Channel Coordination with a Risk‐Neutral Supplier and a Downside‐Risk‐Averse Retailer

We investigate how a supply chain involving a risk‐neutral supplier and a downside‐risk‐averse retailer can be coordinated with a supply contract. We show that the standard buy‐back or revenue‐sharing contracts may not coordinate such a channel. Using a definition of coordination of supply chains proposed earlier by the authors, we design a risk‐sharing contract that offers the desired downside protection to the retailer, provides respective reservation profits to the agents, and accomplishes channel coordination.     

Benefits of Hybrid Lateral Transshipments in Multi‐Item Inventory Systems under Periodic Replenishment

Lateral transshipments are a method of responding to shortages of stock in a network of inventory‐holding locations. Conventional reactive approaches only seek to meet immediate shortages. The study proposes hybrid transshipments which exploit economies of scale by moving additional stock between locations to prevent future shortages in addition to meeting immediate ones. The setting considered is motivated by retailers who operate networks of outlets supplying car parts via a system of periodic replenishment. It is novel in allowing non‐stationary stochastic demand and general patterns of dependence between multiple item types. The generality of our work makes it widely applicable. We develop an easy‐to‐compute quasi‐myopic heuristic for determining how hybrid transshipments should be made. We obtain simple characterizations of the heuristic and demonstrate its strong cost performance in both small and large networks in an extensive numerical study.     

Quantity Discount‐Based Inventory Coordination: Effectiveness and Critical Environmental Factors

It is understood that quantity discounts provide a practical foundation for coordinating inventory decisions in supply chains. The primary objective of this research is to test, under a variety of environmental conditions, the effectiveness of quantity discounts as an inventory coordination mechanism between a buyer and a supplier. A comprehensive simulation experiment with anova has been designed to investigate the impacts of (1) choice of quantity discount‐based inventory coordination policies, (2) magnitude of demand variation, (3) buyer's and supplier's relative inventory cost structure, and (4) buyer's economic time‐between‐orders on the effectiveness of supply chain inventory coordination. The analytical results confirm that the quantity discount policies have managerial properties as a mediator for inventory coordination. The results also show that the performance of quantity discount‐based inventory coordination policies is influenced significantly by environmental factors, such as the magnitude of demand variation, the buyer's and the supplier's inventory cost structure, and the buyer's economic time‐between‐orders.     

Misplaced Inventory and Radio‐Frequency Identification (RFID) Technology: Information and Coordination

Misplaced inventory is a major operational problem in many supply chains. Radio‐frequency identification (RFID) technology has been publicized as a promising solution for the misplaced inventory. Adoption of this technology has a fixed cost and variable cost of implementation, which can cause incentive issues in the supply chain. In this paper, we consider a supply chain under misplacement of inventory subject to uncertain demand. We study both centralized and decentralized cases and identify the conditions to coordinate the supply chain under implementation of RFID. We show that the incentives of the parties for investing in the technology are not perfectly aligned in the existence of the fixed cost of investment. Based on the relative payments of the parties for the fixed cost of investment, the incentives to adopt RFID can be characterized into regions, where we observe only one party or two parties benefiting from the technology when the tag price falls in a region specified in the paper. We further establish the effects of changes in mean and variance of a uniform demand on the incentives for investing in RFID and find that the incentives of the firms may indeed decrease as demand becomes more variable.     

