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Physical question, virtual answer: Optimized real-time physical simulations and physics-informed learning approaches for cargo loading stability 物理问题,虚拟答案:货物装载稳定性的优化实时物理模拟和物理信息学习方法
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-02-16 DOI: 10.1016/j.orp.2025.100329
Philipp Gabriel Mazur, Johannes Werner Melsbach, Detlef Schoder
Cargo stability is a crucial requirement for safe cargo loading and transport. Current state-of-the-art approaches simplify cargo loading to an idealized static problem and employ geometric- and force-based approaches. In this research, we model cargo loading stability as a dynamic problem and propose two approaches. We use (a) a physical simulation using a real-time physics engine fitted for cargo loading and (b) a physics-informed learning model trained on cargo loading data. Both approaches are capable of handling dynamic physical behavior, either explicitly through simulation, or implicitly through training a recurrent neural network on physically-biased sequential cargo loading data. Given our two objectives of maximal accuracy and minimal runtime, our benchmarking results show that our approaches can outperform current state-of-the-art static stability methods in terms of accuracy depending on the complexity scenario, but consume more runtime.
货物稳定性是货物安全装载和运输的关键要求。目前最先进的方法将货物装载简化为理想化的静态问题,并采用基于几何和力的方法。在本研究中,我们将货物装载稳定性建模为一个动态问题,并提出了两种方法。我们使用(a)使用适合货物装载的实时物理引擎进行物理模拟,以及(b)使用货物装载数据训练的物理知识学习模型。这两种方法都能够处理动态物理行为,要么通过模拟显式地处理,要么通过在有物理偏差的顺序货物装载数据上训练递归神经网络来隐式地处理。考虑到我们的两个目标——最大精度和最小运行时间,我们的基准测试结果表明,根据复杂性场景,我们的方法在精度方面可以优于当前最先进的静态稳定性方法,但会消耗更多的运行时间。
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引用次数: 0
Optimising a closed-loop supply chain inventory system with product, material, and energy recoveries under different coordination structures 优化不同协调结构下产品、材料和能源回收的闭环供应链库存系统
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-02-17 DOI: 10.1016/j.orp.2025.100326
Anindya Rachma Dwicahyani , I Nyoman Pujawan , Erwin Widodo
The increasing recognition of environmental concerns and the adoption of Extended Producer Responsibility (EPR) have contributed significantly to the development of sustainable industries. Reverse logistics (RL) and closed-loop supply chain (CLSC) are two concepts that involve effective management of product returns to minimise consumer waste. In this paper, the authors develop a mathematical model for inventory management in CLSC systems with multiple recovery options, including product, material and energy recoveries. The model was developed based on a supply chain structure that includes a supplier, a manufacturer, a retailer, and a material recovery facility (MRF). The proposed model helps to maximise the profit of the supply chain. A hybrid method of analytical and numerical approaches is used to determine the optimal inventory decisions, including order cycle time and number of shipments between parties. Solution procedures are proposed for decentralised (DDMS) and centralised decision-making structures (CDMS). Furthermore, a profit-sharing mechanism is also analysed in the model. A sensitivity analysis is carried out to investigate the model's behaviour concerning variations in crucial parameters, including demand, product returns, recycling cost, post-consumer recycled content, and energy recoverable item rate. The results of this study show that the CDMS, without profit-sharing, generates the highest profits for the system. On the other hand, implementing a profit-sharing mechanism provides a fairer profit enhancement to the parties involved. Applying the energy recovery at the supplier results in financial benefits for the system. Additional discussion is carried out to understand the impact of energy recovery on the model's optimal solution.
