A Risk-Averse Newsvendor Model Under Trade Credit Contract with CVaR

2017 ◽  
Vol 34 (03) ◽  
pp. 1740012 ◽  
Author(s):  
Jianxin Chen ◽  
Yong-Wu Zhou
Keyword(s):  
Supply Chain ◽  
Value At Risk ◽  
Trade Credit ◽  
Wholesale Price ◽  
Conditional Value At Risk ◽  
Budget Constraints ◽  
Risk Averse ◽  
Optimal Ordering ◽  
Ordering Quantity ◽  
Credit Contract

A supply chain with a supplier and a risk-averse retailer is considered in the paper under trade credit contract. The retailer as newsvendor faces a non-negative random demand and the supplier provides the trade credit for the risk-averse retailer with budget constraints. Different from the existing research, in a conditional value-at-risk (CVaR) framework, the optimal ordering quantity and wholesale price are obtained. Analytical results are obtained for the newsvendor retailer’s optimal ordering quantity and supplier’s optimal wholesale price under CVaR measure. Sensitivity analysis is also yielded. It is found that the optimal ordering quantity decreases as the degree of risk aversion increases. Furthermore, we analyze the effect of the initial budget of retailer and the wholesale price on the order quantity decision. This paper also finds that the trade credit contract could create value for a risk-averse supply chain with budget constraints. Finally, to compare with the existing results the theoretical analysis and numerical examples are illustrated.

scholarly journals Optimal Procurement Strategy for Supply Chain with Trade Credit and Backorder under CVaR Criterion

2021 ◽  
Vol 13 (18) ◽  
pp. 10201
Author(s):  
Gaoke Wu ◽  
Bo Feng ◽  
Libin Guo
Keyword(s):  
Supply Chain ◽  
Confidence Level ◽  
Value At Risk ◽  
Trade Credit ◽  
Wholesale Price ◽  
Conditional Value At Risk ◽  
Risk Averse ◽  
Financial Pressure ◽  
Strategy Model ◽  
Credit Financing

Some capital-constrained and risk-averse retailers may unable to obtain financing from banks due to insufficient collateral and high loan costs, so some retailers tend to use trade credit financing to ease their financial pressure. For the two echelon supply chain composed of a well-funded supplier and a capital-constrained retailer with risk-averse preference, a trade credit strategy model with the supplier-led is established in this paper. By analyzing both parties’ benefits, we derive the model solution and provide optimal decisions to all petitioners. The results obtained in this paper show that the optimum order quantity under the Conditional Value-at-Risk (CVaR) criterion declines w.r.t. the confidence level, and the wholesale price of the supplier increases w.r.t. the confidence level. The reason is that when the retailer makes fewer orders, the supplier will correspondingly increase the wholesale price to maximize their profit. On the other hand, the ordering policy with allowing backorder will make the retailer place fewer orders. Finally, the proposed model is indicated by the given numerical experiments.

scholarly journals Trade Credit and Revenue Sharing of Supply Chain with a Risk-Averse Retailer

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Caiyun Liu ◽  
Kebing Chen ◽  
Mingxia Li ◽  
Haijie Zhou
Keyword(s):  
Supply Chain ◽  
Risk Aversion ◽  
Value At Risk ◽  
Trade Credit ◽  
Revenue Sharing ◽  
Conditional Value At Risk ◽  
Optimal Decision ◽  
Risk Averse ◽  
Credit Period ◽  
Optimal Decisions

In this paper, we develop three supply chain game models, i.e., the basic model, the single trade credit model, and the trade credit and revenue sharing collaboration model. Conditional value-at-risk (CVaR) criterion is used as the measure of risk assessment in these models. We analyze the optimal decisions in the centralized and decentralized situations, respectively, and verify that single trade credit cannot coordinate the supply chain. However, the collaboration contract can coordinate the supply chain. Furthermore, this paper explores the influence of risk-aversion factor, trade credit period, revenue sharing coefficient, and other parameters on the optimal decisions and studies the feasible range of Pareto improvement in the collaborative model. In numerical experiments, the results show that the decisions and profits of both the manufacturer and the retailer reply on the degree of the risk aversion, the trade credit period, and the revenue sharing coefficient. The collaborative contract effectively improves supply chain performance and achieves a ‘win-win’ situation for the supply chain members. In addition, we also consider two extensions for our research. One extension shows that the collaborative contract of trade credit and buyback can also coordinate the supply chain in a certain range. The other extension considers the optimal decision of a risk-averse manufacturer with CVaR.

scholarly journals The Model of Distributor Chain Financing Based on Buy Back Guarantee Contract

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Jian-xin Chen ◽  
Jia-yin Chen
Keyword(s):  
Supply Chain ◽  
Trade Credit ◽  
Wholesale Price ◽  
Supply Chain System ◽  
Chain System ◽  
The Core ◽  
Core Enterprise ◽  
Buy Back ◽  
Optimal Ordering ◽  
Ordering Quantity

This paper considers the strategy employed by a buy back guarantee contract with a capital-constrained distributor and a core enterprise. The distributor faces a nonnegative random demand, and the core enterprise applies buy back guarantee contract in order to interact with the capital-constrained distributor. Mathematical model is built to get the optimal ordering quantity of the distributor and the optimal wholesale price of the core enterprise. Then sensitivity analysis of optimal ordering quantity is obtained about the wholesale price, the initial funds, and the salvage of the product. On that basis, the comparison is made between two financing modes—trade credit contract and buy back guarantee contract. In the end, a numerical analysis is illustrated. The results show that the different financing modes bring the different expected profits to supply chain system with the different initial funds, finding that the financing modes, buy back guarantee contract discussed in the paper, can create more value for supply chain system than trade credit contract.

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.

Coordinating Supply Chain with Buy-Back Contracts in the Presence of Risk Aversion

2018 ◽  
Vol 35 (02) ◽  
pp. 1840008 ◽  
Author(s):  
Chunlin Luo ◽  
Xin Tian ◽  
Xiaobing Mao ◽  
Qiang Cai
Keyword(s):  
Supply Chain ◽  
Risk Aversion ◽  
Value At Risk ◽  
Performance Measure ◽  
Expected Profit ◽  
Conditional Value At Risk ◽  
Allocation Rule ◽  
Risk Averse ◽  
Buy Back ◽  
The Impact

This paper addresses the operational decisions and coordination of the supply chain in the presence of risk aversion, where the risk averse retailer’s performance is measured by a combination of the expected profit and conditional value-at-risk (CVaR). Such performance measure reflects the desire of the retailer to maximize the expected profit on one hand and to control the downside risk of the profit on the other hand. The impact of risk aversion on the supply chain’s decision and performance is also explored. To overcome the inefficiency due to the double marginalization and the aggravation resulting from risk aversion, we investigate the buy-back contract to coordinate the supply chain. Such contract can largely increase the supply chain’s profit, especially when the retailer is more risk averse. Lastly, we extend such risk measure to the widely-used business model nowadays — platform selling model, and explore the impact of the allocation rule on the manufacturer’s decision.

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.

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.

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.

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