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Group-scheduling with simultaneous learning effects and convex resource allocations 具有同步学习效应和凸资源分配的群调度
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-12-03 DOI: 10.1016/j.orp.2025.100370
Xue Huang , Hongyu He , Hong-Bin Bei , Yanzhi Zhao , Ning Wang , Yu Chang
In this article, we investigate the resource allocations group-scheduling with position-based learning effects. Under a single-machine, the purpose is to determine an optimal group sequence, job sequence within each group, and convex resource allocations (i.e., second partial derivatives of resources are not negative) assigned to the jobs. For the total resource consumption minimization with limited makespan constraint, we certify that the problem is polynomially solvable for some special situations. For the general situation, we establish a heuristic and a branch-and-bound algorithm. Computation experiments are given to test the effectiveness of solution algorithms. The proposed model can be probably applied to green manufacturing scenarios, supporting sustainable production by considering controllable processing time.
本文研究了具有位置学习效应的资源分配群调度问题。在单机情况下,目的是确定最优的组序列、每组内的作业序列以及分配给作业的凸资源分配(即资源的二阶偏导数不为负)。对于有限完工时间约束下的总资源消耗最小化问题,我们证明了在某些特殊情况下问题是多项式可解的。针对一般情况,建立了启发式算法和分支定界算法。通过计算实验验证了求解算法的有效性。该模型可以应用于绿色制造场景,通过考虑加工时间可控来支持可持续生产。
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引用次数: 0
The Robust Steiner Team Orienteering Problem with Decreasing Priorities under budgeted uncertainty 预算不确定性下优先级递减的鲁棒斯坦纳团队定向问题
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-06-28 DOI: 10.1016/j.orp.2025.100344
Lucas Assunção, Andréa Cynthia Santos
Post-disaster relief operations have gained attention over the past decade, focusing on enhancing resilience in labor and social environments. This work introduces the Robust Steiner Team Orienteering Problem with Decreasing Priorities (R-STOP-DP) to model emergency rescue operations where several locations might need relief shuttles, but exact demands cannot be foreseen. R-STOP-DP is a variation of the vehicle routing problem with location priorities that applies robust optimization to model the variability on service times incurred by visiting locations. Locations are sub-divided into mandatory and optional, being the latter linked to priorities that linearly decrease over time. The goal is to find robust feasible routes maximizing the priorities collected, while considering the worst-case conditions of service times within an uncertainty budget and a routes’ duration limit. We propose two compact formulations – reinforced by valid inequalities adapted from the literature – and solve them in a cut-and-branch fashion. In addition, we propose a kernel search mat-heuristic and a simulated annealing heuristic. Computational experiments suggest the strict dominance of one formulation, improving dual bounds by 12.29% on average over the 360 instances tested. The cut-and-branch algorithm based on the stronger model also stands out, solving 20 more instances than the other. The simulated annealing heuristic obtains a remarkable performance by improving over and/or reaching the best-known bounds for the complete benchmark, within an average execution time of 2.52 s. In turn, the kernel search mat-heuristic reaches or improves the bounds for 81% of the instances within 4.5 min of average running time.
