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Optimizing task assignment and routing operations with a heterogeneous fleet of unmanned aerial vehicles for emergency healthcare services 利用异构无人机队优化任务分配和路由操作,以提供紧急医疗服务
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-06 DOI: 10.1016/j.cor.2024.106890
Ziru Lin , Xiaofeng Xu , Emrah Demir , Gilbert Laporte
This paper studies the optimization of task assignment and pickup and delivery operations using a heterogeneous fleet of unmanned aerial vehicles (UAVs). We specifically address the distribution of emergency medical supplies, including medications, vaccines, and essential medical aid, as well as the collection of biological blood samples for testing and analysis. Unique challenges, such as supply shortages, time windows, and geographical considerations, are explicitly taken into account. The problem is first formulated as a mixed-integer linear programming model aimed at maximizing the total profit derived from the execution of a set of emergency healthcare pickup and delivery tasks. An enhanced Q-learning-based adaptive large neighborhood search (QALNS) is proposed for large-scale benchmark instances. QALNS exhibits a superior performance on benchmark instances. It also improves the quality of the solutions on average by 5.49% and 6.86% compared to the Gurobi solver and a state-of-the-art adaptive large neighborhood search algorithm, respectively. Sensitivity analyses are performed on critical factors contributing to the performance of the QALNS algorithm, such as the learning rate and the discount indicator. Finally, we provide managerial insights on the use of the fleet of UAVs and the design of the network.
本文研究了利用异构无人机(UAV)优化任务分配和取送操作的问题。我们特别讨论了紧急医疗用品(包括药品、疫苗和基本医疗救助)的分发,以及生物血液样本的采集与分析。我们明确考虑到了独特的挑战,如供应短缺、时间窗口和地理因素。该问题首先被表述为一个混合整数线性规划模型,旨在最大化执行一系列紧急医疗保健取送任务所带来的总利润。针对大规模基准实例,提出了基于 Q-learning 的增强型自适应大邻域搜索(QALNS)。QALNS 在基准实例上表现出卓越的性能。与 Gurobi 求解器和最先进的自适应大型邻域搜索算法相比,QALNS 还能将求解质量平均提高 5.49% 和 6.86%。我们对影响 QALNS 算法性能的关键因素(如学习率和折扣指标)进行了敏感性分析。最后,我们就无人机队的使用和网络设计提供了管理见解。
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引用次数: 0
Distributionally robust hospital capacity expansion planning under stochastic and correlated patient demand 随机和相关患者需求下分布稳健的医院扩容规划
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-05 DOI: 10.1016/j.cor.2024.106887
Aliaa Alnaggar, Fatimah Faiza Farrukh
This paper investigates the optimal locations and capacities of hospital expansion facilities under uncertain future patient demands, considering both spatial and temporal correlations. We propose a novel two-stage distributionally robust optimization (DRO) model that integrates a Spatio-Temporal Neural Network (STNN). Specifically, we develop an STNN model that predicts future hospital occupancy levels considering spatial and temporal patterns in time-series datasets over a network of hospitals. The predictions of the STNN model are then used in the construction of the ambiguity set of the DRO model. To address computational challenges associated with two-stage DRO, we employ the linear-decision-rules technique to derive a tractable mixed-integer linear programming approximation. Extensive computational experiments conducted on real-world data demonstrate the superiority of the STNN model in minimizing forecast errors. Compared to neural network models built for each individual hospital, the proposed STNN model achieves a 53% improvement in average root mean square error. Furthermore, the results demonstrate the value of incorporating spatiotemporal dependencies of demand uncertainty in the DRO model, as evidenced by out-of-sample analysis conducted with both ground truth data and under perfect information scenarios.
