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Great Deluge-based metaheuristic incorporating integer nonlinear programming for modeling and solving dynamic capability-based machine layout problem 基于大洪水的整合整数非线性规划的元启发式建模与求解基于动态能力的机器布局问题
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-10 DOI: 10.1016/j.cor.2025.107302
Adil Baykasoğlu , Kemal Subulan , Alper Hamzadayı
This paper introduces a novel Dynamic Capability-Based Machine Layout (DCB-ML) problem by integrating the Quadratic Assignment Problem (QAP) formulation with a Dynamic Capability-Based Part Flow Assignment (DCB-PFA) problem. This integration enables the simultaneous consideration of machines’ processing capabilities, routing flexibility, dynamic flow assignment, and machine capacity utilization. First, a new Integer Nonlinear Programming (INLP) model is developed. The dynamic part flows are determined via the DCB-PFA sub-problem, while machine–location assignments are obtained by solving QAP. To address the complex nature of this problem, a hybrid solution approach is proposed that combines a Great Deluge Algorithm (GDA) with a Mixed-Integer Linear Programming (MILP) model, complemented by local search procedures. Since the problem has a decomposable structure, the proposed approach allows each sub-problem to be addressed independently, while the overall solution quality is jointly evaluated. Decomposition reduces the size of the resulting MILP model, as several binary variables and assignment constraints are eliminated. The proposed hybrid approach is also compared with the INLP and its linearized equivalent on several test problems. For large-scale problems with medium to high capability overlaps, nonlinear and MIP solvers fail to obtain feasible solutions, whereas the proposed approach can efficiently generate high-quality solutions within reasonable times. Moreover, when the effects of different machine-capability overlaps are investigated, it is observed that the solution of the problem will be more complex in the case of higher machine-capability overlaps. However, considering machine capabilities improves overall layout scores and eliminates the necessity of frequent reconfigurations, which is costly and time-consuming.
将二次分配问题(QAP)与基于动态能力的零件流分配问题(DCB-PFA)相结合,提出了一种新的基于动态能力的机床布局问题(DCB-ML)。这种集成可以同时考虑机器的处理能力、路由灵活性、动态流分配和机器容量利用率。首先,提出了一种新的整数非线性规划模型。通过DCB-PFA子问题确定动态零件流,通过求解QAP获得机器位置分配。为了解决该问题的复杂性,提出了一种混合解决方法,该方法将大洪水算法(GDA)与混合整数线性规划(MILP)模型相结合,并辅以局部搜索过程。由于问题具有可分解的结构,因此所提出的方法允许独立处理每个子问题,同时联合评估整体解决方案的质量。分解减少了结果MILP模型的大小,因为消除了几个二进制变量和分配约束。在若干测试问题上,将所提出的混合方法与INLP及其线性化等效方法进行了比较。对于具有中高能力重叠的大规模问题,非线性和MIP求解方法无法获得可行解,而该方法可以在合理的时间内有效地生成高质量的解。此外,当研究不同机器-能力重叠的影响时,发现在机器-能力重叠较高的情况下,问题的求解将更加复杂。然而,考虑机器的功能可以提高总体布局得分,并消除频繁重新配置的必要性,这是昂贵和耗时的。
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引用次数: 0
Column generation-based matheuristic for pickup and delivery problem with two-dimensional loading 基于列生成的二维装载取货问题数学求解
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-10 DOI: 10.1016/j.cor.2025.107300
Ohhyun Kweon, Byung-In Kim
The pickup and delivery problem (PDP) is a well-known NP-complete problem that aims to minimize route length while satisfying all customer requests. While PDP has traditionally considered one-dimensional loading constraints such as weight, this study addresses more realistic loading constraints by incorporating rectangular items. This study restricted item rotation and reloading by assuming that all the items are too heavy to move. A column generation-based matheuristic is proposed to construct the routing sequence. This is followed by a packing algorithm that includes a mixed-integer linear programming model, a constraint programming model, and an open space-based packing heuristics to verify whether the items can be packed based on the route. Finally, logic-based Benders decomposition was applied to refine the routing sequence. When tested against benchmark instances and compared with a state-of-the-art algorithm, the proposed algorithm performed better.