在过去的十年里,灾后救援工作受到了人们的关注,重点是提高劳动力和社会环境的复原力。这项工作引入了鲁棒斯坦纳团队定向问题与降低优先级(R-STOP-DP)来模拟紧急救援行动,其中几个地点可能需要救援航天飞机,但确切的需求无法预见。R-STOP-DP是具有位置优先级的车辆路线问题的一种变体,它应用鲁棒优化来模拟由于访问位置而引起的服务时间的变化。地点被细分为强制性和可选性,后者与随时间线性减少的优先级相关。目标是在考虑不确定预算和路线持续时间限制的最坏情况下,找到最大限度地提高所收集的优先级的鲁棒可行路线。我们提出了两个紧凑的公式-通过从文献中改编的有效不等式加强-并以切割和分支的方式解决它们。此外,我们还提出了一种核搜索启发式算法和模拟退火启发式算法。计算实验表明一个公式的严格优势,在360个测试实例中平均提高了12.29%的对偶边界。基于更强模型的切断和分支算法也很突出,比其他算法多解决了20个实例。模拟退火启发式算法在平均2.52秒的执行时间内,通过改进和/或达到完整基准的最知名界限,获得了显着的性能。反过来,内核搜索算法在平均运行时间的4.5分钟内达到或改进了81%的实例的边界。
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引用次数: 0
An enhanced tabu search algorithm for resource-constrained project scheduling with a flexible project structure 基于柔性项目结构的资源约束项目调度改进禁忌搜索算法
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-07-23 DOI: 10.1016/j.orp.2025.100349
Chunlai Yu, Xiaoming Wang, Qingxin Chen
In this paper we consider the resource-constrained project scheduling problem with a flexible project structure and continuous activity durations. A mathematical model based on the resource-flow formulation is developed to tackle this problem. Due to the NP-hard nature of the problem, this mathematical model can only be used to find the optimal solution to small-scale problems. To address this issue, an enhanced tabu search algorithm is proposed, which utilizes an outer loop for activity selection and an inner loop for activity sequencing. The algorithm introduces several innovative features, including the integration of filtering, elite, and perturbation strategies, as well as new neighborhood operators. The parameters of the algorithm are calibrated using orthogonal experiments, and its efficacy is evaluated through extensive computational experiments conducted on multiple benchmark datasets. The results indicate that the proposed tabu search algorithm not only performs significantly better and more stable than existing metaheuristics, but also surpasses the performance of the traditional mathematical model based on rounded durations.
研究了具有柔性项目结构和连续工期的资源约束项目调度问题。为了解决这一问题,建立了一个基于资源流公式的数学模型。由于问题的NP-hard性质,该数学模型只能用于寻找小规模问题的最优解。为了解决这一问题,提出了一种增强的禁忌搜索算法,该算法利用外循环进行活动选择,内循环进行活动排序。该算法引入了几个创新的特征,包括过滤、精英和扰动策略的集成,以及新的邻域算子。通过正交实验对算法的参数进行校准,并通过在多个基准数据集上进行大量的计算实验来评估算法的有效性。结果表明,本文提出的禁忌搜索算法不仅比现有的元启发式算法性能更好、更稳定,而且优于基于舍入持续时间的传统数学模型的性能。
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引用次数: 0
Reinforcement learning for solving the pricing problem in column generation for routing 用于解决路由列生成中定价问题的强化学习
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-11-12 DOI: 10.1016/j.orp.2025.100364
Abdo Abouelrous , Laurens Bliek , Adriana F. Gabor , Yaoxin Wu , Yingqian Zhang
In this paper, we address the problem of Column Generation (CG) for routing problems using Reinforcement Learning (RL). Specifically, we use a RL model based on the attention-mechanism architecture to find the columns with most negative reduced cost in the Pricing Problem (PP). Unlike previous Machine Learning (ML) applications for CG, our model deploys an end-to-end mechanism that independently solves the pricing problem without the help of any heuristic. We consider a variant of Vehicle Routing Problem (VRP) as a case study for our method. Through a series of experiments comparing our approach with a Dynamic Programming (DP)-based heuristic for solving the PP, we demonstrate that the proposed method obtains solutions for the linear relaxation up to a reasonable objective gap and significantly faster than the DP-based heuristic for the PP.
