供应链融资结构视角下的零售商订购策略研究

本文引入供应链融资结构因素,在传统库存管理模型基础上,研究零售商在面临随机市场需求情形下考虑股权和债权等融资方式的订购策略,建立允许零售商延期支付的最优订购模型,利用最优化理论与方法得到了该模型的最优解,证明了最优解的存在性和唯一性,并分析了债权融资比例、价格成本比例系数、销售价格、订货周期、回购价格、进货价格、缺货成本、库存成本、以及融资利率等因素对最优解的影响。进一步,通过数值示例深入探讨具体市场环境下零售商的最优订购量,并进行了敏感性分析。研究发现,债权融资比例、价格成本比例系数、进货价格、订购周期、库存成本与零售商订购量存在负相关关系;缺货成本、回购价格、销售价格与零售商订购量正相关。相关研究结论可以为零售商订购行为提供科学指导,并为其库存管理提供重要决策依据。     

Joint Ordering and Pricing Strategies for Managing Substitutable Products

Starr and Rubinson (1978) develop a model to establish the relationship between product demand and relative prices. The notion of relative prices motivates us to consider a situation in which a retailer would either charge the same retail price for all products if he adopts a ‘fixed’ pricing strategy or charge different prices for different products if he adopts a ‘variable’ pricing strategy. In this paper, we develop a base model with deterministic demand that is intended to examine how a retailer should jointly determine the order quantity and the retail price of two substitutable products under the fixed and variable pricing strategies. Our analysis indicates that the optimal retail price under the variable pricing strategy is equal to the optimal retail price under the fixed pricing strategy plus or minus an adjustment term. This adjustment term depends on product substitutability and price sensitivity. We also present two different extensions of our base model. In the first extension, our analysis indicates that the underlying structure of the optimal retail price and order quantity is preserved when there is a limit on the total order quantity. The second extension deals with the issue of retail competition. Relative to the base case, we show that the underlying structure of the optimal retail price and order quantity is preserved in a duopolistic environment. Moreover, our analysis suggests that both retailers would adopt the variable pricing strategy at the equilibrium.     

基于多级折扣价格的易逝品订货策略研究

基于价格折扣条件下的报童模型,研究了分销商面向折拐的需求价格曲线.采用呈等差数列下降的多级折扣价格销售产品,以期望利润最大为目标,给出了求解最优折扣次数的算法,进而得到相应的分销商最优订货量.与需求价格曲线的斜率b不变时相比较,b增大对最优订货量无显著影响;b减小对最优订货量有显著影响.     

考虑资金收益情况下的供应链回购契约

在制造商的资金收益率大于零售商资金收益率的情况下,以报童模型为基础,研究了资金收益对回购契约的影响.系统预期利润变为与批发价相关,利用拉格朗日方程求解了满足零售商参与约束、同时使系统和制造商预期利润取得最大值的契约参数.与不考虑资金收益情况下的供应链协调不同的是:订货批量大于相应批发价下不考虑零售商参与约束的最优订货批量;若零售商的保留利润一定,则回购价增大;回购价可以大于批发价,批发价可以小于制造商的边际生产成本.     

同质时鲜产品捆绑销售的最优策略

由于时鲜产品具有十分显著的时效性,为了更快地将时鲜产品销售出去,很多零售商采用了捆绑销售的方式.研究了同质时鲜产品捆绑销售的最优策略问题,对同质时鲜产品捆绑销售的最优价格、最优临界时间以及最优数量决策问题进行了描述,并利用随机效用理论建立了MNL模型.获得了同质时鲜产品捆绑销售单变量决策的最优价格、最优临界时间和最优数量,以及相应的最大利润.进而研究了同质时鲜产品捆绑销售的双变量组合决策问题,并给出了最优双变量组合决策和条件.最后,给出了一个算例,并分析了捆绑销售中价格、数量与时间之间的关系.     