取货配送问题(PDP)是一个众所周知的np完全问题,其目标是在满足所有客户需求的同时最小化路线长度。虽然PDP传统上考虑一维负载约束,如重量,但本研究通过纳入矩形项目来解决更现实的负载约束。这项研究通过假设所有物品都太重而无法移动,从而限制了物品的旋转和重新加载。提出了一种基于列生成的路由序列构造方法。然后是一个打包算法,该算法包括一个混合整数线性规划模型、一个约束规划模型和一个基于开放空间的打包启发式算法,用于验证物品是否可以根据路线打包。最后,采用基于逻辑的Benders分解对布线序列进行细化。在对基准实例进行测试并与最先进的算法进行比较时,所提出的算法表现更好。
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引用次数: 0
A reinforcement learning-improved genetic algorithm for order reorganization-driven energy-efficient flexible job-shop hybrid batch scheduling towards mass personalized manufacturing 面向大规模个性化制造的高效柔性作业车间混合批调度的强化学习改进遗传算法
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-10 DOI: 10.1016/j.cor.2025.107304
Haiqi Zou , Kaipu Wang , Zhuhao Hou , Yibing Li , Jun Guo , Liang Gao
Within the mass personalized manufacturing context, diverse requirements from high-volume custom orders impart large-scale discrete characteristics to production systems: proliferating product varieties coupled with drastically reduced batch sizes per process type. This introduces substantial complexities through frequent equipment changeovers and production control challenges. To address this, we propose a collaborative optimization framework integrating order reorganization with hybrid batching. A flexible job-shop scheduling model is formulated with dual minimization objectives of makespan and energy consumption. We subsequently develop a reinforcement learning-improved multi-objective genetic algorithm (RLMOGA) featuring: (1) nine neighborhood search strategies integrated into an adaptive action space, (2) Q-learning-driven dynamic operator selection for enhanced optimization efficiency. Extensive comparative experiments validate RLMOGA’s efficacy. In an industrial case study, the methodology achieves 29.20 % makespan reduction and 29.41 % energy savings, demonstrating simultaneous optimization of production efficiency and sustainable manufacturing objectives.
在大规模个性化制造环境中,来自大批量定制订单的不同需求赋予了生产系统大规模离散的特征:产品品种的激增以及每种工艺类型的批量大小的大幅减少。通过频繁的设备更换和生产控制挑战,这带来了实质性的复杂性。为了解决这个问题,我们提出了一个将订单重组与混合批处理相结合的协同优化框架。建立了以最大完工时间和能耗双重最小化为目标的柔性作业车间调度模型。随后,我们开发了一种强化学习改进的多目标遗传算法(RLMOGA),该算法具有:(1)将9个邻域搜索策略集成到自适应动作空间中;(2)q学习驱动的动态算子选择以提高优化效率。大量的对比实验验证了RLMOGA的有效性。在一个工业案例研究中,该方法实现了29.20%的完工时间减少和29.41%的能源节约,同时展示了生产效率和可持续制造目标的优化。
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引用次数: 0
Machine learning-enriched distributionally robust optimization and hybrid decomposition to joint optimization of transportation hub network design and pricing 基于机器学习的分布鲁棒优化与混合分解的交通枢纽网络设计与定价联合优化
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-10 DOI: 10.1016/j.cor.2025.107291
Seyed Ashkan Hosseini Shekarabi , Reza Kiani Mavi , Flavio Romero Macau , Ali Papi , Ashkan Teymouri
Freight transportation within the hub-assisted systems enhances economies of scale for carriers by consolidating logistics operations through central hubs, thereby increasing efficiency and reducing costs. Optimally designing such transportation systems creates competitive advantages for carriers, enabling them to reduce shipping prices and, consequently, capture a larger share of the market from shippers’ demand. This research addresses the joint optimization of intermodal transportation hub network design and pricing decisions under price-dependent and uncertain demand, with the objective of maximizing carrier’s profit. Since the uncertain shipping demand follows a nonlinear relation with price, the carrier not only optimizes shipping network design but also seeks optimal pricing strategies to attract shippers and increase market share. In the studied transportation network, each origin–destination (O-D) freight shipping demand is first routed from its origin to the origin hub (OH); The freight is then transported from the OH to the destination hub (DH), and finally, it is delivered from the DH to its destination. Following the problem setting and formulation, we first construct a data-driven ambiguity set using machine learning algorithms and then develop a two-stage distributionally robust optimization (DRO) model to address shipping demand uncertainty. To enhance computational efficiency, we develop a hybrid solution approach combining machine learning and decomposition (ML-Decomposition). The proposed ML-Decomposition method first partitions the problem into sub-problems focusing on hub network design, freight flow assignment, and pricing. Then, it employs second-order nonlinear regression to determine the optimal price and utilizes Benders-style cutting plane decomposition, along with valid inequalities, to jointly optimize hub network design and flow assignment. Finally, to assess the effectiveness of the proposed ML-Decomposition solution method and evaluate the robustness of DRO model, a comprehensive computational study is conducted on a diverse set of instances, demonstrating the superiority of the proposed methodology. Across these benchmarks, the proposed ML-Decomposition attains up to 19.5 % higher profit and reduces computational time by as much as 79 % compared with off-the-shelf Gurobi solver. Furthermore, the benefit of incorporating pricing decisions is analyzed to derive valuable managerial insights.