在本文中,我们使用强化学习(RL)解决了路由问题的列生成(CG)问题。具体来说,我们使用基于注意力机制架构的RL模型来寻找定价问题(PP)中负降低成本最多的列。与以前的CG机器学习(ML)应用程序不同,我们的模型部署了一个端到端机制,可以独立解决定价问题,而无需任何启发式的帮助。我们考虑了车辆路径问题(VRP)的一个变体作为我们方法的案例研究。通过与基于动态规划(DP)的启发式方法求解PP的一系列实验比较,我们证明了所提出的方法在合理的客观间隙内获得线性松弛的解,并且比基于DP的启发式方法求解PP的速度快得多。
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引用次数: 0
Improving the robustness of retail workforce management with a labor flexibility strategy and consideration of demand uncertainty 基于劳动力灵活性策略和需求不确定性的零售劳动力管理稳健性研究
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-06-28 DOI: 10.1016/j.orp.2025.100345
Andrés Felipe Porto , Amaia Lusa , Sebastián A. Herazo , César Augusto Henao
This article examines the challenge of personnel scheduling problem by incorporating a labor flexibility approach that integrates annualized hours, multiskilled employees, and overtime within an uncertain demand environment. To address this problem, a two-stage stochastic optimization model is developed to determine the optimal workforce size, structure a targeted training program using a 2-chaining approach, and allocate weekly working hours, both regular and overtime, while explicitly considering demand variability. The proposed approach is assessed through multiple experiments to analyze the impact of incorporating multiskilling and different levels of demand fluctuations. Furthermore, the workforce configuration—comprising staff size and training structure— resulting from the stochastic model is compared with that obtained using a deterministic framework. The findings indicate that the stochastic model yields more robust and cost-effective solutions under demand uncertainty, significantly reducing training costs and minimizing expected labor costs related to overstaffing, understaffing, and wages. Additionally, the results reinforce the synergistic relationship between multiskilling and overtime in mitigating workforce imbalances caused by demand uncertainty. Finally, this research offers strategic insights for managers in retail and service industries aiming to optimize workforce planning and adaptability while maintaining cost efficiency in the face of fluctuating and uncertain demand.
本文通过结合劳动力灵活性方法,在不确定的需求环境中集成年工时、多技能员工和加班时间,来研究人员调度问题的挑战。为了解决这个问题,开发了一个两阶段随机优化模型,以确定最佳劳动力规模,使用2链方法构建有针对性的培训计划,并分配每周工作时间(包括常规和加班),同时明确考虑需求变化。通过多次实验来评估所提议的方法,以分析将多技能和不同水平的需求波动结合起来的影响。此外,将随机模型产生的劳动力配置(包括员工规模和培训结构)与使用确定性框架获得的劳动力配置进行比较。研究结果表明,在需求不确定的情况下,随机模型产生了更稳健和更具成本效益的解决方案,显著降低了培训成本,并最大限度地降低了与人员过剩、人员不足和工资相关的预期劳动力成本。此外,研究结果强化了多技能和加班之间的协同关系,以缓解需求不确定性引起的劳动力失衡。最后,本研究为零售和服务行业的管理者提供了战略见解,旨在优化劳动力规划和适应性,同时在面对波动和不确定的需求时保持成本效率。
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引用次数: 0
A systematic review of machine learning approaches in inventory control optimization 库存控制优化中机器学习方法的系统综述
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-11-19 DOI: 10.1016/j.orp.2025.100367
Ritsaart Bergsma , Corné de Ruijt , Sandjai Bhulai
This systematic review investigates the applications of machine learning (ML) in inventory control, analyzing 122 articles to provide a comprehensive overview of the state of the art and identify future research directions. The study proposes a typology to classify the integration of ML into the inventory optimization framework, distinguishing three primary approaches: (1) separate estimation and optimization, where ML is applied to demand forecasting before optimization, (2) static ML-integrated optimization, where ML is directly embedded into optimization models, and (3) dynamic ML-integrated optimization, where reinforcement learning (RL) is employed to derive optimal inventory policies. The findings highlight that while RL applications are gaining prominence, significant research gaps remain, particularly in scaling algorithms to real-world problems, handling large action spaces, and developing RL algorithms that are tailored to inventory control. The review also assesses the operational dynamics of inventory systems addressed in the literature, such as single/multi-item models, lead time assumptions, and echelon structures. Underexplored areas include stochastic lead times, complementary items, quantity discounts, product obsolescence, and multi-echelon networks. The study concludes by outlining key research gaps and offering directions for future research to advance the integration of ML in inventory control.
