按比例保修策略下多保修期差别定价研究

保修策略是联系厂商和顾客的一种合同责任,它往往用于促进产品的销售。产品保修期长短与其定价有着紧密的联系。本文在考虑一个厂商采用按比例保修策略及设定多个保修期的基础上,以产品的保修期和价格为决策变量,以厂商收益最大化为目标,研究了产品故障次数成指数分布下最优保修期和价格的组合策略,并通过算例比较了差别定价和单一定价下厂商的收益。最后,通过灵敏度分析,研究了消费者保修期偏移弹性对厂商收益所产生的影响。     

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.     

回收率依赖价格的再制造EPQ模型研究

研究了考虑回收率依赖于回收品价格,并带有废弃处理的制造和再制造混合系统的(1,R)和(M,1)EPQ模型.在模型中,采用新产品的制造和回收产品的再制造两种方式来满足客户的需要,回收产品部分用于再制造,其余作为废弃处理;总平均成本包括与回收产品、可销售产品有关的库存持有成本,与制造和再制造有关的生产成本和固定成本,与回收品及制造所需原材料的采购成本以及废弃处理成本.模型给出最优生产策略及总平均成本的表达式.算例验证了所建模型的计算方法,并分析了新引人决策变量p(回收产品单价占制造新产品所需原料价格的比例对总平均成本的变化率的影响.     

考虑盗版容忍度的软件产品动态定价模型

基于收益管理理论,对产品瞬态扩散模型进行拓展,选择盗版容忍度、价格和创新改进作为控制变量,扩散速度和创新水平作为状态变量,构建收益最大化的动态定价模型,依据最优化控制理论,建立哈密尔顿方程进行求解,探讨了三个控制变量的联合优化策略和相关特性,通过算例仿真验证其结论。结论显示:应采取撇脂定价策略;当由盗版引起边际收益增加的价值量与损失价值相等时,盗版容忍度达到最优;与产品生命周期的成长阶段相比较,在成熟阶段,应逐渐增加盗版容忍度,同时,减缓创新改进的速度;当损失结构降低时,应提高盗版容忍度,并且可采用创新与保护监管相互互补的策略。动态建模能够拓展静态模型中关于网络外部性的概念,分析连续状态下的变量,与自适应学习机制相一致,对实践具有更好的借鉴作用。     

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.     

制造商主导的供应链产品绿色度与定价协调

针对需求信息不对称下制造商主导型供应链中产品绿色度与定价协调决策问题,分析了产品绿色度与产品销售价格、批发价格及市场需求间的关系,运用收益共享契约原理,建立了以收益共享系数为变量的零售商产品销售价格函数和利润函数以及制造商产品绿色度函数、批发价格函数和利润函数,运用不对称Nash协商原理,进一步构建了在制造商谈判能力给定条件下的收益共享系数优化模型,并通过数值仿真分析验证了需求信息不对称下供应链产品绿色度与定价协调优化结果.研究表明:供应链产品绿色度和定价协调优化不仅有助于制造商和零售商实现共赢,而且有助于制造商为客户提供更好的绿色产品.制造商的谈判能力越强,产品最优绿色度越高,而最优收益共享系数和产品的批发/销售价格则越小.此外,客户对产品绿色度的敏感系数与制造商谈判能力系数的共同升高将会加快最优收益共享系数的降低.研究结论可为制造商产品绿色度和绿色供应链协调决策提供有益的参考.     

两阶段再制造企业的产品定价研究

二手产品的回收再处理是众多制造商和再制造商不得不面对的问题.企业根据实际情况,考虑到顾客对再制造产品的认知差异,一般都是先翻新产品然后再升级再制造产品,因此,顾客对再制造产品的接受程度影响着再制造企业的定价决策,针对该问题构建了一个两阶段模型,其中第一阶段再制造企业将回收的产品进行简单翻新并投放市场;第二阶段,则会将产品拆卸加工再升级.以两阶段的价格作为决策变量分析再制造企业的最优生产策略.通过仿真得出结论,为再制造企业的生产决策提供一些依据.     

