Dynamic Pricing and Supply Coordination with Reimbursement Contract under Random Yield and Demand

This paper investigates the dynamic pricing and supply chain coordination in a decentralized system that consists of one supplier and one manufacturer, in which both the market demand and production yield are stochastic. We show that the centralized expected profit is jointly concave in the producti...

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Main Authors: Guo Li, Lun Ran, Xiaohang Yue, Zhaohua Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/631232
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author Guo Li
Lun Ran
Xiaohang Yue
Zhaohua Wang
author_facet Guo Li
Lun Ran
Xiaohang Yue
Zhaohua Wang
author_sort Guo Li
collection DOAJ
description This paper investigates the dynamic pricing and supply chain coordination in a decentralized system that consists of one supplier and one manufacturer, in which both the market demand and production yield are stochastic. We show that the centralized expected profit is jointly concave in the production quantity and order quantity when the price is ex-ante selected. We also derive the equilibrium strategies in the decentralized system and prove that the entire profit of supply chain is inevitably lower than that under centralized system. Based on this, we propose a reimbursement contract to coordinate the decentralized supply chain so as to achieve the maximized profit. It is worth mentioning that, under reimbursement contract, the equilibrium production and order quantities are irrelevant to the manufacturer's risk sharing coefficient but are only determined by the supplier’s risk sharing coefficient.
format Article
id doaj-art-fc98929f1603484eb125091b34fb64f1
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-fc98929f1603484eb125091b34fb64f12025-02-03T01:13:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/631232631232Dynamic Pricing and Supply Coordination with Reimbursement Contract under Random Yield and DemandGuo Li0Lun Ran1Xiaohang Yue2Zhaohua Wang3School of Management and Economics, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Management and Economics, Beijing Institute of Technology, Beijing 100081, ChinaLubar School of Business, University of Wisconsin-Milwaukee, Milwaukee, WI 53201-0413, USASchool of Management and Economics, Beijing Institute of Technology, Beijing 100081, ChinaThis paper investigates the dynamic pricing and supply chain coordination in a decentralized system that consists of one supplier and one manufacturer, in which both the market demand and production yield are stochastic. We show that the centralized expected profit is jointly concave in the production quantity and order quantity when the price is ex-ante selected. We also derive the equilibrium strategies in the decentralized system and prove that the entire profit of supply chain is inevitably lower than that under centralized system. Based on this, we propose a reimbursement contract to coordinate the decentralized supply chain so as to achieve the maximized profit. It is worth mentioning that, under reimbursement contract, the equilibrium production and order quantities are irrelevant to the manufacturer's risk sharing coefficient but are only determined by the supplier’s risk sharing coefficient.http://dx.doi.org/10.1155/2013/631232
spellingShingle Guo Li
Lun Ran
Xiaohang Yue
Zhaohua Wang
Dynamic Pricing and Supply Coordination with Reimbursement Contract under Random Yield and Demand
Discrete Dynamics in Nature and Society
title Dynamic Pricing and Supply Coordination with Reimbursement Contract under Random Yield and Demand
title_full Dynamic Pricing and Supply Coordination with Reimbursement Contract under Random Yield and Demand
title_fullStr Dynamic Pricing and Supply Coordination with Reimbursement Contract under Random Yield and Demand
title_full_unstemmed Dynamic Pricing and Supply Coordination with Reimbursement Contract under Random Yield and Demand
title_short Dynamic Pricing and Supply Coordination with Reimbursement Contract under Random Yield and Demand
title_sort dynamic pricing and supply coordination with reimbursement contract under random yield and demand
url http://dx.doi.org/10.1155/2013/631232
work_keys_str_mv AT guoli dynamicpricingandsupplycoordinationwithreimbursementcontractunderrandomyieldanddemand
AT lunran dynamicpricingandsupplycoordinationwithreimbursementcontractunderrandomyieldanddemand
AT xiaohangyue dynamicpricingandsupplycoordinationwithreimbursementcontractunderrandomyieldanddemand
AT zhaohuawang dynamicpricingandsupplycoordinationwithreimbursementcontractunderrandomyieldanddemand