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A Co‐Opetitive game analysis of platform compatibility strategies under add‐on services 附加服务下平台兼容性策略的竞争博弈分析
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-08-23 DOI: 10.1111/poms.14049
Yanjie Liang, Weihua Liu, Kevin W. Li, Chuanwen Dong, Ming K. Lim
Large‐scale platforms (LSPs) with valuation and awareness advantages have enabled competing small‐scale platforms (SSPs) to be embedded in their platforms. This compatibility strategy creates a new channel, that is, the compatible channel, through which customers can purchase services from SSPs via the LSPs. Additionally, numerous platforms have been introducing add‐on services to enhance their profitability. In this study, we develop stylized game models to characterize the interaction between an LSP and an SSP and explore their strategic and operational decisions on platform compatibility under add‐on services. Our major research findings are as follows: First, compatibility has opposite impacts on service pricing. That is, at a low proportion of demand through the compatible channel, the two platforms engage in a price war; otherwise, they both raise prices. Second, we identify the conditions for platform compatibility: compatibility becomes an equilibrium strategy if the proportion of demand through the compatible channel falls within an intermediate range. Third, we find that homogeneous add‐on services stimulate rather than inhibit compatibility due to different profit foci of two platforms. Finally, we conduct extensions to further verify the robustness of the conclusions. Our results provide important implications to the burgeoning debate on when platforms should implement compatibility to achieve a win‐win scenario under a variety of settings.This article is protected by copyright. All rights reserved
具有估值和知名度优势的大型平台(LSP)使相互竞争的小型平台(SSP)能够嵌入其平台中。这种兼容性策略创建了一个新的渠道,即兼容渠道,客户可以通过该渠道通过LSP从SSP购买服务。此外,许多平台一直在引入附加服务,以提高其盈利能力。在这项研究中,我们开发了风格化的游戏模型,以描述LSP和SSP之间的互动,并探讨他们在附加服务下对平台兼容性的战略和运营决策。我们的主要研究结果如下:首先,兼容性对服务定价有相反的影响。也就是说,在通过兼容渠道的低比例需求下,这两个平台陷入了价格战;否则,它们都会提高价格。其次,我们确定了平台兼容性的条件:如果通过兼容渠道的需求比例处于中间范围内,则兼容性成为一种平衡策略。第三,我们发现,由于两个平台的利润焦点不同,同质的附加服务刺激而不是抑制兼容性。最后,我们进行了扩展,以进一步验证结论的稳健性。我们的研究结果为关于平台何时应该实现兼容性以在各种环境下实现双赢的争论提供了重要启示。这篇文章受版权保护。保留所有权利
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引用次数: 0
Optimal capacity sizing of park‐and‐ride lots with information‐aware commuters 具有信息感知通勤者的停车换乘停车场的最优容量大小
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-08-22 DOI: 10.1111/poms.14053
Xinchang Wang, Qie He
We study capacity sizing of park‐and‐ride lots that offer services to commuters sensitive to congestion and parking availability information. The goal is to determine parking lot capacities that maximize the total social welfare for commuters whose parking lot choices are predicted using the multinomial logit model. We formulate the problem as a non‐convex nonlinear program that involves a lower and an upper bound on each lot's capacity, and a fixed‐point constraint reflecting the effects of parking information and congestion on commuters' lot choices. We show that except for at most one lot, the optimal capacity of each lot takes one of three possible values. Based on analytical results, we develop a one‐variable search algorithm to solve the model. We learn from numerical results that the optimal capacity of a lot with a high intrinsic utility tends to be equal to the upper bound. By contrast, a lot with a low or moderate‐sized intrinsic utility tends to attain an optimal capacity on its effective lower bound. We evaluate the performance of the optimal solution under different choice scenarios of commuters who are shared with real‐time parking information. We learn that commuters are better off in an average choice scenario when both the effects of parking information and congestion are considered in the model than when either effect is ignored from the model.This article is protected by copyright. All rights reserved