考虑消费者从众特性的动态定价研究

面对掌握大量信息的消费者,厂商需考虑多方因素制定价格策略。研究运用经典的博弈模型,讨论不同消费者特性情况下厂商的定价机制。模型按从众特性和等待特性将消费者分为六类,并引入一个价格偏差变量,分析各类型消费者比例变化对厂商定价和利润的影响。结果显示,一般情况下降价幅度、消费者期望购买总数量和期望销售利润都随着反从众消费者比例的增大而增加。最后扩展分析了效益贴现率,反从众消费者比例和短视型消费者比例三因素对厂商总利润的影响,研究认为效益贴现率和从众消费者比例较高时,厂商利润会随着短视型消费者比例的降低而有所提高。因此,为使收益最大化,厂商在制定定价策略时需同时考虑贴现因素和消费者行为特性。     

交货期敏感信息不对称下电子零售商的渠道决策

在顾客对产品的交货期敏感及敏感度信息私有的背景下,研究一个拥有网络零售平台电子零售商的一个产品渠道决策——自营(又称自主销售)或开放平台(又称外租平台给制造商直销)。求解了电子零售商自营时差别定价和统一定价策略下的最优激励策略(价格与交货期的设定),并分析了开放平台时收益分享比例对制造商定价及交货期策略的影响。通过比较自营和开放平台时电子零售商的最大收益,给出电子零售商最优的渠道决策流程图。研究结果表明,当产品采购成本高时,电子零售商将采取自营;当采购成本低且收益分享比例低时,电子零售商将开放平台。最后,借助数值实验分析了顾客类型和私有的延迟成本率对渠道决策的影响。     

两期环境下闭环供应链的销售渠道选择策略

针对DI(电子渠道直销新产品及通过零售商分销再制造产品)、ID(分销新产品与直销再制造产品)和DD(同时直销新产品与再制造产品)的三种销售模式,分别建立两周期闭环供应链博弈(优化)模型探讨了成员的最优定价策略、回收率与利润分配问题,并通过理论推导和数值算例将电子渠道中的消费者附加成本对三种模式均衡解与利润的影响进行了分析,研究结果表明:1)当电子渠道的附加成本为零时,DD模式是制造商与系统的最优选择,其次是DI模式,最后是ID模式;而从零售商与环境绩效的角度则是ID模式最优.2)当电子渠道的附加成本非零时,三种模式均可能成为制造商与闭环供应链系统的最优选择,但DI模式永不会成为最劣选择;三种模式下零售商收益均随附加成本的增加而得到改善,且零售商仍愿意选择ID模式.     

Optimal warranties,reliabilities and prices for durable goods in an oligopoly

This paper addresses the problem of durable goods manufacturers in an oligopoly seeking optimal values for three decision variables: product warranty, reliability and price. Each firm seeks a warranty-reliability-price combination that maximizes expected profit subject to quite general constraints on the firm's decision variables. Warranty serves as a signal of product reliability, which is not observable by consumers. We present a game-theoretic model of warranty-reliability-price competition in such a market and examine Nash equilibria for this game. We show that under fairly general assumptions each firm can optimally set its warranty and reliability independently of price and competitors' actions. In addition, we show that optimal warranties and reliabilities are complementary, and we explore the impact of different market factors on the optimal warranty and reliability. Finally, we show that optimal warranties are longer and products more reliable when consumers are risk averse.     

基于视情维修的质保政策设计研究

随着产品同质化程度不断提升,完善的质保服务已成为厂商提升品牌形象、刺激用户购买需求和全面反馈市场信息的主要途径。本文以具有退化特性的耐用品为研究对象,建立了视情维修条件下性能退化的维纳过程模型,考虑产品价格、质保期长度和维修费用承担比例对产品需求的影响,以最大化厂商利润为目标,确定了最优的质保期长度和维修费用承担比例。结合算例,比较了无视情维修和提供视情维修两种情形下对应的厂商利润,并分析了产品退化速率、成本参数和产品价格对利润的影响。研究结果表明,在质保服务范围内提供合理的视情维修服务既可将产品可靠性维持在一个较高水平,又可显著提升厂商利润。     

Modeling and analysis of a warranty policy using new and reconditioned parts

Remanufacturing processes such as refurbishing and reconditioning can extend the life of a product returned from the field. This provides financial opportunities and allows manufacturers to engage in sustainable practices. However, the inability to access a sufficient quantity of reconditioned components from end‐of‐life products can force the concurrent utilization of new components. This paper deals with the determination of an optimal warranty policy where a mixture of new and reconditioned components are used to carry out replacements upon failure for products under warranty. A mathematical optimization model is developed to maximize the manufacturer's expected total profit based on four decision variables: the warranty length, the sale price, the age of reconditioned components, and the proportion of reconditioned components to be used. A numerical procedure is used to compute the optimal solution. Numerical results are provided and discussed to demonstrate the validity and the added value of the proposed approach. Copyright © 2016 John Wiley & Sons, Ltd.     