本文研究了在未来病人需求不确定的情况下,考虑空间和时间相关性,医院扩建设施的最佳位置和容量。我们提出了一种整合了时空神经网络(STNN)的新型两阶段分布稳健优化(DRO)模型。具体来说,我们开发了一个 STNN 模型,该模型可预测未来医院入住率水平,同时考虑医院网络时间序列数据集的空间和时间模式。STNN 模型的预测结果将用于构建 DRO 模型的模糊集。为了解决与两阶段 DRO 相关的计算难题,我们采用了线性决策规则技术,推导出了一种可行的混合整数线性规划近似方法。在真实世界数据上进行的大量计算实验证明,STNN 模型在最小化预测误差方面具有优势。与针对每家医院建立的神经网络模型相比,所提出的 STNN 模型在平均均方根误差方面提高了 53%。此外,结果还证明了将需求不确定性的时空依赖性纳入 DRO 模型的价值,这一点在使用地面实况数据和完美信息情景下进行的样本外分析中得到了证明。
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引用次数: 0
A GRASP-based multi-objective approach for the tuna purse seine fishing fleet routing problem 基于 GRASP 的金枪鱼围网捕鱼船队路线问题多目标方法
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-05 DOI: 10.1016/j.cor.2024.106891
Igor Granado , Elsa Silva , Maria Antónia Carravilla , José Fernando Oliveira , Leticia Hernando , Jose A. Fernandes-Salvador
Nowadays, the world’s fishing fleet uses 20% more fuel to catch the same amount of fish compared to 30 years ago. Addressing this negative environmental and economic performance is crucial due to stricter emission regulations, rising fuel costs, and predicted declines in fish biomass and body sizes due to climate change. Investment in more efficient engines, larger ships and better fuel has been the main response, but this is only feasible in the long term at high infrastructure cost. An alternative is to optimize operations such as the routing of a fleet, which is an extremely complex problem due to its dynamic (time-dependent) moving target characteristics. To date, no other scientific work has approached this problem in its full complexity, i.e., as a dynamic vehicle routing problem with multiple time windows and moving targets. In this paper, two bi-objective mixed linear integer programming (MIP) models are presented, one for the static variant and another for the time-dependent variant. The bi-objective approaches allow to trade off the economic (e.g., probability of high catches) and environmental (e.g., fuel consumption) objectives. To overcome the limitations of exact solutions of the MIP models, a greedy randomized adaptive search procedure for the multi-objective problem (MO-GRASP) is proposed. The computational experiments demonstrate the good performance of the MO-GRASP algorithm with clearly different results when the importance of each objective is varied. In addition, computational experiments conducted on historical data prove the feasibility of applying the MO-GRASP algorithm in a real context and explore the benefits of joint planning (collaborative approach) compared to a non-collaborative strategy. Collaborative approaches enable the definition of better routes that may select slightly worse fishing and planting areas (2.9%), but in exchange for a significant reduction in fuel consumption (17.3%) and time at sea (10.1%) compared to non-collaborative strategies. The final experiment examines the importance of the collaborative approach when the number of available drifting fishing aggregation devices (dFADs) per vessel is reduced.
与 30 年前相比,如今全球捕鱼船队捕获相同数量的鱼要多用 20% 的燃料。由于更严格的排放法规、不断上涨的燃料成本以及气候变化导致鱼类生物量和体型下降的预测,解决这种不利的环境和经济表现至关重要。投资更高效的发动机、更大的船舶和更好的燃料一直是主要的应对措施,但这只能在基础设施成本较高的情况下长期可行。另一种办法是优化船队航线等操作,由于船队具有动态(随时间变化)移动目标的特点,这是一个极其复杂的问题。迄今为止,还没有任何其他科学工作从其复杂性的角度,即作为一个具有多个时间窗口和移动目标的动态车辆路由问题,来研究这个问题。本文提出了两个双目标混合线性整数编程(MIP)模型,一个用于静态变量,另一个用于随时间变化的变量。双目标方法允许在经济目标(如高捕获概率)和环境目标(如燃料消耗)之间进行权衡。为了克服 MIP 模型精确解法的局限性,提出了一种针对多目标问题的贪婪随机自适应搜索程序(MO-GRASP)。计算实验证明,MO-GRASP 算法性能良好,当每个目标的重要性不同时,结果也明显不同。此外,对历史数据进行的计算实验证明了在实际环境中应用 MO-GRASP 算法的可行性,并探索了联合规划(协作方法)与非协作策略相比的优势。与非协作策略相比,协作方法能够定义更好的路线,但可能会选择稍差的捕鱼区和种植区(2.9%),但换来的是燃料消耗(17.3%)和海上时间(10.1%)的显著减少。最后一项实验检验了当每艘船可用的漂流集鱼装置(dFADs)数量减少时协作方法的重要性。
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引用次数: 0
The semi-online robotic pallet loading problem 半在线机器人托盘装载问题
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-05 DOI: 10.1016/j.cor.2024.106889
Shaowen Yao , Tai Zhang , Hao Zhang , Jian Qiu , Jiewu Leng , Qiang Liu , Lijun Wei
The distributor’s online pallet loading problem (DPLP), which involves efficiently packing a set of cuboid boxes with various dimensions and unknown order into a minimum number of given sized pallet, is extensively employed in industrial automation and has recently garnered significant attention from the research community. However, the existing online approaches face challenges due to the unpredictable arrival order of boxes and the requirement for fast processing. To address this issue, we introduce a new variant of DPLP, the online pallet loading problem with buffer area, by introducing a buffer area with a predefined capacity within the stacking region. The arrival boxes are initially positioned within the buffer area until the total number of boxes reaches the maximum capacity of the buffer area, then, the boxes in the buffer area are selected and packed into the pallet. We propose a greedy search heuristic to solve the online DPLP with buffer area. Our approach uses an open space approach to represent the residual space and combine simple and guillotine blocks to generate blocks. By minimizing the amount of waste, we select the appropriate box placement. Extensive experimental tests on classical and practical instances shows that our method improves pallet utilization by more than 15% compared to purely online algorithms. Compared with other state-of-the-art algorithms, our method improves the average improvement by 8%. Moreover, our approach exhibits a certain level of generalizability and holds substantial practical value for real-world applications.
