单向可替代产品价格和库存的联合决策

考虑单周期问题中零售商同时销售两种可单向替代的产品,以期望利润为目标函数建立数学模型.将库存和替代价格共同作为零售商决策变量,证明其目标函数是凹函数,并得到求模型最优解的充要条件及解存在的范围.最后假设产品需求为正态分布,通过数值实验对模型的最优解进行分析,结果表明:实行最优替代价格策略可以有效提高零售商期望利润;允许替代销售不一定提高市场服务水平;被替代产品的销售价格和残值对零售商的最优替代价格决策没有显著影响.     

考虑销售策略的产品与增值性服务联合定价与协调契约研究

运用服务展开差异化竞争、增强产品竞争力已成为制造企业的战略选择.通过构建制造商和强势零售商的利润模型,研究了产品质量影响下产品与增值性服务捆绑销售的最优策略问题,对增值性服务单独及捆绑销售下的产品及增值性服务价格,产品质量的优化决策进行了分析,并进一步研究了强势零售商主导产业链背景下的产品与增值性服务协调问题.研究发现,不同销售策略下产品和增值性服务价格之和的高低与产品生产成本具有相关关系;制造商和强势零售商可以在一定范围内同时实现利润的帕累托改进;对于增值性服务成本的控制是降低产品零售价格的重要因素;协调前后强势零售商的利润变化情况与增值性服务和产品的互补性密切相关,协调契约可以提高捆绑销售下的产品和增值性服务价格,进而增加强势零售商和制造商的收益.并通过数值仿真验证了相关结论的有效性.     

政府补贴下双渠道闭环供应链回收渠道的选择研究

在以制造商为主导的双渠道供应链中,政府制造商进行补贴的前提下,分别建立了三种不同的回收模型:制造商回收、零售商回收和制造商和零售商混合竞争回收,并研究不同模型的最优决策得出结论,最后进行仿真验证.研究表明:制造商垄断回收时,供应链各成员的收益都是关于回收价格敏感系数的增函数;零售商垄断回收时,制造商和零售商的利润降低,此时整个供应链的回收量是制造商回收时的一半;竞争回收模式下,当回收价格敏感系数增大时,制造商利润减小,零售商利润增大,供应链利润先增大后减小,制造商的回收量大于零售商的回收量.在三种模型下,回收价格敏感系数较小时,制造商回收模式最优;回收价格敏感系数较大时,竞争混合回收模式最优.     

基于Backroom Effect的生鲜品零售库存决策优化

本文基于传统的Backroom Effect,考虑生鲜品零售中普遍存在的现象——仓库较之货架具有更为优越的腐损控制和保鲜能力,重新定义了仓库在保管生鲜品过程中存在的数量与保鲜方面的双重Backroom Effect。基于此,面向生鲜品零售商,研究包括仓库-货架补给决策以及订货补给的库存决策优化问题,并利用数值算例剖析了Backroom Effect下,货架与仓库存在的腐损率差异对零售商库存决策和相应利润的影响。文章的主要结论包括:生鲜零售商应在零售库存决策中充分考虑Backroom Effect的影响,借助其提高生鲜品的最优订货量,从而带来单位时间平均利润的提升;随着Backroom Effect效果的提升,零售商的最优订货量和对应的平均利润也随之增加;不同品类的生鲜品对Backroom Effect的敏感程度不同,零售商在进行仓库保鲜投资时应优先投资更易腐损且具有更高边际利润的生鲜品品种。     

考虑供应链渠道冲突的零售商自有品牌产品定价方法

自有品牌产品定价是电子商务环境下零售商实施渠道管理的关键因素,其合理与否直接影响到零售商利润和供应链稳定.鉴于此,针对存在供应链渠道冲突的零售商自有品牌定价问题,从协调的角度,利用对偶理论与优化模型,构建了基于最小协调成本的零售商自有品牌产品定价决策方法,并利用其探讨协调的经济意义,求解零售商自有品牌产品最优定价.结果表明,所构建的模型能够有效描述和解决零售商自有品牌产品定价问题,并在一定程度上消除供应链渠道冲突,保证供应商和零售商长期有效合作和供应链可持续发展.     

