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Integrated train timetable with supply–demand interactions at the Chinese high-speed railway 中国高速铁路供需互动综合列车时刻表
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-09-07 DOI: 10.1016/j.omega.2024.103185
Jiawei Yuan , Yuan Gao , Jiannan Ke , Lin Yang

In traditional Chinese railway operations, train timetable and unit assignment are usually separated from pricing and seat allocation, resulting in a decrease in revenue and an increase in operating costs. In this paper, we study the integrated problem of train timetable, unit assignment, pricing, and seat allocation, where passenger choice behavior is modeled by the multinomial logit (MNL) model. This integration enables us to explicitly capture supply–demand interactions. The problem is formulated as a mixed integer nonlinear programming model with the objective of maximizing total profit. By converting the MNL model into its equivalent convex form, we recast the model as a tractable reformulation, allowing the use of a general-purpose solver to solve practical-sized instances. Based on real data from high-speed railway lines in China, three sets of case studies are conducted to validate the effectiveness and efficiency of the proposed approach.

在传统的中国铁路运营中,列车时刻表和动车组分配通常与定价和座位分配相分离,导致收入减少和运营成本增加。在本文中,我们研究了列车时刻表、动车组分配、定价和座位分配的综合问题,其中乘客选择行为由多项式对数(MNL)模型建模。这种整合使我们能够明确捕捉供需互动。问题被表述为一个混合整数非线性编程模型,目标是实现总利润最大化。通过将 MNL 模型转换为等效的凸形式,我们将该模型重塑为一个易于理解的重构模型,从而允许使用通用求解器来解决实际规模的实例。基于中国高速铁路线的真实数据,我们进行了三组案例研究,以验证所提方法的有效性和效率。
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引用次数: 0
Home-based care and center-based care: From being alternatives to being synergistic. Optimization models to support flexible care delivery 家庭护理和中心护理:从替代到协同。支持灵活提供护理服务的优化模式
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-09-06 DOI: 10.1016/j.omega.2024.103184
Paola Cappanera , Filippo Visintin , Sara Vannelli
The delivery of health care services, especially for patients with chronic conditions and/or requiring cyclical treatment, can be accomplished by resorting to two organizational models: center-based care and home-based care. In developed countries, government pressure to reduce healthcare spending and the COVID-19 pandemic have led to the spread of home-based care. This type of care is proven to outperform the center-based one in terms of cost-effectiveness, patient satisfaction, and adherence to treatment guidelines. However, even for treatments usually suitable to be delivered at home, the patient's health status or other constraints may make it inappropriate to deliver service at the patient's home. This calls for a new organizational model, referred to as flexible care, where home-based and center-based care are not seen as mutually exclusive models but as options that can be activated according to the patient's and provider's needs. This paper presents a novel network-based deterministic optimization model and two matheuristics to address a scheduling problem typically faced by providers adopting a flexible care model. The model considers a provider relying on a treatment room with a fixed number of medical chairs, a fleet of vehicles, and a team of operators. It allows for determining on which days of the planning horizon, in which setting (home or center), and by which operator each patient will be treated. The model takes into account patients’ preferences and considers two objective functions: minimizing provider costs and patients’ travel time. In addition, we propose a two-stage mixed-integer stochastic programming model with recourse actions. This model allows incorporating the uncertainty due to the occurrence of adverse events. Adverse events are sudden changes in the patient's condition randomly happening at a specific point in the planning horizon. These events render the patient unsuitable for home care and require them to be visited at the center from that moment onward. The models have been inspired by a real case and tested on multiple random instances.
提供医疗服务,尤其是为慢性病患者和/或需要周期性治疗的患者提供医疗服务,可以采用两种组织模式:中心护理和家庭护理。在发达国家,政府削减医疗开支的压力和 COVID-19 的流行导致了家庭护理的普及。事实证明,这种护理方式在成本效益、患者满意度和遵守治疗指南方面优于中心护理方式。然而,即使是通常适合在家中提供的治疗,由于患者的健康状况或其他限制因素,也可能不适合在患者家中提供服务。这就需要一种新的组织模式,即 "灵活护理",在这种模式下,居家护理和中心护理并不被视为相互排斥的模式,而是可以根据患者和医疗服务提供者的需求进行选择。本文提出了一种新颖的基于网络的确定性优化模型和两种数学启发式方法,以解决采用灵活护理模式的医疗服务提供者通常面临的调度问题。该模型考虑了医疗服务提供者依赖一个拥有固定数量医疗椅的治疗室、一个车队和一个操作员团队的情况。通过该模型,可以确定每位患者在计划期内的哪一天、在哪种环境(家庭或中心)以及由哪位操作员进行治疗。该模型考虑了患者的偏好,并考虑了两个目标函数:最大限度地降低医疗服务提供者的成本和患者的旅行时间。此外,我们还提出了一个带有追索行动的两阶段混合整数随机编程模型。该模型考虑到了不良事件发生所带来的不确定性。不良事件是指在计划范围内的某个特定时间点随机发生的患者病情突变。这些事件会导致病人不适合接受家庭护理,并要求他们从那时起到中心就诊。这些模型受到真实案例的启发,并在多个随机实例上进行了测试。
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引用次数: 0
An integrated approach for lot-sizing and storage assignment 批量大小和存储分配的综合方法
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-08-30 DOI: 10.1016/j.omega.2024.103183
Gislaine Mara Melega, Chi Xu, Raf Jans, Julie Paquette