日益认识到环境问题和采用扩大生产者责任对可持续工业的发展作出了重大贡献。逆向物流(RL)和闭环供应链(CLSC)是两个概念,涉及产品退货的有效管理,以尽量减少消费者的浪费。在本文中,作者建立了一个具有多种回收方案的CLSC系统库存管理的数学模型,包括产品、材料和能源回收。该模型是基于供应链结构开发的,其中包括供应商、制造商、零售商和材料回收设施(MRF)。所提出的模型有助于使供应链的利润最大化。采用分析和数值方法的混合方法来确定最优库存决策,包括订单周期时间和各方之间的发货数量。提出了分散决策结构(DDMS)和集中决策结构(CDMS)的解决程序。此外,模型还分析了利润分享机制。进行敏感性分析以调查模型在关键参数变化方面的行为,包括需求、产品退货、回收成本、消费后回收含量和能源可回收物品率。研究结果表明,在没有利润分成的情况下,清洁发展管理体系的利润最高。另一方面,实施利润分享机制可以为相关各方提供更公平的利润增长。在供应商处应用能量回收可以为系统带来经济效益。进一步讨论了能量回收对模型最优解的影响。
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引用次数: 0
The berth allocation problem in bulk terminals under uncertainty 不确定条件下散货码头的泊位分配问题
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-04-05 DOI: 10.1016/j.orp.2025.100334
Filipe Rodrigues
Uncertainty is critical in bulk terminals because it is inherent to many operations. In particular, the berth allocation problem (BAP) is greatly affected by the uncertain arrival times of the vessels. In this paper, we propose the first distributionally robust optimization (DRO) model for the BAP in bulk terminals, where the probability distribution of the arrival times is assumed to be unknown but belongs to an ambiguity set. To solve the model, we use an exact decomposition algorithm (DA) in which the probability distribution information is iteratively included in the master problem through optimal dual cuts. The DA is then enhanced with two improvement strategies to reduce the associated computational time; however, with these strategies, the DA may no longer be exact and is still inefficient for solving large-scale instances. To overcome these issues, we propose a modified exact DA where the dual cuts used in the original DA are replaced by powerful primal cuts that drastically reduce the time required to solve the DRO model, making it possible to handle large-scale instances. The reported computational experiments also show clear benefits of using DRO to tackle uncertainty compared to stochastic programming and robust optimization.
不确定性在散货码头是至关重要的,因为它是许多操作所固有的。特别是船舶到达时间的不确定性对泊位分配问题的影响较大。本文首次提出了散货码头BAP的分布鲁棒优化(DRO)模型,该模型假设到达时间的概率分布是未知的,但属于一个模糊集。为了求解该模型,我们使用精确分解算法(DA),该算法通过最优对偶切割迭代地将概率分布信息包含在主问题中。然后用两种改进策略增强数据分析,以减少相关的计算时间;然而,使用这些策略,数据分析可能不再是精确的,并且在解决大规模实例时仍然效率低下。为了克服这些问题,我们提出了一种改进的精确数据分析,其中原始数据分析中使用的双切割被强大的原始切割所取代,从而大大减少了求解DRO模型所需的时间,从而可以处理大规模实例。与随机规划和鲁棒优化相比,报告的计算实验也显示了使用DRO解决不确定性的明显优势。
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引用次数: 0
The selective multiple depot pickup and delivery problem with multiple time windows and paired demand 具有多个时间窗口和成对需求的选择性多仓库取货问题
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-05-31 DOI: 10.1016/j.orp.2025.100342
Daniël Roelink , Giovanni Campuzano , Martijn Mes , Eduardo Lalla-Ruiz
A recurring challenge for transportation companies is the inefficiency of returning (partially) empty vehicles, or backhauling, after delivering orders. To address this issue, companies search on freight exchange platforms for profitable pickup and delivery orders, aiming to reduce the costs associated with empty return trips. The increasing reliance on freight exchange platforms presents both an opportunity and a challenge: while they offer access to profitable loads, effectively selecting the right combination of orders to maximize returns is challenging. This paper addresses this challenge by introducing the Selective Multiple Depot Pickup and Delivery Problem with Multiple Time Windows and Paired Demand (SMDPDPMTWPD). We formulate the SMDPDPMTWP as a Mixed-Integer Linear Program (MILP) to maximize profit and optimize freight selection for return trips. In addition to the main model, three problem extensions are proposed: (i) profit maximization including CO2 costs, (ii) soft time windows, and (iii) soft time windows including CO2 costs. Given the complexity of the problem, we develop an Adaptive Large Neighborhood Search (ALNS) metaheuristic to solve large instances within reasonable computing times and compare it with a Simulated Annealing (SA) heuristic. Results show that ALNS outperforms SA and finds the same optimal solutions as the MILP formulation for small instances. Furthermore, ALNS achieves an average improvement of 308.17% over the initial solutions for the profit maximization variant. The model variant with CO2 costs shows a slight sensitivity of the routing schedules to the CO2 emissions costs, whereas we observe a significant change when allowing soft time windows. Finally, soft time windows significantly increase the profits earned compared to the hard time windows (179.54% on average), due to the additional flexibility created when late arrivals are possible.