我们研究了为对拥堵和停车位可用性信息敏感的通勤者提供服务的停车换乘停车场的容量大小。目标是为使用多项logit模型预测停车场选择的通勤者确定最大社会总福利的停车场容量。我们将该问题表述为一个非凸非线性规划,该规划涉及每个车位容量的下界和上界,以及反映停车信息和拥堵对通勤者车位选择影响的定点约束。我们表明,除了最多一个批次外,每个批次的最优容量取三个可能值中的一个。基于分析结果,我们开发了一种单变量搜索算法来求解模型。我们从数值结果中得知,具有高内在效用的大量的最优容量趋向于等于上限。相比之下,具有低或中等规模内在效用的大量倾向于在其有效下界上达到最优容量。我们评估了共享实时停车信息的通勤者在不同选择场景下的最优方案的性能。我们了解到,在平均选择情景中,当模型中同时考虑停车信息和拥堵的影响时,通勤者的生活状况会比忽略其中任何一种影响时更好。这篇文章受版权保护。版权所有
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引用次数: 0
Managing presales with two payments and return policy when consumers are time‐inconsistent 管理预售与两次付款和退货政策,当消费者的时间不一致
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-08-19 DOI: 10.1111/poms.14052
Yunjuan Kuang, Li Jiang
We consider a firm using presales with two payments – including an upfront deposit and a postponed arrear – to sell a product to time‐inconsistent consumers under various return policies. With the passage of time, consumers decide whether to preorder the product by paying the deposit, whether to settle the balance by paying the arrear by the due date, and, when returns are allowed, whether to return a fully paid product for a refund after its fitness is revealed. Canceling a preorder before settling the balance or failing to settle the balance on time causes a deposit payer to lose deposit. Consumers use quasi‐hyperbolic discounting to weigh intertemporal utilities and exhibit time‐inconsistency when making purchase decisions. Our results indicate that, as consumers' time‐inconsistency weakens, the firm manages the deposit and the arrear to induce no, some, and all deposit payers, in that sequence, to settle the balance. It has mixed effects on the profit of the firm and consumer surplus, but always causes social welfare to improve since actual sales increase. Regarding the choice of return policy, the firm prefers full returns while consumers prefer no returns when consumers are time‐inconsistent; they share similar preferences when consumers are time‐consistent. Moreover, we find that consumers' imbalance (caused by time‐inconsistent preference) is less likely to occur as consumers are more sophisticated, as the presales period shortens, as the product value increases, or as the product is more likely to be a good fit. In addition, allowing a quick refund for fully paid but not yet delivered products can completely deter imbalance, while this option harms the firm and may or may not benefit consumers. All this yields novel insights into managing presales with two payments and returns when consumers are time‐inconsistent.This article is protected by copyright. All rights reserved
我们考虑一家公司使用两种付款方式进行预售——包括预付款和延期付款——在各种退货政策下向时间不一致的消费者销售产品。随着时间的推移,消费者决定是否通过预付押金的方式预订产品,是否在到期日之前通过支付欠款的方式结算余额,以及在允许退货的情况下,是否在发现产品适合度后退回全额退款。在未结清余额或未按时结清余额前取消预订会导致定金支付人丢失定金。消费者使用准双曲线折扣来衡量跨期效用,并在做出购买决定时表现出时间不一致性。我们的研究结果表明,随着消费者的时间不一致性减弱,公司管理存款和拖欠,以诱导没有,一些和所有的存款支付者,在那个顺序,结算余额。它对企业利润和消费者剩余的影响是混合的,但总是由于实际销售额的增加而导致社会福利的改善。对于退货政策的选择,当消费者时间不一致时,企业倾向于全额退货,而消费者倾向于不退货;当消费者具有时间一致性时,他们有相似的偏好。此外,我们发现消费者的不平衡(由时间不一致的偏好引起)不太可能发生,因为消费者更成熟,预售期缩短,产品价值增加,或者产品更有可能是一个很好的契合。此外,允许全额付款但尚未交付的产品快速退款可以完全阻止不平衡,而这种选择损害了公司,也可能对消费者有利,也可能不利于消费者。所有这些都产生了新颖的见解,管理预售与两个付款和回报,当消费者是时间不一致的。这篇文章受版权保护。版权所有
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引用次数: 1
It's not simply luck: the impact of network strategy, schedule padding, and operational improvements on domestic on‐time performance in the US airline industry 这不仅仅是运气的问题:美国航空业的网络战略、航班安排和运营改进对国内准点率的影响
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-08-18 DOI: 10.1111/poms.14050
Chandrasekhar Manchiraju, Milind G. Sohoni, V. Deshpande