本系统综述调查了机器学习(ML)在库存控制中的应用,分析了122篇文章,以提供最新技术的全面概述并确定未来的研究方向。该研究提出了一种分类方法,将机器学习集成到库存优化框架中,区分出三种主要方法:(1)单独的估计和优化,其中机器学习应用于优化前的需求预测;(2)静态机器学习集成优化,其中机器学习直接嵌入到优化模型中;(3)动态机器学习集成优化,其中使用强化学习(RL)来推导最优库存策略。研究结果强调,虽然强化学习的应用越来越突出,但仍存在重大的研究差距,特别是在将算法扩展到现实世界问题、处理大型动作空间以及开发针对库存控制的强化学习算法方面。本文还评估了文献中提到的库存系统的运行动态,如单/多项目模型、交货时间假设和梯队结构。未开发的领域包括随机交货时间、互补项目、数量折扣、产品过时和多层网络。该研究总结了关键的研究差距,并为未来的研究提供了方向,以推进机器学习在库存控制中的整合。
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引用次数: 0
Cross-border multi-level warehouse network optimization: Modeling and application based on mixed-integer linear programming 跨境多层次仓库网络优化:基于混合整数线性规划的建模与应用
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-11-19 DOI: 10.1016/j.orp.2025.100366
Yun Gu
With the rapid development of global trade and cross-border e-commerce, optimizing cross-border multi-level warehouse networks has become a critical challenge to enhance supply chain efficiency and reduce operational costs. Traditional logistics planning methods struggle to address complex multi-level network structures, heterogeneous big data, and multi-dimensional influencing factors. This study proposes a mixed-integer linear programming model based on real-world operational requirements to optimize the layout of cross-border multi-level warehouse networks. The model integrates transportation costs, warehousing costs, tariff costs, and service lead time as key considerations. Through the incorporation of heuristic constraints and relaxation strategies, the model significantly improves computational efficiency and stability. Experimental results using real data from a cross-border e-commerce enterprise demonstrate that compared to existing solutions, the MILP model reduces total costs by 20.7 %, outperforms heuristic algorithms by >8 %, achieves faster computational speed, and maintains stable results. Furthermore, in 16 perturbation experiments, the model retained optimal solutions in 15 instances, showcasing strong robustness. This research provides critical theoretical and practical guidance for the scientific planning of cross-border logistics networks.
随着全球贸易和跨境电子商务的快速发展,优化跨境多层次仓储网络已成为提高供应链效率和降低运营成本的关键挑战。传统的物流规划方法难以解决复杂的多层次网络结构、异构的大数据和多维的影响因素。本文提出了一种基于实际操作需求的混合整数线性规划模型,用于优化跨境多层次仓库网络的布局。该模型将运输成本、仓储成本、关税成本和服务交付时间作为关键考虑因素。通过引入启发式约束和松弛策略,该模型显著提高了计算效率和稳定性。利用某跨境电子商务企业的真实数据进行的实验结果表明,与现有的解决方案相比,MILP模型的总成本降低了20.7%,比启发式算法高8%,计算速度更快,结果保持稳定。此外,在16个扰动实验中,模型在15个实例中保留了最优解,显示出较强的鲁棒性。本研究为跨境物流网络的科学规划提供了重要的理论和实践指导。
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引用次数: 0
Adaptive hybrid optimization for integrated project scheduling and staffing problem with time/resource trade-offs 具有时间/资源权衡的综合项目调度和人员配置问题的自适应混合优化
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-06-25 DOI: 10.1016/j.orp.2025.100346
Muhai Hu , Yao Wang , Wendi Tian
The integration of project scheduling and human resource allocation is crucial in modern project management, particularly in complex and resource-constrained environments. This study addresses the Integrated Project Scheduling and Personnel Staffing Problem (IPSPSP) with time/resource trade-offs by proposing a dual-objective optimization model that minimizes both project duration and personnel cost. To solve this problem, we introduce an adaptive hybrid algorithm combining the Non-dominated Sorting Genetic Algorithm II (NSGA-II) and Multi-Objective Particle Swarm Optimization (MOPSO). The algorithm employs hybrid encoding for activity modes, activity priority lists and personnel allocation plans, coupled with a hypervolume-based adaptive search mechanism to improve solution quality. Experimental results demonstrate that the adaptive hybrid algorithm outperforms standalone NSGA-II and MOPSO in generating schedules and optimizing resource allocation. This study makes significant contributions by presenting a novel integrated model tailored for projects, an effective adaptive hybrid optimization algorithm and a comprehensive performance evaluation, thereby advancing the field of integrated scheduling and staffing in project management.