Decision Making and the Price Setting Newsvendor: Experimental Evidence

We present an experimental study of the price‐setting newsvendor problem, which extends the traditional framework by allowing the decision maker to determine both the selling price and the order quantity of a given item. We compare behavior under this model with two benchmark conditions where subjects have a single decision to make (price or quantity). We observe that subjects deviate from the theoretical benchmarks when they are tasked with a single decision. They also exhibit anchoring behavior, where their anchor is the expected demand when quantity is the decision variable and is the initial inventory level when price is the decision variable. When decision makers set quantity and price concurrently, we observe no significant difference between the normative (i.e., expected profit‐maximizing) prices and the decision makers’ price choices. Quantity decisions move further from the normative benchmarks (compared to when subjects have a single decision to make) when the ratio of cost to price is less than half. When this ratio is reversed, there is no significant difference between order levels in single‐ and multi‐task settings. In the multidecision framework, we also observe a tendency to match orders and expected demand levels, which subjects can control using prices.     

合同订购与现货市场混合交易下的双渠道供应链优化决策

为了更好地匹配需求与供应, 提高企业收益和服务水平, 本文研究了合同订购与现货市场交易结合下的双渠道供应链优化决策问题。首先分析了单纯批发价合同订购模式下的决策, 进一步考虑现货市场单向交易及双向交易的情形, 将供应链回购合同与数量柔性合同引入单向现货市场, 建立了这两类合同订购分别与现货市场补货、现货市场卖货相结合的订购模型, 以及批发价合同订购与现货市场买卖双向交易联合的决策模型。分析了不同模式下回购价格、缺货成本、补货成本、现货价格、现货价格波动及风险偏好对订购决策的影响, 并通过算例仿真, 分析了各类现货市场的使用对销售商收益的影响。结果表明, 合同订购与双向现货市场结合可以充分利用现货市场即时交易的优势, 提高供应链效益;而合同订购与单向现货市场结合, 虽然可以通过合同提高供货水平, 降低库存积压风险, 但该情形需要考虑供应商的回购或补货价格, 销售商仍有一定风险。不论单向或双向现货市场与合同订购的联合, 均可使供应链的利润优于单纯合同订购的情形。     

An Inventory Model with Planned Shortages and Price Dependent Demand

Previous research has yielded a procedure for a retailer to determine the optimal lot size and selling price when a supplier offers all-unit quantity discounts and demand is a decreasing function of price. In this paper, we extend that research by allowing for shortages. An algorithm is presented that determines the optimal lot size, order level, and selling price for a class of demand functions, including the constant price-elasticity and linear demand functions.     

Supply Chain Coordination in the Presence of Gray Markets and Strategic Consumers

The practice of diverting genuine products to unauthorized gray markets continues to challenge companies in various industries and creates intense competition for authorized channels. Recent industry surveys report that the abuse of channel incentives is a primary reason for the growth of gray market activities. Therefore, it is crucial that companies take the presence of gray markets into consideration when they design contracts to distribute products through authorized retailers. This issue has received little attention in the extensive literature on contracting and supply chain coordination. In this study, we analyze the impacts of gray markets on two classic contracts, wholesale price and quantity discount, in a supply chain with one manufacturer and one retailer when the retailer has the opportunity to sell to a domestic gray market. Our analysis provides interesting and counterintuitive results. First, a classic quantity‐discount contract that normally coordinates the supply chain can perform so poorly in the presence of a gray market that the supply chain would be better off using a wholesale price contract instead. Second, the presence of gray market can also degrade the performance of the wholesale price contract; therefore, a more sophisticated contract is needed for coordinating the supply chain. We show that contracts that solely depend on retailer's order quantity cannot coordinate the supply chain, and provide the conditions for coordinating the supply chain with price‐dependent quantity discount contracts. We also provide comparative statics and show that when there is a gray market, coordinating the supply chain enhances total consumer welfare.     

