规模效应下产品具有可替代性的竞争企业的外包决策

针对产品具有一定替代性的两个竞争企业(分别为企业1和企业2)和存在规模效应的上游供应商的外包决策问题, 构建了企业1 外包前后各方的利润模型,求解了下游企业的外包和自产的最优策略以及供应商的最佳批发价格,分析了企业1 的外包策略对企业2 和供应商的外包决策的影响,比较了产品替代性对外包前后各决策变量的影响。研究发现:当企业的单位生产成本高于外包成本时,企业也可能选择自产;而当企业的单位生产成本低于外包成本时,企业也可能选择产品外包。并对模型进行进一步的拓展,比较了下游企业作顺序和同时外包决策两种情景的异同。     

Contracting with asymmetric demand information in supply chains

We solve a buyback contract design problem for a supplier who is working with a retailer who possesses private information about the demand distribution. We model the retailer’s private information as a space of either discrete or continuous demand states so that only the retailer knows its demand state and the demand for the product is stochastically increasing in the state. We focus on contracts that are viable in practice, where the buyback price being strictly less than the wholesale price, which is itself strictly less than the retail price. We derive the optimal (for the supplier) buyback contract that allows for arbitrary allocation of profits to the retailer (subject to the retailer’s reservation profit requirements) and show that in the limit this contract leads to the first-best solution with the supplier keeping the entire channel’s profit (after the retailer’s reservation profit).     

Mitigating supply risk: an approach with quantity flexibility procurement

This paper considers a buyer that procures from its major supplier whose production is subject to random yield risk. To mitigate supply risk, the buyer can procure from another reliable supplier who provides quantity flexibility (QF) contract. Under both deterministic and stochastic demand, we study the buyer’s optimal procurement decisions. We analyze the structural properties of optimal solutions and identify the conditions under which the quantity flexibility procurement policy should be used. We also examine the effect of supply risk, flexibility, wholesale price and demand risk on the procurement decisions. We find that the higher supply risk and demand risk reduce the buyer’s profit but have different impact on the buyer’s order policy. For the QF supplier, it may not obtain more orders by providing larger flexibility to the buyer, on the contrary, doing this may benefit the risky supplier. For the QF supplier or risky supplier, given its competitor’s wholesale price, it can increase its order share by lower wholesale price.     

基于电商平台的混合销售渠道对供应链决策的影响研究

考虑到电商平台对消费者强大的吸引力,本文建立了由供应商和平台商构成的基于电商平台混合销售的供应链模型。混合销售渠道包含直销和分销,其中平台商拥有电商平台,供应商通过电商平台进行直销,平台商分享一定的收益;而分销是指平台商从供应商处批发产品进行销售。分别建立了集中式和分散式决策模型,研究发现:随着消费者对分销渠道接受程度的提高,两种情形下直销渠道的零售价不变,分销渠道的零售价提高;分散式情形下的批发价、供应商和平台商的利润均提高;随着供应商分享收益比例的提高,两种渠道的零售价都降低,但批发价提高,供应商的利润提高,而平台商的利润下降,但供应链的总利润提高;研究得到了保证博弈双方都能从直销渠道中获利的收益分享比例范围。     

规模不经济下基于一致定价和促销努力的双渠道供应链协调策略

在制造商存在规模不经济环境下,分别针对集中决策模式和分散决策模式,建立了基于一致定价和促销努力的双渠道供应链协调策略模型,分析了规模不经济和服务负溢出效应对供应链运营决策的影响,得到了集中和分散决策下各企业最优运作策略和收益。研究指出,规模不经济的双渠道供应链在分散决策批发价契约下无法实现供应链协调;而分散决策网络渠道收益共享契约能够实现双渠道总收益等于集中决策模式下供应链收益,但无法保证各主体始终获得高于批发价合同下的收益;进一步,设计了带有固定补偿的网络渠道收益共享契约,通过对固定补偿值的有效设计,不仅可以保证双渠道总收益等于集中决策模式下供应链收益,且可以始终保证各主体收益不低于分散决策批发价契约下其所得收益,从而实现各主体利益双赢以及供应链的有效协调。     

Coordination of a socially responsible two-stage supply chain under price-dependent random demand