在现代项目管理中,特别是在复杂和资源受限的环境中,项目调度和人力资源配置的整合是至关重要的。本研究通过提出一个双目标优化模型来解决时间/资源权衡的综合项目调度和人员配备问题(IPSPSP),该模型可以最小化项目持续时间和人员成本。为了解决这一问题,我们引入了一种结合非支配排序遗传算法(NSGA-II)和多目标粒子群优化(MOPSO)的自适应混合算法。该算法采用混合编码对活动模式、活动优先级列表和人员分配计划进行编码,并结合基于hypervolume的自适应搜索机制提高求解质量。实验结果表明,自适应混合算法在调度生成和资源优化分配方面优于独立的NSGA-II和MOPSO算法。本研究提出了一种针对项目的新型集成模型、一种有效的自适应混合优化算法和一种全面的绩效评估方法,从而推动了项目管理中集成调度与人员配置领域的发展。
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引用次数: 0
Unified tail assignment and maintenance task scheduling: A decision support framework for improved efficiency and stability 统一的机尾分配和维护任务调度:提高效率和稳定性的决策支持框架
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-11-19 DOI: 10.1016/j.orp.2025.100363
Luigi Pescio, Marta Ribeiro, Bruno F. Santos
Flight and maintenance scheduling pose conflicting objectives: while maintenance is vital for ensuring aircraft airworthiness, it comes at the cost of taking aircraft out of operation. In current operations, airlines manually handle tail assignment and maintenance task scheduling separately, missing an opportunity to strike a better balance. This division leads to wasted maintenance resources, restricted fleet availability for schedule flexibility, inconsistent planning, and neglect of schedule resilience. This study presents a novel approach that integrates tail assignment and maintenance scheduling into a unified decision-support framework. An integer program, tailored to meet airline-specific requirements and constraints, is combined with an innovative time-space network (TSN). The TSN incorporates two distinct spaces for maintenance and network activities. The primary objective is to generate feasible plans that increase schedule efficiency (i.e., no cancellations, high fleet availability, high fleet health, and optimal use of maintenance resources) and schedule stability (i.e., limited number of late arrival disruptions during operations) the day before operation. Additionally, this framework addresses overlooked aspects in the literature: it treats maintenance tasks as variable interval activities based on aircraft-specific needs, departing from the traditional fixed interval approach. The performance of the framework is tested with real-data provided by a major European single hub-to-spoke airline, with a heterogeneous fleet of over 50 wide-body aircraft. Historical data from arrival delays is used to create robust buffers that mitigate delay propagation. A 17% reduction in maintenance time was achieved compared to the airline’s current plans, resulting in a 10% increase in fleet availability on the day of operations. This improvement is attributed to higher labour and task interval utilization, indicating the framework’s superior efficiency in scheduling maintenance tasks. Lastly, the framework produced plans more resilient to arrival delays, reducing the number of disruptions and delay propagation over 40%. This framework can be used as a decision-support tool for airlines, enabling the creation of schedules that are both robust against delays and optimized for fleet utilization.