Heuristics for Base‐Stock Levels in Multi‐Echelon Distribution Networks

We study inventory optimization for locally controlled, continuous‐review distribution systems with stochastic customer demands. Each node follows a base‐stock policy and a first‐come, first‐served allocation policy. We develop two heuristics, the recursive optimization (RO) heuristic and the decomposition‐aggregation (DA) heuristic, to approximate the optimal base‐stock levels of all the locations in the system. The RO heuristic applies a bottom‐up approach that sequentially solves single‐variable, convex problems for each location. The DA heuristic decomposes the distribution system into multiple serial systems, solves for the base‐stock levels of these systems using the newsvendor heuristic of Shang and Song (2003), and then aggregates the serial systems back into the distribution system using a procedure we call “backorder matching.” A key advantage of the DA heuristic is that it does not require any evaluation of the cost function (a computationally costly operation that requires numerical convolution). We show that, for both RO and DA, changing some of the parameters, such as leadtime, unit backordering cost, and demand rate, of a location has an impact only on its own local base‐stock level and its upstream locations’ local base‐stock levels. An extensive numerical study shows that both heuristics perform well, with the RO heuristic providing more accurate results and the DA heuristic consuming less computation time. We show that both RO and DA are asymptotically optimal along multiple dimensions for two‐echelon distribution systems. Finally, we show that, with minor changes, both RO and DA are applicable to the balanced allocation policy.     

A Continuous‐Review Inventory Model with Disruptions at Both Supplier and Retailer

We consider a continuous‐review inventory problem for a retailer who faces random disruptions both internally and externally (from its supplier). We formulate the expected inventory cost at this retailer and analyze the properties of the cost function. In particular, we show that the cost function is quasi‐convex and therefore can be efficiently optimized to numerically find the optimal order size from the retailer to the supplier. Computational experiments provide additional insight into the problem. In addition, we introduce an effective approximation of the cost function. Our approximation can be solved in closed form, which is useful when the model is embedded into more complicated supply chain design or management models.     

基于损失厌恶型参与者的易逝品供应链价格补贴契约研究

本文运用前景理论,探讨存在缺货损失情况下由损失厌恶型零售商和损失厌恶型供应商组成的供应链价格补贴契约设计。文章研究供应商为损失厌恶型时,损失厌恶型零售商分别在批发价格契约和价格补贴契约下的订货行为。研究结果表明损失厌恶型零售商在批发价格契约下的最优订货量可能偏离系统最优订货量,损失厌恶型供应商通过价格补贴契约可以协调整个供应链。最后通过算例分析,验证了价格补贴契约在协调供应链中的有效性。     

零售商的资金约束对协调契约的影响分析

在零售商促销下,探讨了零售商的资金约束对使用收益共享契约和回购契约协调供应链的影响。分析了零售商拥有不同运营资金下供应链的契约协调问题,研究表明：在运营资金相对充裕下,收益共享契约不仅能协调供应链,且能实现渠道收益的任意分配,但回购契约不能实现渠道收益的任意分配,除非运营资金非常充裕;在运营资金不足下,收益共享契约仍有可能协调供应链,但回购契约不能协调供应链。讨论了资金的时间价值对两个契约协调供应链的影响,结果表明：在回购契约下,资金利率越大,具有资金约束零售商的供应链被协调的可能性越大,但资金利率对收益共享契约没有影响。最后提供了数值分析。研究中得到一些管理启示,可为资金约束供应链的协调管理提供理论借鉴。     

A Multi‐Supplier Sourcing Problem with a Preference Ordering of Suppliers

We study a sourcing problem faced by a firm that seeks to procure a product or a component from a pool of alternative suppliers. The firm has a preference ordering of the suppliers based on factors such as their past performance, quality, service, geographical location, and financial strength, which are commonly included in a supplier scorecard system. Thus, the firm first uses available inventory from supplier 1, if any, then supplier 2, if any, and so on. The suppliers differ in costs and prices. The buyer firm seeks to determine which suppliers to purchase from and in what quantities to maximize its total expected profit subject to the preference ordering constraint. We present the optimal solution to this problem, and show that it has a portfolio structure. It consists of a sub‐set of suppliers that are ordered by their underage and overage costs. This portfolio achieves a substantial profit gain compared to sourcing from a unique supplier. We present an efficient algorithm to compute the optimal solution. Our model applies to component sourcing problems in manufacturing, merchandizing problems in retailing, and capacity reservation problems in services.     