枢纽辅助系统内的货物运输通过中央枢纽整合物流操作,从而提高效率并降低成本,从而提高了承运人的规模经济。这种运输系统的最佳设计为承运人创造了竞争优势,使他们能够降低运输价格,从而从托运人的需求中获得更大的市场份额。本文研究了在价格依赖和需求不确定条件下,以承运人利润最大化为目标的多式联运枢纽网络设计与定价决策的联合优化问题。由于不确定的运输需求与价格呈非线性关系,承运人不仅要优化运输网络设计,还要寻求最优的定价策略,以吸引货主,提高市场份额。在研究的运输网络中,每个始发目的地(O-D)货运需求首先从其始发地路由到始发枢纽(OH);然后将货物从OH运输到目的枢纽(DH),最后从DH交付到目的地。根据问题设置和公式,我们首先使用机器学习算法构建一个数据驱动的模糊集,然后开发一个两阶段分布鲁棒优化(DRO)模型来解决航运需求的不确定性。为了提高计算效率,我们开发了一种结合机器学习和分解(ML-Decomposition)的混合解决方案。提出的机器学习分解方法首先将问题划分为关注枢纽网络设计、货流分配和定价的子问题。然后,采用二阶非线性回归确定最优价格,并利用benders式切割平面分解,结合有效不等式,共同优化枢纽网络设计和流量分配。最后,为了评估所提出的ml分解解方法的有效性和评估DRO模型的鲁棒性,在不同的实例集上进行了全面的计算研究,证明了所提出方法的优越性。在这些基准测试中,与现成的Gurobi求解器相比,所提出的ML-Decomposition的利润提高了19.5%,计算时间减少了79%。此外,纳入定价决策的好处进行了分析,以获得有价值的管理见解。
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引用次数: 0
An adaptive and efficient path planning algorithm for UAV navigation in complex environments 复杂环境下无人机导航的自适应高效路径规划算法
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-09 DOI: 10.1016/j.cor.2025.107296
Yonggang Wang , Guoliang Wang
Efficient and reliable path planning is critical for autonomous unmanned aerial vehicle (UAV) navigation in complex environments, including urban obstacle fields and sensor-restricted airspaces. This paper proposes the rapidly converging and greedy-optimized RRT* (RGO-RRT*) algorithm, which integrates four adaptive modules to enhance planning performance. These include: (1) region-based probabilistic sampling that prioritizes high-potential regions to reduce redundant exploration and accelerate convergence; (2) adaptive step-size adjustment based on obstacle density for fine maneuverability in cluttered areas and rapid expansion in open spaces; (3) dynamic goal biasing that gradually increases goal attraction to balance exploration and convergence; and (4) an improved artificial potential field with an adaptive repulsion model to mitigate local minima and ensure smoother trajectories. Additionally, three auxiliary strategies — bidirectional tree expansion, greedy optimization, and feasibility constraints-are employed to further refine path quality and search efficiency. Extensive simulations are conducted in four structurally diverse environments to evaluate performance under various levels of obstacle density and geometric complexity. Results show that RGO-RRT* consistently outperforms five benchmark algorithms (RRT*, Bi-RRT*, APF-RRT*, Bi-APF-RRT*, and Improved Bi-APF-RRT*), achieving up to 83.1% fewer iterations, 11.7% shorter path lengths, and 87.9% reduction in planning time. These findings demonstrate the method’s robustness, efficiency, and applicability to UAV navigation in cluttered scenarios.