In this paper, we study the interaction between the lot-sizing problem and the storage assignment problem. Traditional lot-sizing problems have been studied for decades. However, only recent studies have further considered decisions related to the assignment of items to inventory locations, aiming to better model the complex reality. In our problem, the storage space is divided into several separate locations, and the inventory is assigned to the storage locations taking into account specific compatibility conditions. Relocation of inventory is also possible if needed. In addition to the traditional cost elements from the lot-sizing problem, we consider others related to holding inventory, such as fixed storage costs, handling costs, and relocation costs. We model the problem using a general mathematical model, as well as a transportation reformulation, which provides better lower bounds. We propose several heuristics to solve the problem by splitting it into smaller subproblems, which are then solved sequentially. A series of computational experiments is carried out in order to evaluate the impact of the integration between the lot-sizing and the storage assignment decisions, as well as the behavior of the different solution approaches. The results show that the proposed heuristics are highly effective in finding feasible solutions that are very close to the best solutions, while spending 97% less computational time compared to solving the full mathematical model. When compared to the relax-and-fix heuristic (benchmark), certain versions of the heuristics can find better solutions using less computational effort, underscoring the benefit of employing more specialized heuristics. Additionally, we conduct a sensitivity analysis with the aim of understanding the impact of key input parameters on the problem. The results indicate a significant influence of compatibility levels on the problem complexity. Limited item–item compatibility notably increases complexity, whereas restricted item–location compatibility reduces computational time.

在本文中,我们研究了批量大小问题和存储分配问题之间的相互作用。传统的批量大小问题已经研究了几十年。然而,只有最近的研究才进一步考虑了将物品分配到库存位置的相关决策,旨在更好地模拟复杂的现实。在我们的问题中,存储空间被划分为几个独立的位置,库存被分配到存储位置时要考虑到特定的兼容性条件。如果需要,还可以对库存进行重新定位。除了批量大小问题中的传统成本要素外,我们还考虑了与持有库存相关的其他成本,如固定存储成本、处理成本和搬迁成本。我们使用一般数学模型对问题进行建模,并对运输问题进行重新表述,从而提供更好的下限。我们提出了几种启发式方法,通过将问题分割成更小的子问题,然后按顺序求解。我们进行了一系列计算实验,以评估整合批量大小和存储分配决策的影响,以及不同求解方法的行为。结果表明,所提出的启发式方法在找到非常接近最佳解决方案的可行方案方面非常有效,同时比求解完整数学模型节省了 97% 的计算时间。与 "放松-修正 "启发式(基准)相比,某些版本的启发式可以用更少的计算量找到更好的解决方案,这凸显了采用更专业的启发式的好处。此外,我们还进行了敏感性分析,以了解关键输入参数对问题的影响。结果表明,兼容性水平对问题复杂性有重大影响。有限的项目-项目兼容性明显增加了复杂性,而有限的项目-位置兼容性则减少了计算时间。
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引用次数: 0
Hotel recommendation mechanism based on online reviews considering multi-attribute cooperative and interactive characteristics 基于在线评论的酒店推荐机制,考虑多属性合作与互动特性
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-08-19 DOI: 10.1016/j.omega.2024.103173
Chonghui Zhang, Xinru Cheng, Kai Li, Bo Li

