Potentially self-defeating: Group buying in a two-tier supply chain

Retailers have an incentive to cooperate in the form of group buying (GB) when a supplier provides quantity discounts, because wholesale price under GB depends on total purchasing quantity rather than individual purchasing (IP) quantity. Most previous studies on GB focus on the benefits that buyers get but ignore the supplier׳s response to GB. In this paper, we take the supplier׳s response into consideration, and present a game model with a single supplier and two symmetric competing retailers in two systems: the retailers purchase individually, and the retailers group buy. Under a general quantity discount schedule, each system has a unique sub-game perfect equilibrium. The comparison between IP and GB suggests that GB may sabotage the benefits of all members in the supply chain (i.e., the supplier, the retailers, and the consumer). Retailers may hold contradictory attitudes toward GB before and after the publishing of the discount schedule. These insights are shown to be robust for the case when more than two retailers are involved, as well as the case when the supplier enjoys economies of scale based on the order volume. We suggest that a mixed discount schedule may help prevent the potential damage of GB. In addition, with significant economies of scale, the supplier and retailers may be better off under GB. Then GB can be a favorable purchasing strategy.     

An EOQ model with partial delayed payment and partial backordering

In many transactions concerning selling and buying, a specified delay of payment is offered or accepted by the seller. This can be regarded as a kind of discount and has potential consequences for the order size. These kinds of effects are not explicitly incorporated in the classical formulas for economic order quantities (EOQ). In this research we consider an EOQ problem under partial delayed payment. A fraction of the purchasing cost must be paid at the beginning of the period and the remaining amount can be paid later. Shortages are permitted and occur as a combination of backorders and lost sales. The aim of this paper is to determine the order and shortage quantities.     

Controlling Power Retailer's Gray Activities Through Contract Design

We develop a model that captures dynamic relationships of a supply chain populated by a dominant retailer and a number of fringe retailers. The two types of retailers are asymmetric in buying power, retailing cost, and the ability to service the manufacturer's product. The wholesale prices offered through a quantity discount (QD) schedule can coordinate such a supply chain, but invite channel flow diversion type of gray trading between the dominant retailer and the fringe retailers. Our analysis is focused on how such a channel can be coordinated and the gray market activities be prevented. We propose a dynamic QD contract or a revenue‐sharing contract that the manufacturer can use to fight the gray market activity. The performance of the supply chain and the manufacturer's profit under each of the two contract forms are compared and managerial guidelines are provided to help the manufacturer make a judicious choice.     

模糊环境下考虑缺货和延期支付的Stackelberg均衡策略

在具有价格弹性需求的两层供应链系统中,考虑到价格弹性指数的模糊性和供应链延期支付策略,建立了含缺货的制造商-零售商协调模型.运用符号距离反模糊化方法将其转化为确定模型.基于遗传算法,设计了其求解方法,获得了制造商最优信用期和零售商最优零售价.数值结果表明:模糊环境下的延期支付策略降低了产品的市场零售价,同时增加了供应链中各成员的利润,因此实现了供应链协调.进一步分析显示当模糊价格弹性指数的上(下)界变化反映出的不确定性减弱时,制造商提供更长的信用期,且制造商和零售商的利润均增加(减少).     

广义ATO下基于多种团购模型的供应链协调

针对由多个供应商、单个制造商和零售商所组成的广义按订单装配式供应链，在上游多个供应商不确定的零部件（或商品）供应以及下游客户不确定的需求的环境下，首先分析基本模型中团购前后的零售商和制造商的利润变化，然后提出了团购的标准模型和协调模型，并比较三种不同的团购模型对各成员以及全局供应链绩效的影响。通过数学推导证明和仿真数据算例分析，结果表明：零售商自发的团购基本模型总是对制造商有利，而对零售商的好处是有限的；由制造商主导的团购标准模型在满足一定条件时是优于团购基本模型的，但有使得零售商甚至制造商自身受到损失的可能；而集中决策下的团购协调模型能够提升全局供应链的期望利润，实现渠道的帕累托改善，但协调的效果会受到团购客户组成结构的限制。     