运输公司面临的一个反复出现的挑战是,在交付订单后,返回(部分)空载车辆或回程的效率低下。为了解决这个问题,公司在货运交易平台上寻找有利可图的取货和送货订单,目的是减少与空回程相关的成本。对货运交易平台的日益依赖既带来了机遇,也带来了挑战:虽然它们提供了有利可图的货物,但有效地选择正确的订单组合以最大化回报是一项挑战。本文通过引入具有多时间窗口和配对需求的选择性多仓库取货和交付问题(SMDPDPMTWPD)来解决这一挑战。我们将SMDPDPMTWP制定为一个混合整数线性规划(MILP),以最大化利润和优化往返的运费选择。在主要模型的基础上,提出了三个问题扩展:(i)包含CO2成本的利润最大化;(ii)包含CO2成本的软时间窗;(iii)包含CO2成本的软时间窗。考虑到问题的复杂性,我们开发了一种自适应大邻域搜索(ALNS)元启发式方法来在合理的计算时间内解决大型实例,并将其与模拟退火(SA)启发式方法进行比较。结果表明,对于小实例,ALNS优于SA,并找到与MILP公式相同的最优解。此外,对于利润最大化变量,ALNS比初始解平均提高了308.17%。考虑二氧化碳排放成本的模型变量显示出路线调度对二氧化碳排放成本的轻微敏感性,而当允许软时间窗时,我们观察到显著的变化。最后,与硬时间窗口相比,软时间窗口显著增加了获得的利润(平均为179.54%),这是由于在可能出现延迟到达的情况下创造了额外的灵活性。
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引用次数: 0
Pricing strategy of supply chain considering response time of extended warranty service 考虑延保服务响应时间的供应链定价策略
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-02-12 DOI: 10.1016/j.orp.2025.100330
Xingjian Zhou , Yan Feng , Hongming Chen , Lihua Cai , Vladimir Bashkarev
Extended warranty services (EWS) offers avenues for new profit sources and growth opportunities. In a time-sensitive market, the response time has an important impact on the pricing of EWS and satisfying consumer utility. Applying Stakelberg Game theory, a two-echelon product-service supply chain consisting of a manufacturer and two retailers (Self-owned, Franchised) is construct. Considering the EWS response time and price to characterize the consumer utility function, the EWS pricing strategies in different market stages are studied based on the scenarios of identical response time (IRT) and different response time (DRT). The research shows that: (1) under IRT scenario, the optimal EWS pricing and cost of the self-owned and franchised retailers are negatively related to the response time, therefore, both retailers should consider a trade-off strategy between the EWS price and the response time; (2) under DRT scenario, an EWS response time threshold exists, based on which the self-owned and franchised retailers should develop the optimal EWS pricing strategies; (3) under DRT scenario, the retailers’ optimal EWS prices have a negative relationship with consumers’ price sensitivity coefficient, and a positive relationship with consumers’ time sensitivity coefficient. The manufacturer and the self-owned retailer can significantly reduce EWS response time with a limited increase in the prices. While the franchised retailer need to follow the self-owned retailer in developing its pricing strategy. The study construct a time-sensitive consumer utility function by integrating response time and pricing, more accurately portraying the expected value of EWS. Based on the market characteristics of EWS growth and maturity periods, the EWS pricing strategies are expanded regarding response time differentiation in multiple cycles. It helps companies better understand consumer demand for EWS, and assists them in formulating pricing strategies for different stages of EWS market development,and improving EWS supply chain management.