Online reviews of hotels provide important information to consumers. The process of extracting useful information from diverse online reviews is crucial for making the best final decisions. To explore the hidden intrinsic information behind online reviews, this paper optimizes information extraction by integrating multiple sources, and gives the recommendation alternative. First, to meet quantitative requirements, the probabilistic linguistic term set is introduced to demonstrate the massive number of comments crawled. Second, considering preference and fluctuation, the relative importance of multiple attributes is determined. Because multiple attributes typically have cooperative or mutually exclusive relationships, a novel model is presented by introducing such relationship to modify relative importance. Third, inspired by the 2-additive Choquet integral operator and the Mahalanobis-Taguchi System, a bi-objective optimization model is proposed to illustrate the interactive effect of comments and develop an attribute correlation network. The specific relationships between attributes are reflected, including the positive and negative interactions. The relative importance, interactive imporantce and subgroup utility can be obtained. Fourth, to guarantee the operability and interpretability of the recommendation results, this paper presents a new information fusion operator and an probabilistic linguistic three-way recommendation process. Finally, a case study is used to demonstrate the complete procedures, and the parameter and comparative analyses highlight the effectiveness of the new operator and recommendation method.

酒店的在线评论为消费者提供了重要信息。从各种在线评论中提取有用信息的过程对于做出最佳最终决策至关重要。为了挖掘在线评论背后隐藏的内在信息,本文通过整合多种信息源来优化信息提取,并给出推荐备选方案。首先,为了满足定量要求,本文引入了概率语言术语集,以展示所抓取的海量评论。其次,考虑偏好性和波动性,确定多个属性的相对重要性。由于多个属性通常具有合作或相互排斥的关系,因此通过引入这种关系来修改相对重要性,从而提出了一个新颖的模型。第三,受二加法 Choquet 积分算子和 Mahalanobis-Taguchi 系统的启发,提出了一个双目标优化模型来说明评论的交互影响,并建立了一个属性相关网络。该模型反映了属性之间的具体关系,包括正向和负向交互。可以得到相对重要性、交互重要性和子群效用。第四,为保证推荐结果的可操作性和可解释性,本文提出了一种新的信息融合算子和概率语言三向推荐过程。最后,本文通过一个案例研究展示了完整的程序,并通过参数和对比分析强调了新算子和推荐方法的有效性。
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引用次数: 0
The impact of green innovations on firm’s sustainable operations: Process innovation and recycling innovation 绿色创新对企业可持续运营的影响:工艺创新和回收创新
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-08-14 DOI: 10.1016/j.omega.2024.103170
Shan Liu, Jiayi Joey Yu, Tianjun Feng