Advance Selling by a Newsvendor Retailer

Retailers often face a newsvendor problem. Advance selling helps retailers to reduce demand uncertainty. Consumers, however, may prefer not to purchase in advance unless given a discount because they are uncertain about their valuation for the product in advance. It is then unclear whether or when advance selling to pass some uncertainty risk to consumers is optimal for the retailer. This paper examines the advance selling price and inventory decisions in a two‐period setting, where the first period is the advance selling period and the second is the selling (and consumption) period. We find that an advance selling strategy is not always optimal, but is contingent on parameters of the market (e.g., market potential and uncertainty) and the consumers (e.g., valuation, risk aversion, and heterogeneity). For example, we find that retailers should sell in advance if the consumers' expected valuation exceeds consumers' expected surplus when not buying early by a certain threshold. This threshold increases with the degree of risk aversion but decreases with stock out risk. If the degree of risk aversion varies across consumers, then a retailer should sell in advance if the probability for a consumer to spot buy is less than a critical fractile.     

重要股东市场行为引导下的利益趋同与壕沟防守效应

重要股东的市场行为不仅会对股价造成直接影响,还因其影响公司成长、与其他投资者的利益相冲突而倍受证券理论与实务界的关注。本文以存在增减持行为的A股上市公司为样本,按主成分分析法构建成长性指标,通过对重要股东增减持股票与公司成长性间的多元回归分析,研究其市场行为在多因素综合影响下对利益趋同与壕沟防守效应的催化作用。实证结论显示:重要股东增持总会强化利益趋同、减持强化壕沟防守;第一大股东持股比例越多,壕沟防守效应越明显,前十大股东持股比例越多,利益趋同效应越明显,体现了股权制衡与股权控制的平衡关系。     

Joint pricing and ordering policy for a deteriorating inventory with partial backlogging

In this paper, a deterministic inventory model for deteriorating items with time-dependent backlogging rate is developed. The demand and deterioration rate are known, continuous, and differentiable function of price and time, respectively. Under these general assumptions, we first prove that the optimal replenishment schedule not only exists but is unique, for any given selling price. Next, we show that the total profit is a concave function of price when the replenishment schedule is given. We then provide a simple algorithm to find the optimal selling price and replenishment schedule for the proposed model. Finally, we use a numerical example to illustrate the algorithm.     

Production and pricing problems in make-to-order supply chain with cap-and-trade regulation

This paper studies the production and pricing problems in MTO (make-to-order) supply chain containing an upstream manufacturer who produces two products based on MTO production and a downstream retailer. The manufacturer is regulated by cap-and-trade regulation and determines the wholesale prices of the two products. To comply with the regulation, the manufacturer can buy or sell emission permits through an outside market. The retailer determines its order quantities to meet the price-sensitive demands. We derive the optimal total emissions and production quantities of the two products, and based on them, we analyze the impact of emission trading price on the optimal production decisions and the two firms’ optimal profits. The emission trading decisions follow a two-threshold policy and the optimal total emissions are increasing in the cap. However, contrary to intuition, the optimal production quantities of the two products may be decreasing in the cap. The manufacturer׳s optimal profit is decreasing (increasing) in the buying (selling) price of emission permits, and that the retailer׳s optimal profit is decreasing in the buying (selling) price of emission permits. The optimal total emissions are decreasing in buying or selling price of emission permits, however, the optimal production quantities of the two products may be increasing (decreasing) in the buying (selling) price of emission permits. Numerical examples are conducted to illustrate our findings and some managerial insights are presented.     

考虑消费者细分的网购拼单机制研究

本文提供理论模型分析网购拼单机制分别给销售者和消费者带来的影响，为销售者（消费者）的抉择提供参考。研究结果显示，当拼单价格和正常价格均很低时，销售者（消费者）无动机实施（参与）拼单机制。但随着正常价格的提高，拼单机制的营利能力（消费者剩余）会不断增大，进而激励销售者（消费者）实施（参与）拼单机制，并有会将低估价类型消费者驱逐出市场。这一结果从另一个方面反映了拼单机制的最终目标不是为了迎合低估价类型的消费者，而是为了吸引高估价类型的消费者参与交易。进一步地，在拼单机制有效实施的情形下，最优拼单数量、最优期望收益均与两种类型消费者估值比例密切相关。所以，在实施拼单机制过程中，应该有意识地对消费者进行细分，并挖掘不同类型消费者的私人信息，从而制定有效的拼单策略。     