延长保修服务(EWS)为新的利润来源和增长机会提供了途径。在时间敏感型市场中,响应时间对电力系统的定价和满足消费者效用有重要影响。运用斯塔克伯格博弈论,构建了一个由制造商和零售商(自营、特许经营)组成的两级产品服务供应链。考虑电力系统响应时间和价格表征消费者效用函数,在相同响应时间(IRT)和不同响应时间(DRT)情景下,研究了电力系统在不同市场阶段的定价策略。研究表明:(1)在IRT情景下,自有零售商和特许零售商的最优EWS价格和成本与响应时间呈负相关,因此零售商都应考虑在EWS价格和响应时间之间权衡策略;(2) DRT情景下,存在一个EWS响应时间阈值,自营零售商和特许零售商应在此基础上制定最优的EWS定价策略;(3) DRT情景下,零售商的最优EWS价格与消费者的价格敏感系数呈负相关,与消费者的时间敏感系数呈正相关。制造商和自营零售商可以在有限的价格上涨的情况下显著缩短EWS响应时间。而特许经营零售商则需要跟随自营零售商制定定价策略。本研究通过整合响应时间和定价,构建了一个时间敏感的消费者效用函数,更准确地描述了EWS的期望值。根据电力系统成长期和成熟期的市场特征,扩展了电力系统多周期响应时间差异化的定价策略。它可以帮助企业更好地了解消费者对EWS的需求,帮助企业制定针对EWS市场开发不同阶段的定价策略,改善EWS供应链管理。
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引用次数: 0
Evolutionary game analysis of stakeholder privacy management in the AIGC model AIGC模型下利益相关者隐私管理的演化博弈分析
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-02-13 DOI: 10.1016/j.orp.2025.100327
Yali Lv, Jian Yang, Xiaoning Sun, Huafei Wu
The technological development powered by Artificial Intelligence Generated Content (AIGC) models, exemplified by Generative Pre-trained Transformer 4 (GPT-4) and Bidirectional Encoder Representations from Transformers (BERT), has completely transformed machine language processing and fostered substantial technological advancements. However, their extensive deployment has amplified concerns regarding data privacy risks, which are attributed not only to technological vulnerabilities but also to the intricate conflicts of interest among model providers, application service providers, and privacy regulators. To tackle this challenge, this research develops a tripartite evolutionary game model that examines the strategic interactions and dynamic relationships among large language model providers, application service providers, and privacy regulatory agencies. By employing replicator dynamic equations and Jacobian matrices, the research investigates the stability of strategic equilibria and simulates optimal adjustment paths across diverse policy scenarios. Drawing on the research findings, this paper offers practical recommendations to strengthen data privacy protection in large language models, delivering a solid theoretical foundation for policymakers and industry practitioners.
人工智能生成内容(AIGC)模型推动的技术发展,以生成预训练变形金刚4 (GPT-4)和变形金刚双向编码器表示(BERT)为例,彻底改变了机器语言处理,促进了实质性的技术进步。然而,它们的广泛部署加剧了人们对数据隐私风险的担忧,这不仅归因于技术漏洞,还归因于模型提供商、应用服务提供商和隐私监管机构之间错综复杂的利益冲突。为了应对这一挑战,本研究开发了一个三方进化博弈模型,该模型考察了大型语言模型提供商、应用服务提供商和隐私监管机构之间的战略互动和动态关系。利用复制因子动力学方程和雅可比矩阵,研究了策略均衡的稳定性,并模拟了不同策略情景下的最优调整路径。根据研究结果,本文提出了在大语言模型中加强数据隐私保护的实践建议,为政策制定者和行业从业者提供了坚实的理论基础。
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引用次数: 0
Novel shortcut strategies in copositivity detection: Decomposition for quicker positive certificates 组合性检测中的新捷径策略:分解以获得更快的正证书
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-01-02 DOI: 10.1016/j.orp.2024.100324
Johannes Zischg, Immanuel Bomze
Copositivity is a property of symmetric matrices which is NP-hard to check. Nevertheless, it plays a crucial role in tight bounds for conic approaches of several hard optimization problems. In this paper, we present novel promising shortcut strategies to exploit favorable instances in a systematic way, using decomposition strategies based upon the idea to allow for overlapping, smaller blocks, profiting from a beneficial sign structure of the entries of the given matrix. The working hypothesis of this approach is the common empirical observation in the community that for detection of copositivity, a negative certificate is easier to obtain than a positive one. First empirical results on carefully orchestrated randomly generated instances seem to corroborate our approach.
