the findings of the work.http://dx.doi.org/10.1155/2021/3544374
collection DOAJ
language English
format Article
sources DOAJ
author Nikunja Mohan Modak
Shibaji Panda
Sudipta Sinha
Dipankar Ghosh
spellingShingle Nikunja Mohan Modak
Shibaji Panda
Sudipta Sinha
Dipankar Ghosh
Implications of Contract-Bargaining Mechanisms for Coordination and Profit Sharing in a Distribution Channel
Mathematical Problems in Engineering
author_facet Nikunja Mohan Modak
Shibaji Panda
Sudipta Sinha
Dipankar Ghosh
author_sort Nikunja Mohan Modak
title Implications of Contract-Bargaining Mechanisms for Coordination and Profit Sharing in a Distribution Channel
title_short Implications of Contract-Bargaining Mechanisms for Coordination and Profit Sharing in a Distribution Channel
title_full Implications of Contract-Bargaining Mechanisms for Coordination and Profit Sharing in a Distribution Channel
title_fullStr Implications of Contract-Bargaining Mechanisms for Coordination and Profit Sharing in a Distribution Channel
title_full_unstemmed Implications of Contract-Bargaining Mechanisms for Coordination and Profit Sharing in a Distribution Channel
title_sort implications of contract-bargaining mechanisms for coordination and profit sharing in a distribution channel
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description The present work models a three-level distribution channel that has a manufacturer, multiple distributors, and multiple retailers under each distributor to analyze channel members’ cooperative, semicooperative, and noncooperative decisions for an arbitrary replenishment cycle other than the first in the infinite time horizon. It uses two sequential bargaining processes: forward contract-bargaining (FCB) and backward contract-bargaining (BCB) to eliminate channel conflict and allocate additional profit among channel members. We successfully implement a hybrid contract mechanism that combines wholesale price discount (WPD) and subsidy on holding cost for channel coordination. The concept of Nash bargaining is applied for additional profit sharing. The proposed hybrid contract can fully coordinate the tree-like supply chain and enrich the entire profit of the supply chain at its best. The manufacturer provides WPD to each distributor separately, and each distributor provides a subsidy to each of its retailers independently. Both the sequential bargaining processes are designed in such a way that an upstream channel member always has the opportunity to account for different reservations for its different downstream members. Although each bargaining process eliminates the channel conflict, finds win-win ranges, and distributes surplus profit, the distributors prefer BCB, whereas the manufacturer and the retailers prefer the FCB. Also, without receiving WPD, the distributors have the ability to coordinate the supply chain and find win-win profits by subsidizing the retailers’ holding costs. A numerical case is presented to explain the findings of the work.
url http://dx.doi.org/10.1155/2021/3544374
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