Airlines showcase their on‐time performance (OTP), a globally accepted operational performance metric, to demonstrate punctuality, service reliability, and attract air travelers. Airlines can adopt passive strategies, such as “schedule padding”, and active strategies, such as making “operational changes/improvements”, to improve their OTP. While there is a high degree of variation in airlines' OTP from year to year, it is unclear if and the extent to which airlines' active or passive actions impact their OTP because of factors, like weather, outside an airline's control. We develop a framework in this paper to study the impact of these active and passive actions on the OTP of airlines. Additionally, we study the effect of these strategies on OTP rankings, routinely used to compare airlines. Our methodology builds on the structural estimation model developed in prior literature and replicates the typical schedule planning process observed in the airline industry. We use an eleven‐year panel data of flights operated by US domestic carriers from 2005 to 2015 to measure OTP changes, schedule padding, and operational changes. Broadly, active actions include (i) changes to the airline's network structure (for example, flight routes and schedules), and (ii) other operational changes to improve flight performance (operational improvement). We demonstrate through our analysis that operational improvements have the highest association with both the change in OTP and OTP rankings of airlines, followed by schedule padding; the impact of network changes on OTP and OTP rankings is the lowest. Our framework also accounts for the impact of competition on an airline's OTP ranking. We show that while an airline's own actions can improve its OTP ranking, a competitor's action may negatively affect the ranking. In fact, a competitor's passive strategy of schedule padding may have a higher impact than an airline's own active strategy of changes in network structure. Our results also indicate that the potential impact of operations improvements is the highest for full‐service airlines and the lowest for leisure airlines. Furthermore, we show that the impact of operational improvements and buffer adjustments decreases with an increase in the variability of the travel time of a route.This article is protected by copyright. All rights reserved
航空公司展示其准时性能(OTP),这是一种全球公认的运营性能指标,以展示准点性、服务可靠性并吸引航空旅客。航空公司可以采取被动策略,如“时间表填充”,也可以采取主动策略,如进行“运营更改/改进”,以提高OTP。虽然航空公司的OTP每年都有很大的变化,但尚不清楚航空公司的主动或被动行动是否以及在多大程度上影响了他们的OTP,因为天气等因素超出了航空公司的控制范围。我们在本文中开发了一个框架来研究这些主动和被动行为对航空公司OTP的影响。此外,我们还研究了这些策略对OTP排名的影响,OTP排名通常用于比较航空公司。我们的方法建立在先前文献中开发的结构估计模型的基础上,并复制了航空业中观察到的典型时间表规划过程。我们使用2005年至2015年美国国内航空公司运营的11年面板数据来衡量OTP变化、时间表填充和运营变化。从广义上讲,积极行动包括(i)改变航空公司的网络结构(例如航线和时间表),以及(ii)改善飞行性能的其他运营变化(运营改进)。我们通过分析表明,运营改进与航空公司OTP和OTP排名的变化有着最高的相关性,其次是时间表的增加;网络变化对OTP和OTP排名的影响最低。我们的框架还考虑了竞争对航空公司OTP排名的影响。我们发现,虽然航空公司自己的行为可以提高其OTP排名,但竞争对手的行为可能会对排名产生负面影响。事实上,竞争对手的被动时间表填充策略可能比航空公司自己的主动网络结构变化策略产生更大的影响。我们的研究结果还表明,运营改进的潜在影响对全服务航空公司最高,对休闲航空公司最低。此外,我们还表明,运营改进和缓冲区调整的影响随着路线旅行时间变化的增加而减少。本文受版权保护。保留所有权利
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引用次数: 0
The framework of parametric and nonparametric operational data analytics 参数化和非参数化操作数据分析的框架
3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-08-18 DOI: 10.1111/poms.14038
Qi Feng, J. George Shanthikumar
Abstract This paper introduces the general philosophy of the Operational Data Analytics (ODA) framework for data‐based decision modeling. The fundamental development of this framework lies in establishing the direct mapping from data to decision by identifying the appropriate class of operational statistics. The efficient decision making relies on a careful balance between data integration and decision validation . Through a canonical decision making problem under uncertainty, we show that the existing approaches (including statistical estimation and then optimization, retrospective optimization, sample average approximation, regularization, robust optimization, and robust satisficing) can all be unified through the lens of the ODA formulation. To make the key concepts accessible, we demonstrate, using a simple running example, how some of the existing approaches may become equivalent under the ODA framework, and how the ODA solution can improve the decision efficiency, especially in the small sample regime.
