scholarly journals Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 586
Author(s):  
Wei Liu ◽  
Shiji Song ◽  
Ying Qiao ◽  
Han Zhao
Keyword(s):  
Supply Chain ◽  
Loss Aversion ◽  
Value At Risk ◽  
Supply Chain Coordination ◽  
Wholesale Price ◽  
Conditional Value At Risk ◽  
Optimal Order ◽  
Confidence Levels ◽  
Quantity Flexibility ◽  
Quantity Flexibility Contract

This paper studies the supply chain coordination where the retailer is loss-averse, and a combined buyback and quantity flexibility contract is introduced. The loss-averse retailer’s objective is to maximize the Conditional Value-at-Risk of utility. It is shown the combined contract can coordinate the chain and a unique coordinating wholesale price exists if the confidence level is below a threshold. Moreover, the retailer’s optimal order quantity, expected utility and coordinating wholesale price are decreasing in loss aversion and confidence levels, respectively. We also find that when the contract parameters are restricted, the combined contract may coordinate the supply chain even though neither of its component contracts coordinate the chain.

Wholesale Price for Supply Chain Coordination via Conditional Value-at-Risk Minimization

2010 ◽  
Vol 20-23 ◽  
pp. 88-93 ◽  
Author(s):  
Chuan Xu Wang
Keyword(s):  
At Risk ◽  
Supply Chain ◽  
Value At Risk ◽  
Supply Chain Coordination ◽  
Wholesale Price ◽  
Conditional Value At Risk ◽  
Optimal Order ◽  
Individual Member ◽  
Risk Minimization ◽  
Proposed Model

The theory of the conditional value-at-risk (CVaR) in financial risk management is considered in this paper to develop a model of supply chain coordination with a wholesale pricing policy. The proposed model solves the drawbacks of objective function in current supply chain coordination model. A numerical example is given to demonstrate the effectiveness of the proposed model. The following helpful conclusions are drawn from the paper: with the increase of the degree of risk averting for supply chain individual member, the optimal order quantity of supply chain is decreasing, while the optimal profit is decreasing; If supplier’s risk averting degree increases, supplier has to increase wholesale price to achieve supply chain coordination; If retailer’s risk averting degree increases, supplier has to decrease wholesale price to achieve supply chain coordination.

Coordinating Vulnerable Supply Chains with Option Contracts

2021 ◽  
pp. 2050053
Author(s):  
Zhongyi Liu ◽  
Shengya Hua ◽  
Guanying Wang
Keyword(s):  
Supply Chain ◽  
Risk Aversion ◽  
Value At Risk ◽  
Numerical Study ◽  
Supply Chain Coordination ◽  
Wholesale Price ◽  
Conditional Value At Risk ◽  
Option Contract ◽  
Risk Neutral ◽  
Disruption Risk

We investigate vulnerable supply chain coordination with an option contract in the presence of supply chain disruption risk caused by external and internal disturbances. The supply chain consists of a single risk-neutral supplier and a risk-averse retailer. We characterize the retailer’s order quantity decision under the Conditional Value-at-Risk (CVaR) criterion and the supplier’s production decision. The results show that facing disruption risk and risk-aversion, both the retailer and the supplier would be more prudent to order and produce less than the risk-neutral scenario, inducing damage to the supply chain performance. The number of options purchased is decreasing in disruption risk and the risk-aversion of the retailer. The supplier will increase production as the disruption risk decreases or the shortage penalty increases. When the supplier does not know the risk-aversion of the retailer, the former will produce more and bear a higher overstock risk. We also investigate conditions that facilitate vulnerable supply chain coordination and find that the existence of risk-aversion and disruption risk restrict the option price and exercise price to lower price levels. Finally, we compare the option contract with wholesale price contract from the supplier’s and retailer’s perspectives through a numerical study.