This paper investigates the coordination problem of a supply chain (SC) composed of a manufacturer exhibiting corporate social responsibility (CSR) and a retailer faced with random demand. The random demand is made up of the multiplication of price-dependent demand and random demand factor (RDF), plus the CSR-dependent demand. The centralized decision problem of the SC is an extension of the existing price setting newsvendor problem (PSNP). It is found that the sufficient condition for the quasi-concavity of expected profit (EP) on PSNP can not ensure the quasi-concavity of EP of the SC. Then, the concavity condition of EP related to the CSR effect factor is presented in the case of uniformly distributed RDF and linear demand in price, and the concavity of EP is proven under centralized decision. For decentralized decision under manufacturer’s Stackelberg game, the manufacturer determines wholesale price and its CSR investment, and then the retailer decides the order quantity and the retail price. The standard revenue-sharing (RS) contract is found not able to coordinate the SC, so a modified RS (MRS) contract is proposed to coordinate the SC. Finally, numerical examples illustrate the validity of the theoretical analysis and the coordination effectiveness of the MRS contract via Matlab.     

基于微分对策的绿色供应链生态研发策略与协调机制

综合考虑产品绿色度和价格对市场需求的多重影响,构建微分博弈模型,运用最优控制理论,先后考察并比较批发价契约、收益共享契约和集中式决策三种情形下绿色供应链最优生态研发努力和定价策略,进一步采用Rubinstein讨价还价模型设计合理的利润分配契约。研究发现:收益共享契约无法促使绿色供应链实现协调,但在一定条件下,能够有效消除批发价契约的“双重边际效应”;集中式决策下,合理的利润分配契约能够保证供应链成员分得的利润“帕累托最优”,实现供应链协调,且该契约与收益共享比例有关。     

企业社会责任下碳减排优化策略与协调机制研究

基于企业社会责任(CSR)的视角,本文研究由生产低碳产品的制造商和零售商组成的二级供应链的最优策略及供应链协调问题。通过构造供应链成员具有社会责任感的效用函数,分析了CSR对各成员的利润和环境的影响。研究发现:制造商和零售商都是通过降低碳排放水平来体现社会责任感;无论制造商有社会责任感还是零售商有社会责任感,供应链的利润都增大;在收益共享-成本分摊合同(RC合同)下协调,可以使制造商和零售商实现双赢(帕累托最优);零售商应该承担更多的社会责任,降低碳排放水平。     

Monotonicity properties of wholesale price contracts

This paper contributes to the supply chain contracts literature in economics and operations by performing qualitative sensitivity analysis of a wholesale price contract in a two-echelon supply chain setting. Order-theory tools are used to derive sufficient conditions for monotonicity of contract parameters.The upstream supplier is modeled as a Stackelberg leader. The supplier is assumed to have complete information about the costs and revenue function of the downstream retailer. It is shown that an equilibrium wholesale price weakly increases with an increase in the supplier production cost rate, but it may increase or decrease with an increase in the retailer cost rate. As either the supplier production cost or the retailer cost increases, the supplier profit decreases weakly. Additional sensitivity analysis is performed assuming certain properties of the retailer revenue function.Several well-known results in the supply chain contracting literature can be considered as special cases of the more general theorems developed here. In particular, this paper reexamines the analysis of a newsvendor supply chain problem by Lariviere and Porteus [Lariviere, M.A., Porteus, E.L., 2001. Selling to the newsvendor: An analysis of price-only contracts. Manufacturing & Service Operations Management 3, 293–305]. This paper generalizes and extends their work, by establishing properties of the newsvendor demand distribution that guarantee monotonicity of the contract parameters, without requiring a unique contract solution.     

多重参照点、公平偏好和三级供应链协调机制设计

在“单个制造商—单个分销商—单个零售商”三级供应链框架下,考察零售商依赖于多重参照点的公平偏好对于供应链运作造成的偏差,并在此基础上设计一个能够实现供应链整体协调的利润共享组合契约。研究发现:零售商对分销商利润和制造商利润的公平感知影响批发价格和分销价格变动的机制具有差异性;零售商的公平偏好不影响供应链的整体利润,但是会引起利润在各厂商间的重新分配;通过实行一个合理的利润共享组合契约,可以在零售商具有公平偏好的情形下达到供应链全局最优。最后用数值仿真验证了该利润共享组合契约作为协调机制的可行性。     