共生性是对称矩阵的一种np难检验性质。然而,对于一些困难优化问题的二次逼近,它在紧界中起着至关重要的作用。在本文中,我们提出了新的有前途的捷径策略,以系统的方式利用有利实例,使用基于允许重叠的思想的分解策略,较小的块,从给定矩阵的条目的有利符号结构中获益。这种方法的工作假设是社区中常见的经验观察,即对于共同性的检测,否定证明比肯定证明更容易获得。首先,对精心安排的随机生成的实例的实证结果似乎证实了我们的方法。
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引用次数: 0
Simplicity or flexibility? Dual sourcing in multi-echelon systems under disruption 简单还是灵活?在中断情况下多级系统中的双源
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-03-21 DOI: 10.1016/j.orp.2025.100333
Sadeque Hamdan , Youssef Boulaksil , Kilani Ghoudi , Younes Hamdouch
Disruptive events like the COVID-19 pandemic have exposed supply chain vulnerabilities. This study focuses on dual sourcing as a resilient strategy and examines a stochastic, single-item, multi-echelon, multi-period, dual sourcing inventory system under backorders. In each echelon, the decision-maker faces a dual-sourcing situation wherein the item can be replenished from a slow regular supplier or a more expensive and faster emergency supplier. We compare two inventory management policies: the Dual-Index Policy (DIP) and the Tailored Base-Surge (TBS) Policy, while also investigating how various factors influence policy effectiveness and the role of demand disruptions. Our findings indicate that the TBS policy generally relies more on upstream suppliers than the DIP. However, in scenarios of high demand uncertainty, upstream suppliers are seldom used. DIP is more effective for short networks facing sudden demand drops, whereas TBS excels when experiencing demand spikes.
COVID-19大流行等破坏性事件暴露了供应链的脆弱性。本研究的重点是双重采购作为一种弹性策略,并考察了在缺货情况下的随机、单项目、多级、多时期的双重采购库存系统。在每个梯队中,决策者都面临双重采购的情况,即物品可以从速度慢的正规供应商或更贵、更快的应急供应商处得到补充。我们比较了两种库存管理政策:双指数政策(DIP)和量身定制的基础激增(TBS)政策,同时也研究了各种因素如何影响政策有效性和需求中断的作用。我们的研究结果表明,TBS政策通常更依赖于上游供应商而不是DIP。然而,在需求不确定性高的情况下,很少使用上游供应商。DIP对于面临突然需求下降的短网络更有效,而TBS在经历需求峰值时表现出色。
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引用次数: 0
An advanced Successive Derivative Shortest Path algorithm for concave cost network flow problems 求解凹代价网络流问题的一种改进的连续导数最短路径算法
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-02-19 DOI: 10.1016/j.orp.2025.100331
Lu Yang, Zhouwang Yang
As production scales up, transportation networks increasingly involve nonlinear costs, leading to the concave cost network flow problem (CCNFP), which is notably challenging due to its nonlinearity. Existing nonlinear programming methods addressing the CCNFP often suffer from low efficiency and high computational cost, limiting their practical application. To overcome these limitations, this paper proposes the Successive Derivative Shortest Path (SDSP) algorithm, an efficient approach that combines a sequential linear approximation framework with regional first-order information of the objective function. By integrating regional first-order information and employing an interval reduction mechanism, the SDSP algorithm effectively avoids premature convergence to suboptimal solutions, thereby achieving higher-quality solutions. Numerical experiments, including parameter selection, validation, and comparative analysis, demonstrate that the SDSP algorithm outperforms existing methods in terms of both solution quality and convergence speed. This research offers a robust and efficient solution for the CCNFP, with potential applications in various fields, including logistics and supply chain networks, where concave cost network flow issues are common.