本文介绍了基于数据的决策建模的操作数据分析(ODA)框架的一般理念。该框架的基本发展在于通过确定适当的操作统计类别,建立从数据到决策的直接映射。有效的决策制定依赖于数据集成和决策验证之间的仔细平衡。通过一个不确定条件下的典型决策问题,我们证明了现有的方法(包括统计估计再优化、回顾性优化、样本平均逼近、正则化、鲁棒优化和鲁棒满足)都可以通过ODA公式统一起来。为了使关键概念易于理解,我们使用一个简单的运行示例演示了一些现有方法如何在官方发展援助框架下变得等效,以及官方发展援助解决方案如何提高决策效率,特别是在小样本制度下。
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引用次数: 0
Dynamics between Warehouse Operations and Vehicle Routing 仓库运营和车辆路线之间的动力学
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-08-18 DOI: 10.1111/poms.14051
Arpan Rijal, Marco Bijvank, R. D. de Koster
When scheduling the distribution of ordered items from a warehouse to customers, the transportation planning is generally done first and serves as input for planning warehouse operations. Such a sequential approach can lead to substantial inefficiencies when the customer deliveries are restricted by time windows and the warehouse has limited resources available (both order pickers and space in the staging area). This paper studies the trade‐offs between warehouse operations and transportation planning. The goal is to understand the impact of three specific managerial interventions: adopting an integrated planning approach, expanding the available staging space, and expanding the delivery time windows. To this end, we propose a mathematical model for a general vehicle routing problem that incorporates order batching, order picker scheduling, staging, and vehicle loading. We introduce a novel idea to express the picking time of an order batch as a function of the batch size and develop a metaheuristic to solve this integrated problem. Furthermore, we develop exact algorithms to provide optimal solutions for the individual warehouse and transportation problems in a sequential planning approach. Managerial insights are distilled from case studies in two warehouses, one for ambient products and the other for refrigerated products, of a leading grocery retailer in the Netherlands. Our results show that integrated planning outperforms the other managerial interventions and generates cost savings between 9 and 11%. Savings are generally realized by executing larger order batch sizes to be picked in the warehouses at the expense of additional routing cost (around 2 to 3%). The second intervention in the form of time window expansions of only 15 minutes for customer deliveries can lead to cost savings between 4 to 6%, which results from a reduction in both transportation and warehousing cost. Expanding the capacity of the staging area is only meaningful when the staging space is highly utilized, and only results in cost savings for the warehouse operations.This article is protected by copyright. All rights reserved
当安排从仓库向客户分配订购物品时,运输计划通常首先完成,并作为计划仓库操作的输入。当客户交付受到时间窗口的限制,并且仓库的可用资源(订单分拣员和暂存区的空间)有限时,这种顺序方法可能会导致效率低下。本文研究了仓库运营和运输计划之间的权衡。目标是了解三种具体管理干预措施的影响:采用综合规划方法、扩大可用的集结空间和扩大交付时间窗口。为此,我们提出了一个通用车辆路径问题的数学模型,该问题包括订单分批、订单拣选调度、分段和车辆装载。我们引入了一种新的思想,将订单批次的挑选时间表示为批次大小的函数,并开发了一种元启发式方法来解决这个集成问题。此外,我们开发了精确的算法,以在顺序规划方法中为单个仓库和运输问题提供最优解决方案。管理见解是从荷兰一家领先的杂货零售商的两个仓库的案例研究中提炼出来的,一个用于环境产品,另一个用于冷藏产品。我们的研究结果表明,综合规划优于其他管理干预措施,可节省9%至11%的成本。节省通常是通过执行较大的订单批量在仓库中挑选来实现的,而牺牲了额外的路线成本(约2%至3%)。第二种干预措施是将客户交付的时间窗口延长15分钟,可以节省4%至6%的成本,这是由于运输和仓储成本的降低。只有当暂存空间被高度利用时,扩大暂存区的容量才有意义,而且只会为仓库操作节省成本。本文受版权保护。保留所有权利
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引用次数: 0
Global agricultural supply chains under tariff‐rate quotas R.4 关税配额下的全球农业供应链
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-08-18 DOI: 10.1111/poms.14054
Behzad Hezarkhani, Sobhan Arisian, A. Mansouri