Group Buying of Competing Retailers

Under group buying, quantity discounts are offered based on the buyers' aggregated purchasing quantity, instead of individual quantities. As the price decreases with the total quantity, buyers receive lower prices than they otherwise would be able to obtain individually. Previous studies on group buying focus on the benefit buyers receive in reduced acquisition costs or enhanced bargaining power. In this paper, we show that buyers can instead get hurt from such cooperation. Specifically, we consider a two‐level distribution channel with a single manufacturer and two retailers who compete for end customers. We show that, under linear demand curves, group buying is always preferable for symmetric (i.e., identical) retailers. For asymmetric retailers (i.e., differing in market base and/or efficiency), group buying is beneficial to the smaller (or less efficient) player. However, it can be detrimental to the larger (or more efficient) one. Despite the lower wholesale price under group buying, the manufacturer can receive a higher revenue. Interestingly, group buying is more likely to form when retailers are competitive in different dimensions. These insights are shown to be robust under general nonlinear demand curves, except for constant elastic demand with low demand elasticity.     

具有线性交易成本的耐用性设备在线租赁策略分析

在设备寿命周期内,购买和使用结束后出售旧设备需要支付交易成本,交易成本与设备价格具有线性关系。分析显示:对于具有线性交易成本的耐用性设备在线租赁问题,如果不考虑在设备使用结束后出售旧设备的残值以降低成本,从租赁模式转换到购买模式的在线策略的转换时机,总是晚于考虑在设备使用结束后出售旧设备的在线策略;如果不考虑购买和使用后出售的交易成本,在线策略名义上的竞争比小于实际竞争比。     

两零售商竞争下多因素同时扰动的供应链协调研究

本文研究了由一个制造商两个竞争零售商组成的供应链在百川德博弈下,生产成本、市场需求和价格敏感系数同时扰动的协调机制,考虑了线性数量折扣契约对供应链的协调作用。研究表明,当三因素同时发生扰动后, 集权式供应链中线性数量折扣契约可以协调供应链,而在分散式供应链中,原来的协调契约不具有鲁棒性,制造商只有采用新的线性数量折扣契约,分散式供应链才能实现协调。 最后用一个算例验证了结论。     

考虑战略顾客行为时的供应链性能分析与协调

动态定价策略的广泛应用使得越来越多的顾客具有了战略性,战略顾客会根据产品在销售期内的价格路径确定最优购买时机,零售商则根据顾客的购买行为确定订货数量和销售价格.研究了双方静态博弈时的理性预期均衡解和零售商进行数量承诺时的情形.研究表明:理性预期均衡时的最优销售价格、最优存货数量和最优期望利润分别小于标准报童模型的情形;数量承诺时的最优存货数量小于理性预期均衡时的最优存货数量;最优期望利润则大于理性预期均衡时的最优期望利润,并且在一定条件下可能会大于标准报童模型的最优期望利润,战略顾客行为的存在对零售商可能有利.最后分析了在分散式供应链中如何利用收入分享契约和数量折扣契约实现供应链协调.     

Pre‐Orders for New To‐be‐Released Products Considering Consumer Loss Aversion

Advance selling through pre‐orders is a strategy to transfer inventory risk from a retailer to consumers. A newsvendor retailer can have three strategies to choose from: no advance selling allowed (NAS), moderate advance selling with a moderate discount for pre‐orders (MAS), and deep advance selling with a deep discount for pre‐orders (DAS). This research studies how a retailer could design an advance selling strategy to maximize her own profits. We find some interesting results. For example, there exist two thresholds for the selling season profit margin and two thresholds for consumer's expected valuation. For products with higher profit margin than the high threshold on profit margin, a retailer should always use DAS. For products with medium profit margin within the two thresholds, a retailer should adopt MAS if consumer's expected valuation is lower than the high threshold and use DAS otherwise. For products with lower profit margin than the low threshold, a retailer should use NAS, DAS, or MAS, respectively, if consumer's expected valuation is lower than the low threshold, higher than the high threshold, or between the two thresholds, respectively. Through sensitivity analyses, we also show the effects of multiple consumer characteristics on a retailer's optimal advance selling strategy.     