高效、可靠的路径规划对于自主无人机(UAV)在复杂环境下的导航至关重要,包括城市障碍物场和传感器受限空域。本文提出了快速收敛贪婪优化RRT* (RGO-RRT*)算法,该算法集成了四个自适应模块,提高了规划性能。这包括:(1)基于区域的概率抽样,优先考虑高潜力区域,以减少冗余勘探并加速收敛;(2)基于障碍物密度的自适应步长调整,在杂乱区域具有良好的机动能力,在开放空间具有快速扩张能力;(3)动态目标偏置,逐渐增加目标吸引力,平衡探索与收敛;(4)基于自适应斥力模型的改进人工势场,以减小局部极小值,保证轨迹平滑。此外,还采用了双向树展开、贪婪优化和可行性约束三种辅助策略来进一步优化路径质量和搜索效率。在四种不同结构的环境中进行了大量的模拟,以评估不同水平障碍物密度和几何复杂性下的性能。结果表明,RGO-RRT*持续优于5种基准算法(RRT*、Bi-RRT*、APF-RRT*、Bi-APF-RRT*和Improved Bi-APF-RRT*),迭代次数减少83.1%,路径长度缩短11.7%,规划时间减少87.9%。这些结果证明了该方法的鲁棒性、有效性和对无人机在混乱场景下导航的适用性。
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引用次数: 0
The stochastic and dynamic inventory routing problem with fine time granularity: A reinforcement learning approach 细时间粒度随机动态库存路径问题:一种强化学习方法
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-09 DOI: 10.1016/j.cor.2025.107298
Felipe Lagos
Reinforcement learning (RL) is an approach in which machines solve learning problems effectively, evaluating designs through mathematical analysis or computational experiments. In this work, we apply and extend these RL methods to the inventory routing problem (IRP), a problem that integrates inventory management with vehicle routing and delivery scheduling decisions over several periods. We present a new problem, the stochastic and dynamic IRP with fine time granularity (SDIRPFG), in which the agent must make real-time plan revisions under uncertainty, with time periods representing a fine time discretization. Information on customer inventory levels is provided to the agent, who makes delivery and routing decisions, changing or adjusting the current plan in place to handle events that arise during the operation. We propose benchmark policies for the SDIRPFG, myopic, rollout and cost function approximation (CFA) policies, and we also present online Monte Carlo (MC) control methods with value function approximations (VFAs). For the last method, we propose new learning methodologies and approximations. In particular, we introduce function approximations using Fourier bases, an interpretable approximation barely studied in the literature. In an extensive computational study, including synthetic and real-world instances, we test our policies, methods, and VFAs. We study the convergence of objective functions, provide guidelines on how to use our methods, and report SDIRPFG insights and characteristics. Using cost functions that we can plot, we show that our VFA is interpretable.
强化学习(RL)是一种机器有效解决学习问题的方法,通过数学分析或计算实验来评估设计。在这项工作中,我们将这些RL方法应用并扩展到库存路线问题(IRP),这是一个将库存管理与车辆路线和交付调度决策集成在一起的问题。我们提出了一个新的问题,随机动态细时间粒度IRP (SDIRPFG),其中agent必须在不确定的情况下进行实时的计划修正,其时间段代表一个精细的时间离散化。有关客户库存水平的信息提供给代理,代理做出交付和路由决策,更改或调整当前计划,以处理操作过程中出现的事件。我们提出了SDIRPFG,近视,推出和成本函数近似(CFA)策略的基准策略,并且我们还提出了具有值函数近似(VFAs)的在线蒙特卡罗(MC)控制方法。对于最后一种方法,我们提出了新的学习方法和近似。特别地,我们引入了使用傅里叶基的函数近似,这是一种在文献中几乎没有研究过的可解释近似。在广泛的计算研究中,包括合成和现实世界的实例,我们测试了我们的策略、方法和vfa。我们研究了目标函数的收敛性,提供了如何使用我们的方法的指南,并报告了SDIRPFG的见解和特征。使用我们可以绘制的成本函数,我们表明我们的VFA是可解释的。
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引用次数: 0
The obnoxious facilities p-center problem with forbidden regions 令人讨厌的设施p中心问题与禁区
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-08 DOI: 10.1016/j.cor.2025.107297
Pawel Kalczynski, Zvi Drezner
We formulate a planar obnoxious p-center problem with circular forbidden regions, such as a minimum required distance from some or all the demand points. We use geometric computation to develop a tight lower bound on the optimal value of the objective function and propose solution techniques which yield optimal solutions to several multiple large-scale tsplib instances in less than few hours’ time. We observe that, for larger forbidden regions, the obnoxious p-center problem reaches the best possible overall objective for a relatively small number of facilities. Our proposed solution approach is particularly useful in instances with multiple overlapping forbidden regions.