分销商在线托盘装载问题(DPLP)涉及将一组具有不同尺寸和未知顺序的长方体箱子有效地装入最小数量的给定尺寸托盘,该问题被广泛应用于工业自动化领域,最近引起了研究界的极大关注。然而,由于箱子到达顺序的不可预测性和快速处理的要求,现有的在线方法面临着挑战。为了解决这个问题,我们引入了 DPLP 的一个新变体,即带缓冲区的在线托盘装载问题,在堆叠区域内引入一个预定容量的缓冲区。到达的箱子最初被放置在缓冲区内,直到箱子总数达到缓冲区的最大容量,然后,缓冲区内的箱子被选中并装入托盘。我们提出了一种贪婪搜索启发式来求解带缓冲区的在线 DPLP。我们的方法使用开放空间法来表示剩余空间,并结合简单块和断头台块来生成块。通过最大限度地减少浪费,我们选择了合适的方块位置。在经典和实际案例中进行的大量实验测试表明,与纯在线算法相比,我们的方法提高了 15%以上的托盘利用率。与其他最先进的算法相比,我们的方法平均提高了 8%。此外,我们的方法还具有一定的通用性,在实际应用中具有很大的实用价值。
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引用次数: 0
Flexible electricity market clearing zones 灵活的电力市场清算区
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-05 DOI: 10.1016/j.cor.2024.106880
Simon Risanger, Steffen J.S. Bakker, Stein-Erik Fleten, Asgeir Tomasgard
Zonal markets and nodal pricing are the dominant designs for liberalized electricity markets. We propose an alternative design that changes zones in each bidding period according to the estimated most efficient dispatch. These flexible electricity market clearing zones consider the grid’s physical constraints to a larger degree than zonal markets but maintain their bidding simplicity and few price areas. We propose a proof-of-concept framework for flexible electricity market clearing zones, including a method to enumerate all zonal configurations. We illustrate the performance of this framework on a case study in the Nordic countries using flow-based market clearing (FBMC), considering a model for the day-ahead market and a real-time balancing market. Our results suggest that flexible electricity market clearing zones on sequential day-ahead and real-time balancing markets achieve costs slightly above nodal stochastic clearing. But, contrary to stochastic clearing, it can guarantee short-term revenue adequacy and cost recovery. Moreover, the flexible market design increases day-ahead market price levels and price variability at the nodal level, particularly in scenarios with high renewable generation, demonstrating its capacity to align price signals with network congestion and real-time supply conditions. Flexible electricity market clearing zones can thus facilitate the integration of renewables by enhancing system adaptability and promoting more efficient resource allocation.