The tariff rate quota (TRQ) is a widely utilized market access instrument in global agricultural trade that allows a predetermined quantity of a product to be imported at a lower tariff rate than the usual rate. This study examines the design and administration of TRQ systems from an operations management perspective and analyzes their impact on market access, fill‐rates, and revenue for policy makers. We investigate the two most common TRQ administration methods, namely, licensing and first‐come, first‐served (FCFS) systems. We characterize the Nash equilibria of importers' strategies and observe how information delays and lead times can result in under‐utilization (i.e., imports being less than the quota limit) in licensing, and over‐utilization (i.e., imports exceeding the quota limit) in FCFS TRQ systems. We introduce a dual TRQ system and demonstrate its superiority over licensing and FCFS systems. We study the effects of stock‐keeping options through customs‐bonded warehouses and the choice of logistics channels on arrival patterns and fill‐rates. We conduct a case study of the UK and the EU imported beef market using customs data. Our numerical study provides an explanation for the sub‐optimality of the current TRQ systems and proposes modifications to transform the existing systems. Our findings offer practical directions for agricultural traders to reassess their supply chain strategies by considering the logistical implications of TRQ systems and understanding their competition. This study also urges policy makers to adopt an integrative approach in (re)designing TRQ systems, recognizing the pivotal role of supply chains in global agricultural trade.This article is protected by copyright. All rights reserved
关税配额(TRQ)是全球农业贸易中广泛使用的市场准入工具,允许以比通常价格更低的关税进口预定数量的产品。本研究从运营管理的角度考察了TRQ系统的设计和管理,并分析了它们对市场准入、填充率和决策者收入的影响。我们研究了两种最常见的TRQ管理方法,即许可和先到先得(FCFS)系统。我们描述了进口商策略的纳什均衡,并观察了信息延迟和交付周期如何导致FCFS TRQ系统中许可证使用不足(即进口低于配额限制)和过度使用(即进口超过配额限制)。我们介绍了一个双TRQ系统,并证明了它优于许可证和FCFS系统。我们研究了通过海关保税仓库的库存选择以及物流渠道的选择对到达模式和填充率的影响。我们利用海关数据对英国和欧盟进口牛肉市场进行了案例研究。我们的数值研究解释了当前TRQ系统的次优性,并提出了对现有系统进行改造的建议。我们的研究结果为农业贸易商通过考虑TRQ系统的物流影响和了解其竞争对手来重新评估其供应链战略提供了实际指导。这项研究还敦促政策制定者在(重新)设计TRQ系统时采取综合方法,认识到供应链在全球农业贸易中的关键作用。本文受版权保护。保留所有权利
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引用次数: 0
Games of supplier encroachment channel selection and e‐tailer's information sharing 供应商侵占渠道选择与电子零售商信息共享的博弈
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-08-18 DOI: 10.1111/poms.14055
Yanli Tang, S. Sethi, Yulan Wang
We consider an e‐tailer's upstream supplier who wants to encroach into retailing to earn additional revenue. The supplier needs to decide whether or not to enter the retail market by either selling to consumers on the e‐tailer's platform by paying commission fees (agency encroachment) or opening an independent online/offline retail store (direct encroachment). The e‐tailer has private demand information and decides whether or not to share it with the supplier. Two leadership scenarios—the supplier‐leads (i.e., the supplier selects the channel before the e‐tailer decides whether to share information) and the e‐tailer‐leads (i.e., the supplier selects the channel after the e‐tailer decides whether to share information)—are examined. Our main findings are as follows. First, we show that the e‐tailer has no incentive to share information under no encroachment and direct encroachment. Interestingly, this result holds in both leadership scenarios. Second, a medium commission rate gives rise to an equilibrium of agency encroachment with information sharing by the e‐tailer. This equilibrium is more likely to sustain in the supplier‐leads scenario than in the e‐tailer‐leads scenario. Third, agency encroachment brings the supplier the highest sales volume (at retail in the encroaching channel plus on wholesale to the e‐tailer) when the two parties compete in quantity while direct encroachment does so for a price competition. Fourth, supplier encroachment always improves consumer surplus, but it is not necessarily welfare‐improving. Last, we find that the e‐tailer is more willing to share information to induce the supplier to encroach through his agency channel if he has a significant selling cost advantage over the supplier or can endogenously determine the commission rate.This article is protected by copyright. All rights reserved