我们构造了一个具有圆形禁止区域的平面讨厌p中心问题,例如到某些或所有需求点的最小所需距离。我们利用几何计算建立了目标函数最优值的紧下界,并提出了在几个小时内得到多个大规模tsplib实例最优解的求解技术。我们观察到,对于较大的禁止区域,令人讨厌的p中心问题达到了相对少量设施的最佳可能总体目标。我们提出的解决方法在具有多个重叠禁止区域的情况下特别有用。
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引用次数: 0
Integrating the physical and digital strategies for supplier: the role of offline showroom and augmented reality experiences 整合供应商的实体和数字策略:线下展厅和增强现实体验的作用
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-05 DOI: 10.1016/j.cor.2025.107294
Zhitang Li , Benjamin Lev
As the retail landscape evolves with the rise of digital technologies, the fusion of online and offline experiences is becoming a key strategy for businesses seeking to enhance customer engagement. This study examines the evolving dynamics of Online-to-Offline (O2O) retail, focusing on the integration of offline showroom experience services and online Augmented Reality (AR) endorsements. Offline showrooms allow consumers to evaluate products physically, while AR services provide immersive online experiences. Our findings highlight several interesting yet challenging insights. First, suppliers may shift from single-channel strategies to integrated interaction-based services when both showroom and AR effects are strong; however, when AR effects are weaker, offline showrooms become more dominant. Second, both offline and AR services stimulate respective service investments and improve supplier profitability, revealing the dual role of these channels as both substitutes and complements. Third, suppliers are more likely to pursue integration strategies when integration costs are low, but intriguingly, they may still integrate even under high costs if the interactive benefits are sufficiently large. Finally, pricing and service quality differentiation across channels illustrate the strategic difficulty of maintaining consistency in omnichannel environments. This research underscores the importance of balancing AR and showroom services, with integration offering strategic advantages for businesses like Apple Inc., especially when backed by strong financial resources to support higher integration costs.
随着数字技术的兴起,零售领域也在不断发展,线上和线下体验的融合正成为企业寻求提高客户参与度的关键战略。本研究考察了线上到线下(O2O)零售的发展动态,重点关注线下展厅体验服务和线上增强现实(AR)代言的整合。线下展厅可以让消费者亲自评估产品,而增强现实服务则提供身临其境的在线体验。我们的发现突出了几个有趣但具有挑战性的见解。首先,当展厅效应和增强现实效应都很强时,供应商可能会从单一渠道战略转向基于集成交互的服务;然而,当AR效果较弱时,线下展厅就会占据主导地位。其次,线下和AR服务都刺激了各自的服务投资,提高了供应商的盈利能力,揭示了这些渠道既是替代渠道又是补充渠道的双重作用。第三,当整合成本较低时,供应商更有可能采取整合策略,但有趣的是,即使在高成本下,如果互动效益足够大,供应商仍可能进行整合。最后,跨渠道的定价和服务质量差异说明了在全渠道环境中保持一致性的战略困难。这项研究强调了平衡AR和展厅服务的重要性,整合为苹果公司等企业提供了战略优势,特别是在强大的财务资源支持更高整合成本的情况下。
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引用次数: 0
On-demand meal delivery: Drone scheduling with battery replacement optimization 按需送餐:优化电池更换的无人机调度
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-04 DOI: 10.1016/j.cor.2025.107295
Wenqian Liu , Yandong He , Ginger Y. Ke , Lianmin Zhang
Drones have become a promising solution for on-demand delivery thanks to their ability to travel fast and navigate without road restrictions. In the context of direct meal delivery using drones, it is a common practice to replace the drone’s battery after each round trip between the central launch site and customer locations to prevent power interruptions. This practice can lead to frequent battery replacements, resulting in increased downtime and decreased drone utilization. To enhance the efficiency of drone delivery, we take into account load-dependent energy consumption for the drones and optimize battery replacement along with drone scheduling. A mixed integer programming formulation is constructed to mathematically capture the problem. Additionally, we develop a time-expanded network flow method and a tailored hybrid variable neighborhood search algorithm to solve the problem exactly and heuristically. Computational studies validate the effectiveness and efficiency of the proposed operational model and solution approaches. The results indicate that optimizing battery replacement can induce an increase in on-time deliveries by up to 7.69% compared to replacing batteries after each return, and by 14.29% compared to only replacing them when energy levels are low. Such benefits are particularly significant in scenarios with tighter delivery deadlines and longer battery replacement times.