考虑消费者低碳偏好的可替代产品订货决策

基于产品的可替代性,考虑零售商有无能力限制两种情况,订购环境质量和价格不同的两种产品,建立利润最大化模型,确定两种产品的最优订货量和消费者低碳偏好对其的影响.理论分析表明:库存能力的提高使得订货量增大,订单数量和利润随环境质量的变化而变化;算例计算的结果验证了模型的合理性,数值分析表明:提高库存容量和订购替代率大的两种产品有利于利润的增加,当库存无容量限制时,订货量和销售商利润水平不再受容量变化的影响.     

品牌专营下供应链价格和批量联合最优决策

假定需求是价格的函数,首先研究了非品牌专营下供应链的最优价格决策和最优批量决策,然后研究了品牌专营下供应商、零售商价格和批量的最优决策.建立了供应商优先决策的Stackelberg博弈模型,通过求解得到了该博弈问题均衡解,即得到了供应商控制的品牌产品最优零售价格和零售商控制的最优订货批量.最后将该模型应用于一个实例中,比较了非品牌专营下和品牌专营下最优决策的不同和供应链利润的不同,品牌专营提高了供应链整体的利润以及供应商自身利润占整个供应链利润的比例.     

考虑捆绑销售的多产品供应链定价策略

以一个制造商向一个零售商同时销售两种互补产品的二级供应链为研究对象,研究了制造商、零售商分别采用不同捆绑策略下的供应链定价博弈问题,并对四种定价模型(分开—分开,分开—捆绑,捆绑—分开,捆绑—捆绑)进行比较分析,探讨了产品互补程度、边际利润水平与供应链利润、最优捆绑策略的关系。研究结果表明,对领导者制造商而言,采取分开定价是占优决策;对于追随者零售商而言,是否采取捆绑定价取决于产品互补程度与产品边际利润水平比值,当产品互补程度变大或者边际利润比值降低时,零售商的最优策略由捆绑策略向分开定价策略转变。     

基于碳关税和配额的再制造决策研究

在跨国闭环供应链中考虑碳关税、碳配额和碳税三种政策的影响,分别建立了出口国制造商(OEM)再制造模型和OEM授权进口国零售商进行再制造模型,得到不同模型中OEM和零售商的最优价格、最优销售量、最优利润,进一步分析了产品碳排放总量是否超过配额的不同情形下新产品碳排放量对新产品和再制造品价格、销售量的影响以及其中碳关税和碳税发挥的作用.结果表明,在配额限制下,存在碳关税、碳税以及两种政策共同约束的取值区间,当税率水平在不同区间时,新产品碳排放量对两种产品的价格、销售量有不同的影响.     

随机需求下单供应商与多零售商的生产—库存—运输联合优化模型

考虑随机需求下单供应商和多零售商的生产-库存-运输联合优化问题.在独立决策时,各零售商独立决策其最优订货量和最优订货点,供应商根据各零售商的决策来为之配送.在联合决策时,由供应商统一决策各零售商的送货量和送货时间,并基于此建立单供应商与多零售商的生产-库存-运输优化模型,利用粒子群算法和模拟退火算法相结合的两阶段算法求出最优送货量、最优运输路径和最大期望总利润.然后采用收入共享契约将增加的利润合理分配给供应商和各零售商,使各方利润都得到增加,从而促使各方愿意合作.最后,通过数值算例验证了联合优化模型优于独立决策模型.     