As the urgency and importance of global carbon emission reduction have escalated in recent years, numerous firms are considering ideas to develop innovative green technologies in order to contribute to the low-carbon economy. This paper examines two types of green innovations adopted by firms, namely process innovation (improving production processes to enhance energy efficiency) and recycling innovation (establishing a circular economy to recycle and re-manufacture waste products). By developing a game-theoretical model, our analytical results reveal the following findings. First, we find that both process and recycling innovations can attract more consumers and improve the firm’s profitability under specific conditions. Second, when the cost advantage of remanufacturing is sufficiently low, the adoption of process innovation is always more profitable than recycling innovation. Otherwise, the profitability largely depends on the trade-off between consumers’ perception of the two green innovations. Third, compared to a single innovation, the adoption of both process and recycling innovations (dual green innovation) leads to a further increase in consumer demand and firm’s profit when the cost advantage of remanufacturing exceeds a certain threshold. Furthermore, the optimal pricing set by the firm and consumer demand become more sensitive to consumers’ perception of greenness when dual green innovation is adopted. Finally, the equilibrium result suggests the existence of a “synergistic promoting effect” when the firm implements dual green innovation, which indicates that the advantages of each innovation are amplified when the firm adopts dual green innovation. These results can serve as guidelines for firms aiming to utilize green innovations in order to reduce carbon emissions.

近年来,随着全球碳减排的紧迫性和重要性不断提升,许多企业都在考虑开发创新型绿色技术,以促进低碳经济的发展。本文研究了企业采用的两类绿色创新,即工艺创新(改进生产工艺以提高能源效率)和回收创新(建立循环经济以回收和再制造废品)。通过建立博弈理论模型,我们的分析结果揭示了以下结论。首先,我们发现在特定条件下,工艺创新和回收创新都能吸引更多消费者,提高企业的盈利能力。其次,当再制造的成本优势足够低时,采用工艺创新总是比回收创新更有利可图。否则,盈利能力在很大程度上取决于消费者对两种绿色创新的看法之间的权衡。第三,与单一创新相比,当再制造的成本优势超过一定临界值时,同时采用工艺创新和回收创新(双重绿色创新)会进一步增加消费者需求和企业利润。此外,当采用双重绿色创新时,企业设定的最优定价和消费者需求对消费者的绿色感知更加敏感。最后,均衡结果表明,当企业实施双重绿色创新时,存在 "协同促进效应",这表明当企业采用双重绿色创新时,每种创新的优势都会被放大。这些结果可以为旨在利用绿色创新减少碳排放的企业提供指导。
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引用次数: 0
Does ESG protect firms equally during crises? The role of supply chain concentration 在危机期间,ESG 是否能平等地保护企业?供应链集中度的作用
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-08-14 DOI: 10.1016/j.omega.2024.103171
Na Li , Guo Li , Jing Xue

The notion of environmental, social and governance (ESG) has been used by firms as a tool to resist crises. The aspect of ESG that enhances firm viability remains uncertain, as does whether this aspect varies across firms that exhibit distinct supply chain concentrations (SCCs). Clarifying these issues is essential for companies’ attempts to tailor their ESG portfolios in the context of operations to suit their unique circumstances and to improve supply chain viability. The COVID-19 pandemic offers an opportunity to examine these issues. Our study utilizes data regarding Chinese listed firms to conduct an empirical assessment of how ESG affects stock market performance in response to the increase in COVID-19 cases both within China (the national outbreak) and at the global level excluding China (the global pandemic). The results reveal that a significant decline in stock returns occurred as COVID-19 cases increased. Firms that exhibited higher levels of preexisting ESG performance were associated with a less pronounced decrease in stock returns during the national outbreak. Notably, environmental and social responsibilities emerged as key protective factors in response to the national COVID-19 outbreak, while corporate governance proved to be more effective with regard to addressing the global pandemic. In addition, our study reveals that the safeguard provided by environmental and social responsibilities functions as a form of insurance primarily among low-SCC firms. On the other hand, the protective effect of high corporate governance is more evident among high-SCC firms. These findings offer valuable insights for companies seeking to fine-tune their ESG portfolios and navigate the interactions between ESG and SCC.