SUPPLY CHAIN COORDINATION WITH CVaR CRITERION

2009 ◽  
Vol 26 (01) ◽  
pp. 135-160 ◽  
Author(s):  
LEI YANG ◽  
MINGHUI XU ◽  
GANG YU ◽  
HANQIN ZHANG
Keyword(s):  
Supply Chain ◽  
Value At Risk ◽  
Supply Chain Coordination ◽  
Revenue Sharing ◽  
Retail Price ◽  
Conditional Value At Risk ◽  
Risk Averse ◽  
Mild Conditions ◽  
Quantity Flexibility ◽  
Buy Back

We study the coordination of supply chains with a risk-neutral supplier and a risk-averse retailer. Different from the downside risk setting, in a conditional value-at-risk (CVaR) framework, we show that the supply chain can be coordinated with the revenue-sharing, buy-back, two-part tariff and quantity flexibility contracts. Furthermore the revenue-sharing contracts are still equivalent to the buy-back contracts when the retail price is fixed. At the same time, it is shown that the risk-averse retailer of the coordinated supply chain can increase its profit by raising its risk-averse degree under mild conditions.

scholarly journals Coping with Loss Aversion and Risk Management in the Supply Chain Coordination

2021 ◽  
Vol 13 (8) ◽  
pp. 4364
Author(s):  
Wei Liu ◽  
Han Zhao ◽  
Shiji Song ◽  
Wenxuan He ◽  
Xiaochen Li
Keyword(s):  
Supply Chain ◽  
Loss Aversion ◽  
Confidence Level ◽  
Wholesale Price ◽  
Revenue Sharing ◽  
Conditional Value At Risk ◽  
Optimal Order ◽  
Order Quantity ◽  
Buyback Contract ◽  
Optimal Order Quantity

In this paper, we apply a combined revenue sharing and buyback contract to investigate the channel coordination of a two-echelon supply chain with a loss-averse retailer. Since loss-averse decision makers usually take on more risks, the Conditional Value-at-Risk (CVaR) measure is introduced to hedge against it and the retailer’s objective is to maximize the CVaR of utility. We obtain the retailer’s optimal order quantity under the combined contract. It is shown that there is a unique wholesale price coordinating the supply chain if the retailer’s confidence level is less than a threshold that is independent of contract parameters. Moreover, a complete sensitivity analysis of parameters is carried out. In particular, the retailer’s optimal order quantity and coordinating wholesale price decreases as the loss aversion or confidence level increases, while it increase as the buyback price or sharing coefficient increases. Furthermore, there exists the situation where the combined contract can coordinate the chain even though neither the revenue sharing nor buyback contract can when the contract parameters are constrained.

scholarly journals Research on the Fresh Agricultural Product Supply Chain Coordination with Supply Disruptions

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Sun Guohua
Keyword(s):  
Supply Chain ◽  
Supply Chain Coordination ◽  
Wholesale Price ◽  
Planning Horizon ◽  
Optimal Order ◽  
Agricultural Product ◽  
Supply Disruptions ◽  
Decentralized Supply Chain ◽  
Lump Sum ◽  
Coordination Contract

This paper develops a dynamic model in a one-supplier-one-retailer fresh agricultural product supply chain that experiences supply disruptions during the planning horizon. The optimal solutions in the centralized and decentralized supply chains are studied. It is found that the retailer’s optimal order quantity and the maximum total supply chain profit in the decentralized supply chain with wholesale price contract are less than that in the centralized supply chain. A two-part tariff contract is proposed to coordinate the decentralized supply chain with which the maximum profit can be achieved. It is found that the optimal wholesale price should be a decreasing piecewise function of the final output. To ensure that the supplier and the retailer both have incentives to accept the coordination contract, a lump-sum fee is offered. The interval of lump-sum fee is given leaving both the supplier and the retailer better off with the two-part tariff contract.

scholarly journals Optimal Decision of Deferred Payment Supply Chain considering Bilateral Risk-Aversion Degree

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Liu Liang ◽  
Li Futou
Keyword(s):  
Supply Chain ◽  
Risk Aversion ◽  
Wholesale Price ◽  
Conditional Value At Risk ◽  
Optimal Order ◽  
Risk Averse ◽  
Order Quantity ◽  
Initial Capital ◽  
Optimal Order Quantity ◽  
Degree Of Risk

This paper aims to fill up the gap that the previous research has never explored, the deferred payment supply chain with a risk-averse supplier. To this end, the conditional value-at-risk (CVaR) was adopted as a criterion to measure the influence of retailer’s deferred payment on supply chain performance. According to this criterion, the retailer’s optimal order quantity and the supplier’s optimal wholesale price per unit product were investigated under decentralized decision-making. Then, the existence of a unique optimal strategy was discussed for risk-averse supplier and retailer, and the values of risk-averse, initial capital, and wholesale price were calculated in detail. Finally, the theoretical results were testified through a numerical example. It is concluded that retailer’s optimal order quantity is negatively correlated with the wholesale price, initial capital, and degree of risk aversion, so that the retailer can benefit through proper risk aversion; the supplier’s expected profit decreases with the increase in the degree of risk aversion, yet the optimal wholesale price is determined by the degree of risk aversion of supplier and retailer. The research findings shed valuable new light on how to manage a supply chain involving risk-averse supplier and retailer.