EFFECTS OF INTEGRATING ORDER/BACKORDER QUANTITY AND PRICING DECISIONS

We consider a monopolistic situation where the retailer aims to find the profit-maximizing selling price, and the order and backorder quantity of an item. The price and demand are assumed to be inversely related. We develop a simple optimal approach, the proportion-balancing algorithm (PBA), which utilizes the proportions of cost components to sales revenue. We demonstrate that the PBA can handle three commonly used demand functions. However, applicability of the PBA depends on how the price-demand relationship is specified. A sensitivity analysis shows that the effects of changes in cost parameters on the order and backorder quantities can be very different from those of the classical economic order quantity model with backorders.     

TOTAL SETUP LOT SIZING WITH QUANTITY DISCOUNTS*

Often, order quantity decisions are made by purchasers facing a price schedule of quantity discounts. Traditional solution procedures have consisted of the evaluation of total cost at numerous price-break points in search of the lowest total cost. This approach is tedious and not particularly informative, especially when one is faced with lengthy schedules. This paper presents a total setup lot-sizing model that reduces the computations required to find the least-total-cost quantity, given parameters from a supplier's price schedule. The parameters are first obtained by simple regression (graphical or computer) and in themselves can provide valuable insight for the purchaser's decision making. A total setup lot-sizing model is next developed to define a “critical interval” that contains the solution. The model and algorithm are tested under a variety of conditions. Their application offers the decision maker a convenient alternative to determine the best quantity to order from a tendered price schedule.     

Optimal ordering and pricing decisions for a target oriented newsvendor

This paper is the first to study pricing and target oriented decision making together in the newsvendor model. Specifically, this paper studies a newsvendor who decides on order quantity and selling price to maximize the probability of achieving both profit and revenue targets simultaneously. First, it is shown that the probability of a newsvendor achieving both targets depends critically on the relative magnitudes of the profit margin and the ratio between the profit target and the revenue target. Second, the closed-form expressions of the optimal order quantity, the optimal selling price, and the maximal profit and revenue probability are obtained. It is shown that if the product has greater price elasticity, the best strategy is always to price lower and order more.     

An EOQ model with deteriorating items in response to a temporary sale price

In economic order quantity models, it is often assumed that the unit purchase cost is constant. Such an assumption is usually not fulfilled in many practical situations. In practice, it is observed that suppliers sometimes offer temporary price discounts to stimulate demand, boost market share or decrease inventories of certain items. In this paper, a deteriorating inventory model with a temporary sale price has been developed. We shall be concerned with finding the optimal total cost saving for deteriorating items during the special replenishment period. Numerical examples are presented to illustrate the proposed model.     

基于价格保护策略的渠道协调

针对当今产品生命周期缩短、用户需求不确定性增强、产品价值急剧下跌的市场竞争环境,分析了实现渠道协调的价格保护策略,给出了基于单次订购二阶段价格保护额度最优策略动态模型.研究表明,通过设置合理的批发价格和价格保护补偿额度,能够导致优化的零售商订购数量,并进一步证明,该策略可以优化渠道联盟的总体绩效,而且渠道成员可以达到双赢的目的,从而实现渠道协调.     

A joint optimal pricing and order quantity model under parameter uncertainty and its practical implementation

We consider a robust optimization model of determining a joint optimal bundle of price and order quantity for a retailer in a two-stage supply chain under uncertainty of parameters in demand and purchase cost functions. Demand is modeled as a decreasing power function of product price, and unit purchase cost is modeled as a decreasing power function of order quantity and demand. While the general form of the power functions are given, it is assumed that parameters defining the two power functions involve a certain degree of uncertainty and their possible values can be characterized by ellipsoids. We show that the robust optimization problem can be transformed into an equivalent convex optimization which can be solved efficiently and effectively using interior-point methods. In addition, we propose a practical implementation of the model, where the stochastic characteristics of parameters are obtained from regression analysis on past sales and production data, and ellipsoidal representations of the parameter uncertainties are obtained based on a combined use of genetic algorithm and Monte Carlo simulation. An illustrative example is provided to demonstrate the model and its implementation.     