分区市场和节点定价是自由化电力市场的主流设计。我们提出了另一种设计方案,即在每个竞价期根据估计的最有效调度来改变区域。与分区市场相比,这些灵活的电力市场清算区在更大程度上考虑了电网的物理限制,但仍保持了竞价的简单性和少数价格区域。我们提出了灵活电力市场清算区的概念验证框架,包括列举所有分区配置的方法。我们在北欧国家使用基于流量的市场清算(FBMC)进行了案例研究,考虑了日前市场和实时平衡市场的模型,说明了该框架的性能。我们的研究结果表明,顺序日前市场和实时平衡市场的灵活电力市场清算区的成本略高于节点随机清算。但与随机清算相反,它能保证短期收入充足和成本回收。此外,灵活的市场设计提高了日前市场的价格水平和节点水平的价格变化,特别是在可再生能源发电量较高的情况下,这表明它有能力使价格信号与网络拥塞和实时供应条件相一致。因此,灵活的电力市场清算区可以通过提高系统适应性和促进更有效的资源配置来促进可再生能源的整合。
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引用次数: 0
Two-stage robust multimodal hub network design under budgeted demand uncertainty: A Benders decomposition approach and a case study 预算需求不确定情况下的两阶段稳健多式联运枢纽网络设计:本德斯分解法和案例研究
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-04 DOI: 10.1016/j.cor.2024.106882
Haifeng Zhang , Kai Yang , Jianjun Dong , Lixing Yang
The widening use of hub networks in urban agglomeration freight systems requires several actual extensions in conventional hub network design problems. For this purpose, we introduce a two-stage robust multimodal hub network design problem for the urban agglomeration freight system by considering incomplete hub network topology, multiple transportation modes, travel time limit and discuss the uncertainty in the constructed network from the demand point of view. Particularly, we model the demand uncertainty for the considered problem in two different ways. The basic model supposes that interval-budgeted uncertainty set is adopted to characterize uncertain demand, while the expanded model additionally considers possible states of the uncertain demand and weights summation of performances over multiple uncertainty sets, namely state-wise budgeted uncertainty set. By using a min–max criterion, we develop the path-based mixed-integer programming formulations for the proposed problem, which can significantly decrease the number of required integer variables and constraints. To handle large-sized problems, we propose an improved Benders decomposition algorithm, in which the master problem is implemented in a branch-and-bound framework and the subproblem is optimality solved by a customized two-step strategy. In addition to evaluating on the standard CAB, TR and AP datasets, we conduct a real-world case study of the Beijing–Tianjin–Hebei urban agglomeration freight system to explore the effect of incorporating uncertainty and showcase the superior performance of the proposed methods.
随着枢纽网络在城市群货运系统中的应用越来越广泛,需要对传统的枢纽网络设计问题进行一些实际扩展。为此,我们通过考虑不完整的枢纽网络拓扑结构、多种运输方式、旅行时间限制等因素,引入了城市集群货运系统的两阶段鲁棒多式联运枢纽网络设计问题,并从需求角度讨论了所构建网络的不确定性。特别是,我们用两种不同的方法为所考虑问题的需求不确定性建模。基本模型假定采用区间预算不确定性集来描述不确定需求,而扩展模型则额外考虑了不确定需求的可能状态,并对多个不确定性集的性能进行加权求和,即状态预算不确定性集。通过使用最小-最大准则,我们为所提问题开发了基于路径的混合整数编程公式,从而大大减少了所需整数变量和约束条件的数量。为了处理大型问题,我们提出了一种改进的 Benders 分解算法,其中主问题在分支与边界框架中实现,子问题通过定制的两步策略优化求解。除了在标准 CAB、TR 和 AP 数据集上进行评估外,我们还对京津冀城市群货运系统进行了实际案例研究,以探索纳入不确定性的影响,并展示所提方法的优越性能。
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引用次数: 0
Corporate risk stratification through an interpretable autoencoder-based model 通过基于自动编码器的可解释模型进行企业风险分层
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-10-31 DOI: 10.1016/j.cor.2024.106884
Alessandro Giuliani , Roberto Savona , Salvatore Carta , Gianmarco Addari , Alessandro Sebastian Podda
In this manuscript, we propose an innovative early warning Machine Learning-based model to identify potential threats to financial sustainability for non-financial companies. Unlike most state-of-the-art tools, whose outcomes are often difficult to understand even for experts, our model provides an easily interpretable visualization of balance sheets, projecting each company in a bi-dimensional space according to an autoencoder-based dimensionality reduction matched with a Nearest-Neighbor-based default density estimation. In the resulting space, the distress zones, where the default intensity is high, appear as homogeneous clusters directly identified. Our empirical experiments provide evidence of the interpretability, forecasting ability, and robustness of the bi-dimensional space.