环境、社会和治理(ESG)的概念已被企业用作抵御危机的工具。环境、社会和公司治理中能提高公司生存能力的方面仍不确定,表现出不同供应链集中度(SCC)的公司在这方面是否存在差异也不确定。澄清这些问题对于企业在运营过程中调整其环境、社会和治理投资组合以适应其独特情况并提高供应链可行性至关重要。COVID-19 大流行为研究这些问题提供了机会。我们的研究利用中国上市公司的数据,对中国国内(全国性疫情)和除中国以外的全球层面(全球性疫情)的 COVID-19 病例增加时,ESG 如何影响股市表现进行了实证评估。研究结果表明,随着 COVID-19 病例的增加,股票回报率出现大幅下降。在全国疫情爆发期间,表现出较高预先环境、社会和治理绩效水平的公司的股票回报率下降幅度较小。值得注意的是,环境和社会责任成为应对 COVID-19 全国疫情的关键保护因素,而公司治理被证明在应对全球疫情方面更为有效。此外,我们的研究还发现,环境和社会责任所提供的保障主要在低 SCC 企业中起到了保险的作用。另一方面,高公司治理的保护作用在高 SCC 公司中更为明显。这些研究结果为企业寻求微调其环境、社会和公司治理投资组合以及驾驭环境、社会和公司治理与 SCC 之间的相互作用提供了宝贵的见解。
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引用次数: 0
A comparative study on precision of direct evaluations, the Pairwise Comparisons Method and the Best-Worst Method 关于直接评估、成对比较法和最佳-最差法精确度的比较研究
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-08-13 DOI: 10.1016/j.omega.2024.103175
Bice Cavallo , Alessio Ishizaka

The aim of this paper is to design, carry out and analyze an experiment with over 100 respondents to measure the precision of the respondents when they compare (by evaluation) the areas of nine geometric figures and five distances between cities by using direct evaluations, Pairwise Comparisons Method and Best-Worst Method. The outcomes of the experiment indicate that the direct evaluations are the most imprecise and that there is not statistically significant difference between Best-Worst Method and Pairwise Comparisons Method.

本文旨在设计、实施和分析一项由 100 多名受访者参加的实验,以测量受访者在使用直 接评价法、成对比较法和最佳--最差法(通过评价)比较九个几何图形的面积和五个城市 之间的距离时的精确度。实验结果表明,直接评价法最不精确,而最佳-最差法和成双比较法在统计上没有显著差异。
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引用次数: 0
An assessment of the prominence and total engagement metrics for ranking interdependent attributes in DEMATEL and WINGS 评估 DEMATEL 和 WINGS 中相互依存属性排序的突出度和总参与度指标
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-08-12 DOI: 10.1016/j.omega.2024.103176
Alireza Shamekhi Amiri , S. Ali Torabi , Madjid Tavana

A weight vector is assigned to the attributes in multiple-attribute decision-making to show their relative importance. The interdependencies among the attributes often influence this weight vector. The decision-making trial and evaluation laboratory (DEMATEL) and weighted influence non-linear gauge system (WINGS) are among those methods that consider these interdependencies. These methods require matrix manipulation with several metrics to evaluate interdependencies. This study investigates the potential irregularities within the metrics employed by these two methods for weighing criteria. It examines these metrics and analyzes their sensitivity to the direction and the level of influence among attributes. We provide several numerical examples and mathematical analyses to evaluate their consistency by comparing the expected outcomes with the outcomes of the metrics. Although the metrics are expected to assign higher importance to the more influencing criteria, the total engagement/prominence metric is not sensitive to the direction and level of influence among attributes. We conclude these metrics are inconsistent and can not be used reliably as a composite indicator. In contrast, we show that the total impact factor reflects both the direction and the level of influence and is a reliable choice for this purpose.