基于预期的报童问题研究

Koszegi与Rabin认为参照点往往由决策者的理性预期确定，本文选取报童的预期作为参照点，利用参照依赖偏好理论对报童问题进行了研究。研究发现，基于预期的报童的最优订货量不仅与货物销售的概率分布、价格等有关还与报童的损失厌恶程度有关。如果报童是损失厌恶的，报童的订货量要小于经典报童问题的订货量；反之，报童的订货量则大于经典报童问题的订货量，该结论与大部分实证结果是一致的。最后，用算例来验证了文中有关结论的正确性。     

随机需求环境下联产品系统价格与产量决策研究

基于固定比例生产技术和多产品随机需求的情形,研究了联产品制造商的两阶段产量和价格联合优化模型。通过反向倒推的优化求解,得到了联产品制造商的最优产量和价格决策以及变化规律。同时研究了需求服从均匀分布时,需求波动对均衡的影响。研究结果表明,在订货成本较低和一种产品的需求波动性较大时,当另外一种产品的波动增大,则该产品的最优订货量增大,同时价格下降。借助数值仿真,分析了价格敏感度和产出比例对最优决策和利润的影响。结果表明,在给定一种产品的价格敏感度时,另外一种的价格敏感度越大,那么该产品的价格就越低,制造商的订货量就下降。当一种产品的产出比例固定时,另一种产品的产出比例上升时,则该产品的价格下降,制造商的订货量下降,总利润上升。     

A joint optimal pricing and order quantity model under parameter uncertainty and its practical implementation

We consider a robust optimization model of determining a joint optimal bundle of price and order quantity for a retailer in a two-stage supply chain under uncertainty of parameters in demand and purchase cost functions. Demand is modeled as a decreasing power function of product price, and unit purchase cost is modeled as a decreasing power function of order quantity and demand. While the general form of the power functions are given, it is assumed that parameters defining the two power functions involve a certain degree of uncertainty and their possible values can be characterized by ellipsoids. We show that the robust optimization problem can be transformed into an equivalent convex optimization which can be solved efficiently and effectively using interior-point methods. In addition, we propose a practical implementation of the model, where the stochastic characteristics of parameters are obtained from regression analysis on past sales and production data, and ellipsoidal representations of the parameter uncertainties are obtained based on a combined use of genetic algorithm and Monte Carlo simulation. An illustrative example is provided to demonstrate the model and its implementation.     

价格敏感型供应链网络规划模型及其混合遗传算法

针对价格敏感型供应链中,供应价格与批量之间通常具有非线性的函数关系,建立了采购、需求和物流服务环节均具有价格敏感性的多供应商、多配送中心和多零售商的供应链网络规划整数非线性规划INLP模型,设计解决此NP-hard问题的混合遗传算法,以启发式算法修复进化过程中出现的非法染色体,提高算法寻优速度,通过算例及与SAS/OR模块运行结果的比较,验证该算法具有很强的稳定性和高效性。     

基于返回策略的供应链网络竞争绩效研究

针对由多个供应商和多个零售商组成的结构可变的供应链网络,分别在零售商之间基于订货量以及价格两种竞争方式下,分析了供应商均不采用返回策略、部分采用返回策略以及均采用返回策略六种情景下供应链网络的竞争绩效。研究发现当零售商基于订货量竞争时,供应商采用协调策略对于其零售商客户及供应链均为占优策略,零售商更换供应商的成本将会影响供应商的收益以及采用协调策略的积极性;当零售商之间基于价格竞争时,返回策略在一定程度上仍能够激励零售商增加订货量,且对供应链渠道的利润绩效及其稳定性均具有一定的改善作用。