在本手稿中,我们提出了一种基于机器学习的创新型预警模型,用于识别非金融公司财务可持续性的潜在威胁。与大多数最先进的工具(其结果往往连专家也难以理解)不同,我们的模型提供了一种易于解释的可视化资产负债表,根据基于自动编码器的降维方法和基于近邻的违约密度估算,将每家公司投射到一个二维空间中。在由此产生的空间中,违约强度高的困境区以直接识别的同质群组形式出现。我们的实证实验证明了双维空间的可解释性、预测能力和稳健性。
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引用次数: 0
Robustness assessment of climate policies towards carbon neutrality: A DRO-IAMS approach 对实现碳中和的气候政策进行稳健性评估:DRO-IAMS 方法
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-10-30 DOI: 10.1016/j.cor.2024.106879
Guiyu Li, Hongbo Duan
There are plenty of uncertainties in the integrated climate-economic system including parameter uncertainty and model uncertainty, which significantly challenges the assessment of climate goals committed in the Paris Agreement pledges. In this study, we develop a robustness assessment framework of climate policy by effectively coupling the distributionally robust optimization (DRO) methodology with integrated assessment models (IAMs), termed DRO-IAMS framework, where “S” emphasizes the multiple IAMs being incorporated. Our approach determines a safeguarding probability for the achievement of carbon-neutrality target through the worst-case Conditional Value-at-Risk (CVaR) criterion by effectively capturing the fat-tail effect and exploiting its tractability. Leveraging a discrete support of uncertain parameters over which the objective value of global temperature increase (GTI) can be readily accessible using the IAMs, our developed DRO-IAMS framework effectively circumvents the difficulty in utilizing analytically the black-box-featured IAMs, and achieves a comprehensive and more flexible fashion in integrating the DRO (e.g, moment, ϕ-divergence, and Wasserstein ambiguity sets) and IAMs (e.g., DICE, FUND, and E3METL) to cope with parameter- and model uncertainties in climate policy assessment. Our results suggest that parameter uncertainty and model uncertainty — as critical issues that can have significant impacts on the warming and economic performance of policies — could incur biased assessment for the realization of climate targets. Our proposed DRO-IAMS approach — by its design — is shown to be able to effectively mitigate such issues by pursuing stricter mitigation efforts, and can produce more reliable assessments for typical climate policies than the common sampling-based approaches.
气候-经济综合系统中存在大量不确定性,包括参数不确定性和模型不确定性,这给评估《巴黎协定》承诺的气候目标带来了巨大挑战。在本研究中,我们通过将分布稳健优化(DRO)方法与综合评估模型(IAMs)有效耦合,建立了气候政策稳健性评估框架,称为 DRO-IAMS 框架,其中 "S "强调了所纳入的多个 IAMs。我们的方法通过最坏情况下的条件风险值(CVaR)准则,有效捕捉胖尾效应并利用其可操作性,确定实现碳中性目标的保障概率。我们开发的 DRO-IAMS 框架利用不确定性参数的离散支持,可以使用 IAMs 方便地获取全球气温升高(GTI)的目标值,从而有效地规避了分析利用黑箱特征 IAMs 的困难,并以更全面、更灵活的方式整合了 DRO(如矩、j-发散和 Wasserstein 模糊集)和 IAMs(如 DICE、FUND 和 CVaR)、DICE、FUND 和 E3METL),以应对气候政策评估中的参数和模型不确定性。我们的研究结果表明,参数的不确定性和模型的不确定性--作为对气候变暖和政策的经济绩效有重大影响的关键问题--可能会导致对气候目标实现情况的评估出现偏差。我们提出的 DRO-IAMS 方法--通过其设计--表明能够通过更严格的减缓努力来有效地缓解这些问题,并且与常见的基于抽样的方法相比,能够为典型的气候政策提供更可靠的评估。
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引用次数: 0
Re-direction in queueing networks with two customer types: The inter-departure analysis 有两种客户类型的排队网络中的重新定向:出发间分析
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-10-29 DOI: 10.1016/j.cor.2024.106867
Opher Baron , Oded Berman , Dmitry Krass , Eliran Sherzer
Re-direction occurs when a customer arriving at a station in a queuing network has to be re-directed to a downstream station to complete service. Re-direction is extremely common in practice and occurs for a variety of reasons, ranging from incorrect initial station assignment to cases where the initial station only provides part of the service. Gatekeeper stations (e.g., information desks) is a special case of re-direction. We consider re-direction in a queueing network consisting of single-server stations serving two customer types with different service time requirements. The behavior of such queueing networks is quite complex: even when all external arrivals and all services are Markovian, the customers’ inter-departure distribution, and hence their arrival process to downstream stations, is non-Markovian. Thus, product-form representation does not hold for such networks. Our analysis focuses on the key building block: the inter-departure process from a station serving two distinct customer types and routing them to two different downstream service paths. Using a novel approach, we obtain a very accurate phase-type representation of the inter-departure process under equilibrium. We show that the resulting methodology has significant advantages over both simulation modeling (our method is much faster) and the available approximation techniques (our method is more accurate). Finally, we demonstrate an interesting phenomenon: even when the station merely re-directs one of the customer types (providing no service and seemingly useless waits), it can serve as a “regulator”, reducing the variability of the downstream arrival process. We show that, under some conditions, this can improve the overall system performance.