下游零售商强势背景下的多对一供应链协调模型

本文研究下游零售商强势背景下,包含多供应商、单零售商的供应链协调问题。首先,提炼出一类能够反映强势零售商运作特点的契约:主动向上调节生产商的生产行为以降低成本;根据市场需求变化积极调整订货;接下来借鉴斯塔尔伯格博弈的分析思路,得到了能够被强势零售商用来协调供应链的契约参数方程,并证明了该契约具有较强的供应链系统利润分配能力。最终结果表明,与一对一供应链相比,多个供应商之间的水平竞争在一定程度上减轻了零售商的协调压力,零售商可以通过更少的转移支付达到预期的协调目的。     

Collaboration and Coordination in Supply Chain Management and E‐Commerce

Research in Supply Chain Management and Electronic Commerce has grown dramatically in the past decade as firms have intensified efforts to streamline operations and improve service to a diverse and demanding customer base. Central to this theme is the need for firms to look outside of their organizations for opportunities to collaborate and coordinate with partners to ensure that the supply chain is both efficient and responsive to dynamic market needs. Such collaboration and coordination opportunities introduce new challenges and complexities as a result of increased problem scale and scope, and potentially conflicting incentives among different supply chain players. Motivated by these new challenges, this special issue explores a range of coordination and collaboration problems, stressing the role of information and associated technologies in facilitating and enabling supply chain integration.     

Supply Chain Coordination in a Market with Customer Service Competition

We consider a market with two competing supply chains, each consisting of one wholesaler and one retailer. We assume that the business environment forces supply chains to charge similar prices and to compete strictly on the basis of customer service. We model customer service competition using game‐theoretical concepts. We consider three competition scenarios between the supply chains. In the uncoordinated scenario, individual members of both supply chains maximize their own profits by individually selecting their service and inventory policies. In the coordinated scenario, wholesalers and retailers of each supply chain coordinate their service and inventory policy decisions to maximize supply chain profits. In the hybrid scenario, competition is between one coordinated and one uncoordinated supply chain. We discuss the derivation of the equilibrium service strategies, resulting inventory policies, and profits for each scenario, and compare the equilibria in a numerical study. We find that coordination is a dominant strategy for both supply chains, but as in the prisoner's dilemma, both supply chains are often worse off under the coordinated scenario relative to the uncoordinated scenario. The consumers are the only guaranteed beneficiaries of coordination.     

联合促销下双渠道VMI供应链的竞争与协调

本文在双渠道VMI供应链中,假设制造商和零售商分别处于领导者和追随者的地位,考虑了制造商通过联合促销协调供应链上下游的策略以及双渠道需求之间的搭便车效应,以此为背景建立了制造商和零售商之间的Stackelberg博弈模型,并通过拉格朗日乘数法求解出了制造商的最优发货策略和零售商的最优定价与促销策略。研究发现制造商开辟网上渠道直销产品后,零售商缺货时间比例增大。进一步研究发现,制造商承担促销成本的比例,双渠道之间的搭便车效应对供应链成员的决策和利润有显著影响。另外,双渠道的需求越不稳定,则制造商开辟网上销售渠道后获利越高,同时零售商的利润越低。最后,通过算例验证了模型的有效性并对模型中主要参数进行了灵敏度分析。     

Heuristic Coordination of Decentralized Inventory Systems Using Induced Backorder Costs

In this paper, we investigate a one‐warehouse multiple‐retailer system, where the inventory control decisions are coordinated using a near optimal induced backorder cost, β*. All installations use continuous review installation‐stock (R, Q) policies. The analysis builds on an approximation model where the stochastic warehouse delays are replaced by their correct averages. The contributions include insights as to how β* is influenced by system parameters, and the determination of simple closed form β* estimates. The latter offering a practical means to achieve coordinated control of large size systems.     

Coordination of Supply Chains with Risk‐Averse Agents

The extant supply chain management literature has not addressed the issue of coordination in supply chains involving risk‐averse agents. We take up this issue and begin with defining a coordinating contract as one that results in a Pareto‐optimal solution acceptable to each agent. Our definition generalizes the standard one in the risk‐neutral case. We then develop coordinating contracts in three specific cases: (i) the supplier is risk neutral and the retailer maximizes his expected profit subject to a downside risk constraint; (ii) the supplier and the retailer each maximizes his own mean‐variance trade‐off; and (iii) the supplier and the retailer each maximizes his own expected utility. Moreover, in case (iii), we show that our contract yields the Nash Bargaining solution. In each case, we show how we can find the set of Pareto‐optimal solutions, and then design a contract to achieve the solutions. We also exhibit a case in which we obtain Pareto‐optimal sharing rules explicitly, and outline a procedure to obtain Pareto‐optimal solutions.     