无人机已经成为按需送货的一种很有前途的解决方案,因为它们能够快速飞行,而且不受道路限制。在使用无人机直接送餐的情况下,通常的做法是在中心发射点和客户地点之间的每次往返后更换无人机的电池,以防止电源中断。这种做法可能导致频繁更换电池,从而增加停机时间,降低无人机利用率。为了提高无人机的配送效率,我们考虑了无人机的负载相关能耗,并在无人机调度的同时优化了电池更换。构造了一个混合整数规划公式来从数学上捕捉问题。此外,我们还开发了一种时间扩展的网络流方法和一种定制的混合变量邻域搜索算法来精确地启发式地解决问题。计算研究验证了所提出的操作模型和解决方法的有效性和效率。结果表明,与每次返回后更换电池相比,优化电池更换可以使准时交货率提高7.69%,与仅在能量水平较低时更换电池相比,准时交货率提高14.29%。在交货期限较紧、电池更换时间较长的情况下,这种好处尤为显著。
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引用次数: 0
Mitigating choice model ambiguity: A consensus framework and its application to assortment optimization 减轻选择模型歧义:共识框架及其在分类优化中的应用
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-04 DOI: 10.1016/j.cor.2025.107264
Öykü Naz Attila, Sanjay Dominik Jena, Walter Rei
Discrete choice models have become a popular tool to accurately predict complex choice behavior. Due to a variety of possible error sources, estimated choice models tend to be subject to ambiguity, inducing different optimal decisions of highly varying quality. This study aims at mitigating choice model ambiguity associated with a given set of models in terms of their ability to yield optimal decisions. We propose a framework and a set of performance metrics to assess the reliability of choice models and their induced decisions. The use of this framework is then exemplified in the context of rank-based choice models for assortment optimization. Extensive sets of numerical results suggest that our proposed approaches indeed allow decision-makers to identify choice models that are likely to produce high quality decisions, boosting confidence in using choice models in practice. While robust optimization on the original set of choice models tends to be rather conservative, we then use the proposed metrics to reduce the size of the ambiguity set, allowing us to improve the expected assortment quality and the overall downside risk. Given the practical usefulness of robust optimization in this context, we further propose a decomposition algorithm, solving the optimization problem in a fraction of the original time and revealing that only a few among a large set of choice models are determinant in optimal robust solutions.
离散选择模型已经成为一个流行的工具,以准确地预测复杂的选择行为。由于各种可能的误差来源,估计的选择模型往往会产生歧义,从而产生质量参差不齐的不同最优决策。本研究旨在减轻与一组给定模型相关的选择模型歧义,以产生最佳决策的能力。我们提出了一个框架和一套性能指标来评估选择模型及其诱导决策的可靠性。然后在基于等级的分类优化选择模型的背景下举例说明该框架的使用。大量的数值结果表明,我们提出的方法确实允许决策者识别可能产生高质量决策的选择模型,增强在实践中使用选择模型的信心。虽然对原始选择模型集的鲁棒优化倾向于相当保守,但我们随后使用建议的度量来减少歧义集的大小,使我们能够提高预期的分类质量和整体的下行风险。考虑到鲁棒优化在这种情况下的实际用途,我们进一步提出了一种分解算法,在原始时间的一小部分内解决优化问题,并揭示了在大量选择模型中只有少数选择模型在最优鲁棒解中是决定性的。
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引用次数: 0
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Computers & Operations Research
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