当客户到达排队网络中的一个站点时,必须重新定向到下游站点才能完成服务,这就是重定向。重定向在实践中极为常见,发生的原因多种多样,从错误的初始站点分配到初始站点只提供部分服务的情况都有。守门站(如问讯台)是重定向的一种特殊情况。我们考虑的是由单服务器站点组成的队列网络中的重定向问题,这些站点为两种客户类型提供服务,而这两种客户类型对服务时间的要求各不相同。这种排队网络的行为相当复杂:即使所有外部到达和所有服务都是马尔可夫式的,客户的出发间分布以及他们到达下游站点的过程也是非马尔可夫式的。因此,产品形式表示法并不适用于此类网络。我们的分析重点是关键构件:从一个车站出发,为两种不同类型的客户提供服务,并将他们分流到两条不同的下游服务路径的区间过程。我们采用一种新颖的方法,在平衡状态下获得了非常精确的相型表示。我们证明,与模拟建模(我们的方法更快)和现有的近似技术(我们的方法更精确)相比,我们的方法具有显著优势。最后,我们展示了一个有趣的现象:即使车站只是重新引导其中一种客户类型(不提供服务和看似无用的等待),它也可以充当 "调节器",降低下游到达过程的可变性。我们的研究表明,在某些条件下,这可以提高整个系统的性能。
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引用次数: 0
A deep reinforcement learning hyperheuristic for the covering tour problem with varying coverage 针对不同覆盖率的覆盖巡游问题的深度强化学习超寻优方法
IF 4.1 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-10-28 DOI: 10.1016/j.cor.2024.106881
Parisa Torabi , Ahmad Hemmati , Anna Oleynik , Guttorm Alendal
Covering Tour Problem (CTP) is a combinatorial optimization problem in which the objective is to identify a minimum-cost tour that satisfies the coverage of a certain subset of nodes in a graph. The Covering Tour Problem with Varying Coverage (CTP-VC) is an extension of this problem in which the coverage radius is dependent on the amount of time spent at each node. In this paper, we propose a novel approach to address the CTP-VC using a Deep Reinforcement Learning Hyperheuristic (DRLH). This study includes experiments on the existing Adaptive Metaheuristic to solve CTP-VC, to enhance its solution quality. Further, new heuristics and three selection methods, namely Uniform Random Selection (URS), adaptive Metaheuristic (AMH), and the proposed DRLH are introduced. We detail the computational setup, including the instance sets utilized, the training process for the DRLH agent, and the validation procedures for model selection. Through extensive experimentation and analysis, we evaluate the performance of different selection methods, assess the solution quality of the DRLH approach, investigate the robustness of selection methods, examine heuristic selection frequency, and analyze solution convergence. Our results demonstrate the efficacy of the DRLH approach in tackling the CTP-VC, offering promising insights for future research in the interface of combinatorial optimization and reinforcement learning methodologies.
覆盖游问题(Covering Tour Problem,CTP)是一个组合优化问题,其目标是找出一个最小成本的游程,以满足覆盖图中某个节点子集的要求。覆盖范围可变的巡回问题(CTP-VC)是这一问题的扩展,其中的覆盖半径取决于在每个节点花费的时间。在本文中,我们提出了一种利用深度强化学习超启发式(DRLH)解决 CTP-VC 问题的新方法。本研究包括对现有自适应元启发式求解 CTP-VC 的实验,以提高其求解质量。此外,还介绍了新的启发式和三种选择方法,即统一随机选择法(URS)、自适应元启发式(AMH)和所提议的 DRLH。我们详细介绍了计算设置,包括使用的实例集、DRLH 代理的训练过程以及模型选择的验证程序。通过大量实验和分析,我们评估了不同选择方法的性能,评估了 DRLH 方法的解决方案质量,研究了选择方法的鲁棒性,检查了启发式选择频率,并分析了解决方案的收敛性。我们的研究结果证明了 DRLH 方法在处理 CTP-VC 方面的有效性,并为未来在组合优化和强化学习方法接口方面的研究提供了很有前景的见解。
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