我们考虑一个电子零售商的上游供应商,他想要进入零售业赚取额外的收入。供应商需要决定是否进入零售市场,是通过支付佣金(代理侵占)在电子零售商的平台上向消费者销售产品,还是开设独立的线上/线下零售店(直接侵占)。电子零售商拥有私人需求信息,并决定是否与供应商共享。研究了两种领导情景——供应商-领导(即供应商在电子零售商决定是否共享信息之前选择渠道)和电子零售商-领导(即供应商在电子零售商决定是否共享信息之后选择渠道)。我们的主要发现如下。首先,我们证明了在无侵犯和直接侵犯的情况下,电子零售商没有共享信息的动机。有趣的是,这一结果在两种领导情境中都成立。其次,中等佣金率导致代理商侵占与零售商信息共享的均衡。这种平衡在供应商领先的情况下比在零售商领先的情况下更有可能维持。第三,当双方以数量竞争时,代理侵占给供应商带来了最高的销售量(在侵占渠道的零售加上对电子零售商的批发),而直接侵占则是为了价格竞争。第四,供应商侵占总是会提高消费者剩余,但并不一定会改善福利。最后,我们发现,如果电子零售商对供应商具有显著的销售成本优势,或者能够内生地决定佣金率,则电子零售商更愿意通过其代理渠道分享信息,以诱导供应商入侵。这篇文章受版权保护。版权所有
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引用次数: 1
Sequential versus concurrent final phase product development: Approval uncertainty, time‐sensitive consumers, asymmetric competition, and government subsidy 顺序与同步的最终阶段产品开发:批准不确定性、时间敏感型消费者、不对称竞争和政府补贴
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-07-25 DOI: 10.1111/poms.14048
Yasemin Limon, Christopher S. Tang, Fehmi Tanrısever
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引用次数: 0
Display optimization under the multinomial logit choice model: Balancing revenue and customer satisfaction 多项logit选择模型下的陈列优化:收益与顾客满意度的平衡
IF 5 3区 管理学 Q1 ENGINEERING, MANUFACTURING Pub Date : 2023-07-13 DOI: 10.1111/poms.14040
Jacob Feldman, Puping Jiang
In this paper, we consider an assortment optimization problem in which a platform must choose pairwise disjoint sets of assortments to offer across a series of T stages. Arriving customers begin their search process in the first stage, and progress sequentially through the stages until their patience expires, at which point they make a multinomial logit–based purchasing decision from among all products they have viewed throughout their search process. The goal is to choose the sequential displays of product offerings to maximize expected revenue. Additionally, we impose stage-specific constraints that ensure that as each customer progresses farther and farther through the T stages, there is a minimum level of “desirability” met by the collections of displayed products. We consider two related measures of desirability: purchase likelihood and expected utility derived from the offered assortments. In this way, the offered sequence of assortments must be both high earning and well liked, which breaks from the traditional assortment setting, where customer-centric considerations are generally not explicitly accounted for. We show that our assortment problem of interest is strongly NP-Hard, thus ruling out the existence of a fully polynomial-time approximation scheme (FPTAS). From an algorithmic standpoint, as a warm-up, we develop a simple constant factor approximation scheme in which we carefully stitch together myopically selected assortments for each stage. Our main algorithmic result consists of a polynomial-time approximation scheme (PTAS), which combines a handful of structural results related to the make-up of the optimal assortment sequence within an approximate dynamic programming framework. We also provide an additional approximation scheme, which, under mild assumptions, can handle a cardinality constraint that enforces that an exact number of new products are introduced at each stage. Using an extensive set of numerical experiments, we demonstrate that both algorithms exhibit excellent practical performance, producing sequences of assortments that are, on average, always within 2% of optimal.
在本文中,我们考虑了一个分类优化问题,其中平台必须在一系列T阶段中选择成对不相交的分类集。到达的顾客在第一阶段开始他们的搜索过程,然后依次进行,直到他们的耐心耗尽,这时他们从他们在搜索过程中看到的所有产品中做出基于多项逻辑的购买决策。目标是选择产品的顺序显示,以最大限度地提高预期收入。此外,我们施加了特定于阶段的约束,以确保随着每个客户在T阶段中的进展越来越远,所展示的产品集合满足了最低程度的“可取性”。我们考虑了两种相关的可取性度量:购买可能性和期望效用,从提供的分类中得到。通过这种方式,提供的分类序列必须既高收入又受欢迎,这打破了传统的分类设置,在传统的分类设置中,以客户为中心的考虑通常没有明确考虑。我们表明,我们感兴趣的分类问题是强NP-Hard的,因此排除了一个完全多项式时间近似方案(FPTAS)的存在。从算法的角度来看,作为热身,我们开发了一个简单的常数因子近似方案,在这个方案中,我们仔细地将每个阶段近视选择的分类拼接在一起。我们的主要算法结果由一个多项式时间近似方案(PTAS)组成,该方案结合了一些与近似动态规划框架内最优分类序列组成相关的结构结果。我们还提供了一个额外的近似方案,在温和的假设下,它可以处理基数约束,强制在每个阶段引入精确数量的新产品。通过大量的数值实验,我们证明了这两种算法都表现出出色的实际性能,产生的分类序列平均总是在最优的2%以内。
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引用次数: 0
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Production and Operations Management
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