专利保护下再制造闭环供应链差别定价与协调研究

本文目的是研究当再制造闭环供应链系统中原制造商具专利保护以及新产品与再制造品之间存在差异情况下,闭环供应链系统成员的最优决策及系统协调机制设计问题。根据现实情形构建了再制造闭环供应链差别定价模型,利用博弈理论讨论了集中决策与分散决策情形下节点企业的最优定价策略及最优利润。研究结果表明,废旧产品的再造率和专利许可费用均对废旧产品的回收价格和回收量具有一定的影响;消费者对再制造品的接受程度会影响到供应链系统各方的最优定价策略及利润;提出的一种收益-费用分担契约协调机制,可以实现分散决策下闭环供应链系统的协调和效率优化。     

Two-phase pricing and inventory management for deteriorating and fashion goods under trade credit

This study models a finite horizon inventory problem for deteriorating and fashion goods under trade credit and partial backlogging conditions. Demand may vary with price or time. The supplier can extend credit to the retailer. As a result, the retailer does not have to pay for goods immediately upon acquiring them, and can instead earn interest on the retail price of the goods between the time they are sold and the end of the credit period. The proposed model considers two-phase pricing and inventory decisions. In other words, it determines both the optimal prices and the lengths of the in-stock and stock-out period. This paper is the first to consider different price decisions for in-stock and stock-out periods under trade credit. We develop an algorithm to determine the optimal pricing and replenishment strategy while still maximizing the total profit. Further, this study shows that the proposed two-phase pricing strategy is superior to a one-phase pricing strategy in terms of profit maximization. Computational analysis illustrates the solution procedures and the impacts of the related parameters on decisions and profits. The results of this study can serve as references for business managers or administrators.     

The impact of dynamic pricing on the economic order decision

This paper analyzes the impact of dynamic pricing on the single product economic order decision of a monopolist retailer. Items are procured from an external supplier according to the economic order quantity (EOQ) model and are sold to customers on a single market without competition following the simple monopolist pricing problem. Coordinated decision making of optimal pricing and ordering is influenced by operating costs – including ordering and inventory holding costs – and the demand rate obtained from a price response function. The retailer is allowed to vary the selling price, either in a fixed number of discrete points in time or continuously. While constant and continuous pricing have received much attention in the literature, problems with a limited number of price changes are rather rare. This paper illustrates the benefit of dynamically changing prices to achieve operational efficiency in the EOQ model, that is to trigger high demand rates when inventories are high. We provide structural properties of the optimal time instants when the price should be changed. Taking into account costs for changes in price, it provides numerical guidance on number, timing, and size of price changes during an order cycle. Numerical examples show that the benefits of dynamic pricing in an EOQ framework can be achieved with only a few price changes and that products being unprofitable under static pricing may become profitable under dynamic pricing.     

Responsive pricing under supply uncertainty

Consider a retailer orders a seasonal product from a supplier and sells the product over a selling season. While the product demand is known to be a linear function of price, the supply yield is uncertain and is distributed according to a general discrete probability distribution. This paper presents a two-stage stochastic model for analyzing two pricing policies: No Responsive Pricing and Responsive Pricing. Under the No Responsive Pricing policy, the retailer would determine the order quantity and the retail price before the supply yield is realized. Under the Responsive Pricing policy, the retailer would specify the order quantity first and then decide on the retail price after observing the realized supply yield. Therefore, the Responsive Pricing policy enables the retailer to use pricing as a response mechanism for managing uncertain supply. Our analysis suggests that the retailer would always obtain a higher expected profit under the Responsive Pricing policy. In addition to examining the impact of yield distribution and system parameters on the optimal order quantities, retail prices, and profits under these two pricing policies, we analyze two issues arising from responsive pricing. The first issue deals with the case in which the retailer can place an emergency order with an alternative source after observing the realized yield, while the second issue deals with a situation in which the retailer has to allocate his order among multiple suppliers.     