飞行和维修计划带来了相互冲突的目标:虽然维修对确保飞机适航至关重要,但它的代价是让飞机停止运行。在目前的操作中,航空公司手动处理机尾分配和维修任务调度,失去了一个更好地平衡的机会。这种划分导致浪费维护资源,限制机队对时间表灵活性的可用性,不一致的计划,以及忽视时间表弹性。本研究提出了一种将机尾分配和维修计划整合到统一决策支持框架中的新方法。为满足航空公司的特定要求和限制而量身定制的整数方案与创新的时空网络(TSN)相结合。TSN包含两个不同的空间,用于维护和网络活动。主要目标是生成可行的计划,以提高运行前一天的调度效率(即无取消、高机队可用性、高机队健康状况和维护资源的最佳使用)和调度稳定性(即运行期间延迟到达中断的数量有限)。此外,该框架解决了文献中被忽视的方面:它将维护任务视为基于飞机特定需求的可变间隔活动,与传统的固定间隔方法不同。该框架的性能通过欧洲一家大型单一枢纽到辐航空公司提供的真实数据进行了测试,该航空公司拥有50多架宽体飞机的异构机队。来自到达延迟的历史数据用于创建鲁棒缓冲器,以减轻延迟传播。与航空公司目前的计划相比,维修时间减少了17%,从而使运营当天的机队可用性增加了10%。这种改进归因于更高的劳动力和任务间隔利用率,表明该框架在调度维护任务方面具有更高的效率。最后,该框架制定的计划对到达延迟更具弹性,将中断和延迟传播的数量减少了40%以上。该框架可以用作航空公司的决策支持工具,使其能够创建既能抵御延误又能优化机队利用率的时间表。
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引用次数: 0
A Probabilistic and adaptive strategy for the newsvendor problem with periodic demand 具有周期性需求的报贩问题的概率自适应策略
IF 3.7 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2025-12-01 Epub Date: 2025-11-12 DOI: 10.1016/j.orp.2025.100365
Hui Yu , Yu Gong , Xiaoli Yan
The newsvendor problem with periodic demand (PFNV) is a common and significant challenge in practice, where traditional methods such as optimization, statistical analysis, and artificial intelligence often struggle to balance effectiveness and operability. We propose the Probability-based Adaptive Strategy (PAS) for the PFNV problem, which formulates decisions through the dual reference points and probabilities. The decision-making process comprises four steps that simulate human behavior based on bounded rationality. The design of reference points is data-driven, using either a linear method or a multi-armed bandit (MAB), while probability calculation is guided by an optimization objective that reflects human regret psychology. The final decision is made through either a random sampling (RS) or an expectation construction (EC) scheme. Experiments with both simulated and real-world data show that PAS effectively captures periodic trends in both stable and volatile datasets. The PAS combining classification, MAB, and the EC scheme performs better in average cost in most cases, while other variants exhibit different characteristics under varying conditions. Compared with several benchmarks, PAS demonstrates potential for cost optimization in certain scenarios while maintaining both operability and interpretability.
具有周期性需求的报贩问题(PFNV)在实践中是一个常见而重大的挑战,传统的方法如优化、统计分析和人工智能往往难以平衡有效性和可操作性。针对PFNV问题,提出了基于概率的自适应策略(Probability-based Adaptive Strategy, PAS),该策略通过双重参考点和概率来制定决策。决策过程包括四个步骤,模拟基于有限理性的人类行为。参考点的设计是数据驱动的,采用线性法或多臂强盗法(MAB),而概率计算则以反映人类后悔心理的优化目标为指导。通过随机抽样(RS)或期望构造(EC)方案做出最终决定。模拟和真实数据的实验表明,PAS有效地捕获了稳定和不稳定数据集的周期性趋势。结合分类、MAB和EC方案的PAS在大多数情况下的平均成本表现较好,而其他变体在不同条件下表现出不同的特征。与几个基准相比,PAS显示了在某些情况下成本优化的潜力,同时保持了可操作性和可解释性。
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引用次数: 0
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