scholarly journals Optimal Decisions for Adoption of Item-Level RFID in a Retail Supply Chain with Inventory Shrinkage under CVaR Criterion

2016 ◽  
Vol 2016 ◽  
pp. 1-17
Author(s):  
Chunming Xu ◽  
Daozhi Zhao
Keyword(s):  
Supply Chain ◽  
Recovery Rate ◽  
Value At Risk ◽  
Wholesale Price ◽  
Revenue Sharing ◽  
Conditional Value At Risk ◽  
Decentralized System ◽  
Revenue Sharing Contract ◽  
Item Level ◽  
Inventory Shrinkage

This paper investigates the effect of item-level RFID on inventory shrinkage in the retail supply chain, which consists of a risk-neutral manufacturer and a risk-averse retailer. Under conditional value-at-risk (CVaR) criterion, two different supply chain settings are discussed as follows. In the centralized setting, we develop the models in both RFID case and no RFID case, respectively. Comparisons between the two cases are made. In particular, a sufficient condition is given to judge whether to adopt item-level RFID. In the decentralized setting, we focus on discussing two different contract types including wholesale price contact and revenue sharing contract. Finally, number examples and sensitivity analysis are given to illustrate the proposed models. The results show that, for the centralized system, the sales-available rate, the recovery rate, and the tag cost are mainly the driving factors in evaluating the benefit of an item-level RFID. In particular, when the sales-available rate and the tag cost are quite small and the recovery rate is higher, the supply chain partners’ profits obtained by investment for RFID are improved significantly. For the decentralized system, under revenue sharing contract, Pareto improving outcome and coaffording risk can be achieved if the retailer sets an appropriate parameter for the manufacturer.

scholarly journals Coordinating a Supply Chain with a Loss-Averse Retailer under Yield and Demand Uncertainties

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Weiwei Luo ◽  
Dongguo Shao ◽  
Wei Liu ◽  
Zhuomin Wang
Keyword(s):  
Supply Chain ◽  
Loss Aversion ◽  
Wholesale Price ◽  
Risk Preference ◽  
Channel Coordination ◽  
Random Yield ◽  
Pareto Improvement ◽  
Risk Neutral ◽  
Quantity Flexibility ◽  
A Chain

This paper investigates the channel coordination of a supply chain (SC) consisting of a loss-averse retailer and a risk-neutral supplier under yield and demand uncertainties. Three existing contracts are analyzed. Our results demonstrate that the buyback (BB) and quantity flexibility (QF) contracts can not only coordinate the supply chain but also lead to Pareto improvement for each player, while the wholesale price (WP) contract fails to coordinate the chain due to the effects of double marginalization and risk preference. For comparison, a chain with a risk-neutral retailer is also analyzed. Furthermore, numerical examples are provided to demonstrate the effectiveness of the coordination contracts, and the impacts of loss aversion and random yield on the decision-making behaviors and system performance are then discussed.

scholarly journals Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic Price

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1791
Author(s):  
Shuangsheng Wu ◽  
Qi Li
Keyword(s):  
Supply Chain ◽  
Risk Aversion ◽  
Value At Risk ◽  
Risk Measure ◽  
Supply Chain Coordination ◽  
Conditional Value At Risk ◽  
Market Demand ◽  
Step Size ◽  
Quantity Discount ◽  
Related Factors

This paper constructs an emergency quantity discount contract to explore the inherent law of the contract coordinating the supply chain with stochastic market demand and price and the risk-averse supplier. Meanwhile, the conditional value-at-risk (CVaR) risk measure criterion is revised to study the influence of supplier’s risk aversion attitude on supply chain coordination. The results show that supplier risk aversion will cause the bifurcation of the relevant factors in the supply chain under the stochastic price. Within the bifurcation region, the supply chain cannot be coordinated; out of the bifurcation region, the supply chain can achieve coordination. The supply chain related factors’ variation range in the bifurcation region is related to the step size of the risk aversion factor and the normal distribution function’s variance of the market demand, and it increases with the latter.

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