随着生产规模的扩大,运输网络越来越多地涉及非线性成本,导致了凹成本网络流问题(CCNFP),该问题因其非线性而具有显著的挑战性。现有的求解CCNFP的非线性规划方法存在效率低、计算成本高的问题,限制了其实际应用。为了克服这些局限性,本文提出了连续导数最短路径(SDSP)算法,这是一种将序列线性逼近框架与目标函数的区域一阶信息相结合的有效方法。SDSP算法通过整合区域一阶信息,采用区间约简机制,有效避免过早收敛到次优解,从而获得更高质量的解。数值实验,包括参数选择、验证和对比分析,表明SDSP算法在解质量和收敛速度上都优于现有方法。这项研究为CCNFP提供了一个强大而高效的解决方案,在各个领域都有潜在的应用,包括物流和供应链网络,其中凹成本网络流问题很常见。
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引用次数: 0
Dynamic pricing with waiting and price-anticipating customers 动态定价与等待和价格预期的客户
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-06-01 Epub Date: 2025-04-11 DOI: 10.1016/j.orp.2025.100337
Fabian Lange , Rainer Schlosser
Over the last decades, dynamic pricing has become increasingly popular. To solve pricing problems, however, is particularly challenging if the customers’ and competitors’ behavior are both strategic and unknown. Reinforcement Learning (RL) methods are promising for solving such dynamic problems with incomplete knowledge. RL algorithms have shown to outperform rule-based competitor heuristics if the underlying Markov decision process is kept simple and customers are myopic. However, the myopic assumption is becoming increasingly unrealistic since technology like price trackers allows customers to act more strategically. To counteract unknown strategic behavior is difficult as pricing policies and consumers buying patterns influence each other and hence, approaches to iteratively update both sides sequentially are time consuming and convergence is unclear. In this work, we show how to use RL algorithms to optimize prices in the presence of different types of strategic customers that may wait and time their buying decisions. We consider strategic customers that (i) compare current prices against past prices and that (ii) anticipate future price developments. To avoid frequently updating pricing policies and consumer price forecasts, we endogenize the impact of current price decisions on the associated changes in forecast-based consumer behaviors. Besides monopoly markets, we further investigate how the interaction with strategic consumers is affected by additional competing vendors in duopoly markets and present managerial insights for all market setups and customer types.
在过去的几十年里,动态定价变得越来越流行。然而,如果客户和竞争对手的行为都是战略性且未知的,那么解决定价问题就尤其具有挑战性。强化学习(RL)方法有望解决这类不完全知识的动态问题。如果潜在的马尔可夫决策过程保持简单,并且客户是短视的,RL算法已经显示出优于基于规则的竞争对手启发式算法。然而,这种目光短浅的假设正变得越来越不现实,因为像价格追踪器这样的技术让客户的行为更具战略性。要抵消未知的战略行为是困难的,因为定价政策和消费者购买模式相互影响,因此,迭代更新双方顺序的方法是耗时的,并且不清楚收敛。在这项工作中,我们展示了如何在不同类型的战略客户存在的情况下使用强化学习算法来优化价格,这些客户可能会等待并选择购买决策的时间。我们考虑的战略客户是(i)比较当前价格与过去价格和(ii)预测未来价格发展。为了避免频繁更新定价政策和消费者价格预测,我们内化了当前价格决策对基于预测的消费者行为相关变化的影响。除了垄断市场,我们进一步研究了在双寡头市场中与战略消费者的互动如何受到额外竞争供应商的影响,并提出了针对所有市场设置和客户类型的管理见解。
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引用次数: 0
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Operations Research Perspectives
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