需求替代下易腐品的订货策略和定价策略研究

针对蔬菜、水果等这类在存储的过程中随时间的推移会发生大量损耗的易腐品,在激烈的市场竞争中,产品的需求不仅与本身的价格有关,而且与竞争对手产品的价格有关,零售商根据市场需求确定最优定价和订货策略以最大化自身利益,建立库存模型,证明了模型存在唯一最优策略.通过数值实验,分析得到替代程度发生变化对最优策略的影响.     

An EOQ model with stock and price sensitive demand

Many business practices show that the presence of a larger quantity of goods displayed may attract more customers than that with a smaller quantity of goods. This phenomenon implies that the demand may have a positive correlative with stock level. Under such a circumstance, a firm should seriously consider its pricing and ordering strategy since the demand for their goods may be affected by their selling prices and inventory level. This paper aims to develop a continuous inventory model for finding the strategy for a firm that sells a seasonal item over a finite planning time. The purpose of this firm is to maximize its expected profit by determining the optimal ordering quantity and price setting/changing strategy. Some sufficient conditions are found for finding the optimal decision rules.     

The effect of supply uncertainty in price-setting newsvendor models

We consider a price-setting newsvendor model in which a firm needs to make joint inventory and pricing decisions before the selling season. The supply process is uncertain such that the received quantity is the product of the order quantity and a random yield rate. Two cost structures are investigated, the in-house production case in which the firm pays for the input quantity and the procurement case in which the firm pays for the quantity received only. Our objective is to investigate the effect of yield randomness on optimal decisions and expected profit. By using the theory of stochastic comparisons, we find that under both cost structures, a less variable yield rate leads to a lower optimal price and a higher expected profit. Moreover, we show that in the in-house production case, a stochastically larger yield rate also results in a lower optimal price and a higher profit, but this is not true in the procurement case. Examples show that the effect of supply uncertainty on optimal order quantity is not universal.     

Ordering and pricing of service products in an advance sales system with price-dependent demand

This investigation addresses a service inventory control problem in which a firm orders and sells a service which will be used or consumed by customers on a specific future date. The firm sells the product through an advance booking system, aiming to optimize product price to maximize the total expected profit. Considering situations in which product demand is price-dependent and customers with reservations may cancel advance orders, this work develops a continuous-time model to simultaneously determine the order quantity and selling prices. The analytical results reveal that the optimal ordering quantity and prices are derived via closed-form solutions. In addition, sensitivity analysis of the optimal prices with respect to the system parameters is also conducted to illustrate optimal decision characteristics.     

考虑保质期的非即时易腐品最优订购与定价决策

针对有保质期约束的非即时易腐品,零售商可以在产品非腐败阶段和腐败阶段进行差异化定价来调整市场需求。即零售商可以调整产品非腐败阶段的定价策略,使得非即时易腐品在进入腐败阶段之前全部售出;或者在产品腐败阶段降低零售价格以刺激市场需求。因此,在需求依赖价格的假设下,本文研究了零售商关于有保质期约束的非即时易腐品的最优订购与定价决策。通过分析零售商单位时间利润函数的理论性质,得到了零售商的最优订购与定价策略。基于线性和指数型两种需求函数形式进行数值算例,可以发现针对保质期较长或者非腐败阶段较长的易腐品,零售商会延长订货周期来增加销售收入。特别是在指数型需求函数情境下,当市场需求与零售价格高度相关时,零售商更有意愿降价来刺激销量,从而使得易腐品在非腐败阶段内销售完毕。     

退款保证对竞争供应链的影响:基于顾客退货行为视角

为研究退款保证对竞争供应链的影响,从顾客退货行为视角构建消费者效用函数,建立竞争制造商与在线零售商之间的博弈模型,分析退款保证对供应链均衡的影响。研究发现:高质量产品的批发价格和零售价格总是更高,但高质量产品制造商可能并不能获得更多利润;退款保证会影响消费者的产品购买选择,对低质量产品需求有利。然而,从利润最大化的角度,在线零售商只有在退货损失足够低时,才会有动机提供退款保证,而退款保证对制造商利润的影响取决于退货产品残值。