Optimal maintenance strategy under renewable warranty with repair time threshold

In this paper, we consider a periodic preventive maintenance model, from the manufacturer's perspective, which can be implemented to reduce the maintenance cost of a repairable product during a given warranty period. The product is assumed to deteriorate with age and the warranty policy we adopt in this paper takes into account the two factors of failure time and repair time of the product when the product failure occurs. Under the proposed two-factor warranty, a repair time threshold is pre-determined and if the repair takes more time than that of the threshold, the failed product is replaced with a renewed warranty policy. Otherwise, the product is only minimally repaired to return to the operating state. During such a renewable warranty period, preventive maintenance is conducted to reduce the rate of degradation periodically while the product is in operation. By assuming certain cost structures, we formulate the expected warranty cost during the warranty period from the manufacturer's perspective when a periodic preventive maintenance strategy is adapted. Although more frequent preventive maintenance increases the warranty cost, the chance of product failures would be reduced. The main aim of this paper is to accomplish the optimal trade-off between the warranty cost and the preventive maintenance period by determining the optimal preventive maintenance period that minimizes the total expected warranty cost during the warranty period. Assuming the power law process for the product failures, we illustrate our proposed maintenance model numerically and study the impact of relevant parameters on the optimal preventive maintenance policy.     

Dynamic pricing and warranty policies for products with fixed lifetime

We consider a repairable product with known market entry and departure times. A warranty policy is offered with product purchase, under which a customer can have a failed item repaired free of charge in the warranty period. It is assumed that customers are heterogeneous in their risk attitudes toward uncertain repair costs incurred after the warranty expires. The objective is to determine a joint dynamic pricing and warranty policy for the lifetime of the product, which maximizes the manufacturer’s expected profit. In the first part of the analysis, we consider a linearly decreasing price function and a constant warranty length. We first study customers’ purchase patterns under several different pricing strategies by the manufacturer and then discuss the optimal pricing and warranty strategy. In the second part, we assume that the warranty length can be altered once during the product lifetime in developing a joint pricing and warranty policy. Numerical studies show that a dynamic warranty policy can significantly outperform a fixed-length warranty policy.     

A general age-replacement model with minimal repair under renewing free-replacement warranty

A general age-replacement model in which incorporates minimal repair, planned and unplanned replacement, is considered in this paper for products under a renewing free-replacement warranty policy. For both warranted and non-warranted products, cost models from the user’s perspective are developed, and the corresponding optimal replacement ages are derived such that the long-run expected cost rate is minimized. The impacts of a product warranty on the optimal replacement model are investigated analytically. Furthermore, we show that the optimal replacement age for a warranted product is closer to the end of the warranty period than for a non-warranted product. Finally, numerical examples are given for illustration.     

一种电子商务环境下耐用品的动态定价模型与策略

针对电子商务环境下消费者对价格歧视的抗拒问题,以及耐用品生命周期长、产品需求依赖于时间、价格等特点,提出了一种动态定价模型与策略。该模型通过构造转移概率矩阵,推导出在线消费者浏览到耐用品的不同价格状态下的概率,接着根据消费者多阶段效用函数分析消费者的购买决策行为,进而给出零售商利润达到最大化时的最优定价策略集合。为了验证模型与策略的有效性,通过数值模拟实验,分析模型主要参数变化对最优定价策略的影响。研究发现当效用折扣因子越高,零售商应该降低促销频率和高价格并且提高低价格,从而诱导高端消费者在高价格购买产品。折扣效用因子大小还决定了网上零售商是否要隐藏自己的促销概率。     

Maintenance optimization for second‐hand products following periodic imperfect preventive maintenance warranty period

The maintenance policy for a product's life cycle differs for second‐hand and new products. Although several maintenance policies for second‐hand products exist in the literature, they are rarely investigated with reference to periodic inspection and preventive maintenance action during the warranty period. In this research, we study an optimal post‐warranty maintenance policy for a second‐hand product, which was purchased at age x with a fixed‐length warranty period. During the warranty period, the product is periodically inspected and maintained preventively at a prorated cost borne by the user, while any product failure is only minimally repaired by the dealer. After the warranty expires, the product is self‐maintained by the user for a fixed‐length maintenance period and the costs incurred during this time are fully borne by the user. At the end of the maintenance period, the product is replaced with a product of the user's choice. This study is focused on the determination of an optimal length for the maintenance period after the warranty expiration. As a criterion for the optimality, we adopt the long‐run mean cost during the second‐hand product's life cycle from the user's perspective. Finally, our results are analyzed numerically for sensitive analysis of several relevant factors, assuming that the failure distribution follows a Weibull distribution.     

考虑更新延长两阶段保修的二手产品维修策略优化

针对二手产品的维修问题,给出了二手产品生命周期的定义,提出了考虑更新延长两阶段保修的维修策略模型。该策略综合考虑了产品的年龄变化、延保折扣、小修和生产损失费用等因素,从顾客的角度出发,建立以顾客期望总费用率最小化为目标的免费更换保修和按比例更换保修两种策略模型,并给出模型最优化的相关理论证明。算例研究验证了模型的有效性,并对参数的灵敏度进行了分析,文中结论可为顾客进行产品维修计划提供决策依据。