灰色营销的道德评价:调查与检验

本文讨论了推销中的灰色营销现象,建立了一个灰色营销模型,并采用实证方法对这一现象和相关因素之间的关系进行了初步研究,最后讨论了研究结果的应用。     

具有两阶段生产模式和需求信息更新的供应链契约研究

针对二级供应链,在基于Stackelberg博弈的批发价契约中,分析了折扣价格与零售商最优提前订购量的关系及对契约双方期望收益的影响;设计了价格折扣与回购联合的协调契约,分析了供应链系统的最优提前生产量、供应链协调条件及协调契约下制造商和零售商的期望收益变化,并在协调契约不满足制造商的个体理性约束时,提出采用不对称Nash谈判模型设计两阶段生产与订购的回购契约,在保证供应链系统整体绩效最优的条件下,使制造商和零售商利润都能得到满意增长。研究表明,三级供应链实行两阶段订购的必要条件是分销商与零售商的最优提前订购量相等,与二级供应链相比,价格折扣契约下三级供应链效率更低,但价格折扣与回购联合的契约同样能协调三级供应链,该协调契约满足零售商与分销商激励相容约束。     

不同线上销售模式的产品定价策略研究

现售和预售是线上销售的主要模式。考虑不同模式下消费者对产品估值的差异，分析现售、预售和混合销售（同时开展现售和预售）三种模式下消费者购买决策过程，构建Stackelberg博弈和Nash均衡模型，得到三种模式的产品均衡定价及需求，并探讨开展不同销售模式对应的消费者估值差异阈值以及不同主导结构对供应链企业绩效的影响。结果表明：任意主导结构下，销售模式只会影响现售产品价格，对预售产品定价没有影响；任意销售模式下，制造商主导结构的产品定价和批发价更高，但产品销售量较低；消费者延迟收货敏感度增强使预售模式的供应链成员企业的利润降低，但混合销售模式可以有效防止由此引起的损失，且制造商主导可以同时实现供应链成员企业的利益最大化。     

Using Contingent Markdown with Reservation to Profit from Strategic Consumer Behavior

We examine a contingent price markdown (CM) mechanism with guaranteed reservation under which a retailer sells multiple units to forward‐looking consumers who arrive over time according to a Poisson process. During the early part of the selling season, each arriving consumer can either purchase a unit by paying the regular price or reserve a unit at the discount price. Reserved units can only be claimed later when the number of guaranteed reservations meets a pre‐specified threshold, or at the end of the selling season, whichever comes first. Immediately after the number of guaranteed reservations meets the pre‐specified threshold, the retailer will reduce its selling price to the discount price so that all subsequent arriving consumers can take immediate possession by paying the low price. We study the consumer purchasing behavior in equilibrium when the retailer adopts such a selling mechanism, and compare the performance of our mechanism against two benchmarks: fixed price (FP) and pre‐announced discount (PD). Through an extensive numerical analysis, we identify market conditions under which CM dominates both FP and PD in terms of the retailer's revenue and consumer's surplus. Finally, through a fluid approximation to the stochastic model, we simplify the computation of the equilibrium strategy and the optimal revenues, and verify that the key insights obtained from the stochastic model still hold.     

The freight allocation problem with all-units quantity-based discount: A heuristic algorithm

This paper studies a problem encountered by a buying office for one of the largest retail distributors in the world. An important task for the buying office is to plan the distribution of goods from Asia to various destinations across Europe. The goods are transported along shipping lanes by shipping companies, which offer different discount rates depending on the freight quantity. To increase the reliability of transportation, the shipper imposes a quantity limit on each shipping company on each shipping lane. To guarantee a minimum business volume, each shipping company requests a minimum total freight quantity over all lanes if it is contracted. The task involves allocating projected demand of each shipping lane to shipping companies subject to the above conditions such that the total cost is minimized.Existing work on this and related problems employs commercial linear programming software to solve their models. However, since the problem is NP−hard in the strong sense, it is unlikely to be solvable optimally in reasonable time for large cases. Hence, we propose the first heuristic-based algorithm for the problem, which combines a filter-and-fan search scheme with a tabu search mechanism. Experiments on randomly generated test instances show that as the size of the problem increases, our algorithm produces superior solutions in less time compared to a leading mixed-integer programming solver.