Pareto-optimal contracts for a supply chain with satisficing objectives

We analyse a decentralized supply chain consisting of a supplier and a retailer, each with a satisficing objective, that is, to maximize the probability of achieving a predetermined target profit. The supply chain is examined under two types of commonly used contracts: linear tariff contracts (including wholesale price contracts as special cases) and buy-back contracts. First, we identify the Pareto-optimal contract(s) for each contractual form. In particular, it is shown that there is a unique wholesale price that is Pareto optimal for both contractual types. Second, we evaluate the performance of the Pareto-optimal contracts. In contrast to the well-known results for a supply chain with the traditional expected profit objectives, we show that wholesale price contracts can coordinate the supply chain whereas buy-back contracts cannot. This provides an additional justification for the popularity of wholesale price contracts besides their simplicities and lower administration costs.     

批发价格与收益共享合约并存下的供应链信息泄露研究

信息泄露是供应链企业之间进行信息共享的障碍之一,本文考虑供应商与在位者零售商、进入者零售商之间缔结不同类型合约下的信息泄露问题。鉴于供应商与在位者之间具有较长期的合作关系,他们之间以收益共享合约进行交易,而考虑到进入者零售商新进入此市场,他与供应商之间以批发价格合约进行交易。基于信号博弈的研究框架,分析了此设定下所导致的纯策略完美贝叶斯均衡,并给出了分离均衡、混同均衡以及非泄露均衡出现的条件。研究发现,当供应商与在位者之间的收益共享比例和供应商向进入者提供的批发价格满足一定条件时,供应商有动机不泄露在位者的订货量信息,即出现非泄露均衡。最后,通过数值算例对在位者、进入者以及供应商在分离均衡和非泄露均衡中的利润进行了比较分析。     

Selling to the “Newsvendor” with a forecast update: Analysis of a dual purchase contract

We consider a supply chain in which a manufacturer sells to a procure-to-stock retailer facing a newsvendor problem with a forecast update. Under a wholesale price contract, the retailer waits as long as she can and optimally places her order after observing the forecast update. We show that the retailer’s wait-and-decide strategy, induced by the wholesale price contract, hinders the manufacturer’s ability to (1) set the wholesale price and maximize his profit, (2) hedge against excess inventory risk, and (3) reduce his profit uncertainty. To mitigate the adverse effect of wholesale price contract, we propose the dual purchase contract, through which the manufacturer provides a discount for orders placed before the forecast update. We characterize how and when a dual purchase contract creates strict Pareto improvement over a wholesale price contract. To do so, we establish the retailer’s optimal ordering policy and the manufacturer’s optimal pricing and production policies. We show how the dual purchase contract reduces profit variability and how it can be used as a risk hedging tool for a risk averse manufacturer. Through a numerical study, we provide additional managerial insights and show, for example, that market uncertainty is a key factor that defines when the dual purchase contract provides strict Pareto improvement over the wholesale price contract.     

The impact of decision timing on the suppliers’ interactions: simultaneous moves <Emphasis Type="Italic">versus</Emphasis> sequential moves

The last few decades have witnessed a huge growth of outsourcing in industry where the downstream firm assigns its production tasks to different upstream suppliers. This makes the supply chain structure more complicated and gives rise to some relevant operational questions. This paper focuses on a supply chain structure that consists of one assembler and two suppliers, and both suppliers’ production yields are stochastic. The assembler delegates the quantity decisions to the suppliers, and the two suppliers choose their production quantities either simultaneously or sequentially. We compare the suppliers’ equilibrium production strategies under these two scenarios. Our results show that the decision sequence can exert significant influences on the firm’s and channel’s equilibrium payoffs. At any given wholesale price, both suppliers produce more components under sequential moves than under simultaneous moves, and this results in higher payoffs for the suppliers, the assembler and the entire supply chain. The supplier’s profit increases if he can make the decision later under sequential moves. From the channel’s perspective, it is more beneficial for the supplier with a higher production cost to make the decision first. The assembler is able to extract more surplus by endogenously setting the wholesale price. However, this may make the suppliers worse off under sequential moves than under simultaneous moves.     