碳税政策下随机双渠道库存与协调研究

构建碳税政策下由单个制造商和单个零售商组成的双渠道供应链模型,在考虑渠道之间缺货转换的基础上,研究批发价格合约和双向收入共享契约下渠道间双渠道库存竞争问题,并设计了由双向收入共享合约和转移支付机制组成的组合合约机制使制造商和零售商实现共赢,以此保证合约的有效执行。研究表明：批发价合约和双向收入共享合约下,制造商分别通过调控批发价格和收入分享比例来调控双渠道的库存水平,其中网络渠道最优库存水平随着零售渠道单位碳排放量增加而增加,零售商的库存水平随着其单位碳排放量增加而减少。进一步分析了渠道间单位产品碳排放差异对批发价格,以及传统零售渠道和网络渠道库存水平的影响如何受到缺货转换率和碳税税率的调节。     

库存成本变化的VMI供应链协调

提出了库存成本变化的经济订货批量(EOQ)模型,基于该模型研究了库存成本变化时供应商管理库存(VMI)系统的最优协议问题。在该系统中,订货商和供应商达成缺货成本共担协议：当缺货发生时,供应商需要向订货商支付缺货补偿。订货商和供应商分散决策,订货商通过设计协议来减少其成本,而供应商通过制定补货决策来缩小自身成本。通过与传统系统和整合系统的比较,得出了库存成本变化时VMI系统的最优补货决策和缺货成本共担协议。采用数值算例验证了分析结果。结果表明,当且仅当供应商预期成本等于整合系统的最小总成本与固定缺货罚金之和时,VMI系统与整合系统具有相同的补货决策和系统绩效,即能够实现供应链协调。     

供应链库存协调策略研究

研究和分析了直运型供应链通过共同补给期协调库存的策略问题。在该供应链中,单一供应商提供单一产品给面临随机需求的单一零售商。在所提出的库存协调策略条件下,供应商指定共同补给期,当零售商按供应商指定的共同补给期作为其订货周期时,供应商提供零售商一定的价格折扣。这种协调策略可以视为Stackelberg博弈。在阐述了解决该博弈问题的方法后,进行了数值实验,分析了采用这种协调策略的利益。     

供应链中基于Stackelberg博弈的信息共享协调问题研究

基于需求信息的不确定情况,本文对由一个供应商和一个销售商组成的两层供应链系统进行了研究,分析了搜集不确定需求信息的条件,回答了什么条件下销售商与供应商共享这种不确定的需求信息等,为管理者进行供应链实践提供了一些有益的帮助。     

Competition and Coordination in a Two‐Channel Supply Chain

We study competition and coordination in a supply chain in which a single supplier both operates a direct channel and sells its product through multiple differentiated retailers. We study analytically the supply chain with symmetric retailers and find that the supplier prefers to have as many retailers as possible in the market, even if the retailers' equilibrium retail price is lower than that of the supplier, and even if the number of retailers and their cost or market advantage prevent sales through the direct channel. We find that the two‐channel supply chain may be subject to inefficiencies not present in the single‐channel supply chain. We show that several contracts known to coordinate a single‐channel supply chain do not coordinate the two‐channel supply chain; thus we propose a linear quantity discount contract and demonstrate its ability to perfectly coordinate the two‐channel supply chain with symmetric retailers. We provide some analytical results for the supply chain with asymmetric retailers and propose an efficient solution approach for finding the equilibrium. We find numerically that the supplier still benefits from having more retailers in the market and that linear quantity discount contracts can mitigate supply chain inefficiency, though they no longer achieve perfect coordination.