线性需求供应链中供应商参股制造商的定价与协调

企业之间通过相互参股组成股权联盟提升收益和竞争力来应对多变的环境成为企业股权改革的趋势。在实际管理实践中,供应链各节点企业通过参股战略以改善各自绩效从而提升供应链效率。本文考虑在线性市场需求环境下,构建了由供应商A与制造商B组成的二级供应链,供应商A对制造商B实施参股战略的供应链模型。引入Stackelberg博弈模型,分别讨论分散式与集中式情况下各节点企业的最优决策。研究表明,供应商A对制造商B参股不能消除供应链双重边际效应,基于此设计了收益共享和线性转移支付的协调契约。该契约通过调整批发价使供应商A与制造商B以任意比例分配系统利润,使供应链完美协调。     

公平偏好下基于批发价契约的供应链 协调研究

文中基于Nash讨价还价博弈思想建立公平偏好框架,构建公平偏好效用体系,以此为基础对采用批发价契约的报童模型展开行为研究,采用数理模型和数值分析方法分析了零售商和供应商的公平偏好行为对零售商和供应链系统最优订货量的影响,即零售商和供应商同时关注公平时,零售商和供应链系统的最优订货量趋于保守;并发现零售商和供应链系统的最优订货量随零售商的公平偏好程度增加而递减,但随着供应商公平偏好程度增加而递增,且供应链系统最优订货量变化趋势比零售商明显．然后,在此基础上分析比较得到,无论供应商和零售商是否偏好公平,批发价契约都不能实现供应链协调．最后,对批发价、零售价、供应商生产成本、零售商缺货成本和供应商缺货成本进行敏感度分析．     

Study on the coordination contract in supply chain under trade credit based on risk compensation

Trade credit changes the inventory risk between supplier and retailer. This leads to failure in the coordination of the supply chain. Considering that the supplier bears the retailer’s inventory risk under the credit condition, in this paper, the contract is constructed by combining the risk compensation and quantity discount contract to re-coordinate the supply chain and analyze the contract. The results show that the contract can achieve voluntary supply chain coordination; and when the seller’s funds is within a certain range, the coordinate contract can perform in the form of the wholesale price contract, and the wholesale price is influenced by its own funds and product value. In the end, a numerical example is given to verify this conclusion.     

Wholesale pricing and evolutionarily stable strategies of retailers with imperfectly observable objective

This paper develops a one-population (indirect) evolutionary game model of a supply chain with one manufacturer/supplier and many (a sufficiently large number of) retailers to study how the retailer’s marketing objective depends on the wholesale price, its observability, the error probability of the observed result on the rival’s preference, the market scale and the retailer’s bargaining power. This paper also presents an algorithm for computing the optimal wholesale price of the manufacturer. We find that the profit (revenue) maximization behavior is an evolutionarily stable marketing strategy if the wholesale price is sufficiently high (low). Given an appropriate wholesale price, the revenue maximization behavior coexists with the profit maximization behavior in the retailers’ population. The larger the market scale, the stronger the motivation of the retailer to take profit maximization behavior due to a higher wholesale price. The cross effects of the retailer’s reservation payoff and the other factors should be considered in the decision process.     

强制减排规制下基于碳减排利润增量分享契约的供应链协调研究

碳减排会增加制造商的成本,导致批发价和零售价提高,从而抑制市场需求。以此为背景,本文针对由一个制造商和一个零售商组成的供应链,研究了强制减排规制下考虑消费者低碳偏好时的供应链决策与协调。通过设计碳减排利润增量分享契约协调制造商和零售商的决策,实现帕累托改进,利用Rubinstein讨价还价模型最终确定减排利润分享比例。研究发现,实施碳减排利润分享契约能有效提高零售商的订货量,并降低批发价格;制造商的利润随着消费者低碳意识提高而提高;当净化率较低时,零售商的利润随消费者低碳意识提高而提高;当净化率较高时,零售商的利润随消费者低碳意识提高而降低;最后,论文通过数值模拟验证了碳减排利润分享契约的有效性。     

不确定需求与产出供应链回购契约决策

针对市场需求的不确定性和供应商产出产品合格率的不确定性,提出供应商产出量小于销售商订购量时需再生产满足销售商的订购,以及供应商生产过量和回购的产品通过折扣市场出售,建立以供应链期望利润为目标函数,以回购单价为决策变量的供应链回购契约决策模型.通过模型的分析,证明了模型存在最优的期望利润,给出了最优回购单价满足的方程;同时,也证明了最优订购量,最优生产量和销售商最优期望利润是回购单价的增函数.最后,通过算例验证了模型的有效性.