在多属性决策中,会给属性分配一个权重向量,以显示它们的相对重要性。属性之间的相互依存关系往往会影响权重向量。决策试验和评估实验室 (DEMATEL) 和加权影响非线性测量系统 (WINGS) 是考虑这些相互依存关系的方法之一。这些方法需要矩阵操作和多个指标来评估相互依存关系。本研究调查了这两种方法在权衡标准时所采用的指标中可能存在的不规则性。本研究考察了这些指标,并分析了它们对属性之间的影响方向和影响程度的敏感性。我们提供了几个数字示例和数学分析,通过比较预期结果和度量结果来评估它们的一致性。虽然这些度量标准预计会赋予影响较大的标准更高的重要性,但总参与度/主导度量标准对各属性之间的影响方向和影响程度并不敏感。我们的结论是,这些指标不一致,不能可靠地用作综合指标。相比之下,我们发现总影响因子既能反映影响的方向,也能反映影响的程度,因此是一个可靠的选择。
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引用次数: 0
Determining the equilibrium efficient frontier by proportional frontier shifting for data envelopment analysis with fixed-sum outputs 用比例前沿移动法确定有固定总和产出的数据包络分析的均衡有效前沿
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-08-11 DOI: 10.1016/j.omega.2024.103174
Weijiao Wang , Fei Xu , Junfei Chu , Yanhua Dong , Zhe Yuan

The equilibrium efficient frontier data envelopment analysis (EEFDEA) has been extensively used to evaluate efficiencies of the decision-making units (DMUs) with fixed-sum outputs. This study develops a new EEFDEA approach based on a proportional frontier-shifting strategy. Our approach applies an iterative procedure to find the equilibrium efficient frontier (EEF). Each iteration uses a proportional frontier-shifting model to improve an inefficient DMU to the efficient frontier by increasing its fixed-sum outputs. Meanwhile, the DMUs on the efficient frontier decrease fixed-sum outputs proportionally to ensure the total fixed-sum outputs are unchanged. Our theoretical developments show that the proportional frontier-shifting strategy is feasible and can finally obtain a unique EEF. The new approach allows DMUs to use their preferred input and output weights when determining the EEF. This generates an EEF that better aligns with real-world practices and avoids the need to construct it as a single hyperplane, as required by conventional EEFDEA methods. It also avoids unfair adjustments in fixed-sum outputs among the DMUs and eliminates the problem of peculiar efficiency evaluation results (i.e., some DMUs obtain extremely high, or infinity, efficiencies). Finally, we apply our approach to a case study of Chinese vehicle industry companies to demonstrate its usefulness and compare it with the previous representative approach.

均衡有效前沿数据包络分析法(EEFDEA)被广泛用于评估具有固定总和产出的决策单元(DMU)的效率。本研究基于比例前沿移动策略开发了一种新的 EEFDEA 方法。我们的方法采用迭代程序来寻找均衡有效边界(EEF)。每次迭代都使用比例前沿移动模型,通过增加低效率 DMU 的固定总产出,将其提升到高效前沿。同时,高效前沿的 DMU 按比例减少固定和产出,以确保总固定和产出保持不变。我们的理论发展表明,比例前沿移动策略是可行的,并能最终得到唯一的 EEF。新方法允许 DMU 在确定 EEF 时使用其偏好的投入和产出权重。这样产生的 EEF 更符合现实世界的做法,避免了传统 EEFDEA 方法所要求的将其构建为单一超平面的做法。它还避免了 DMU 之间固定和产出的不公平调整,并消除了效率评估结果奇特的问题(即一些 DMU 获得了极高或无穷大的效率)。最后,我们将我们的方法应用于中国汽车工业企业的案例研究,以证明其实用性,并与之前的代表性方法进行比较。
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引用次数: 0
Optimal allocation and route design for station-based drone inspection of large-scale facilities 基于站点的大型设施无人机巡检的优化分配和路线设计
IF 6.7 2区 管理学 Q1 MANAGEMENT Pub Date : 2024-08-10 DOI: 10.1016/j.omega.2024.103172
Lei Cai , Jiliu Li , Kai Wang , Zhixing Luo , Hu Qin

The utilization of drones to conduct inspections on industrial electricity facilities, including large-sized wind turbines and power transmission towers, has recently received significant attention, mainly due to its potential to enhance inspection efficiency and save maintenance costs. Motivated by the advantages of drones for facility inspection, we present a novel station-based drone inspection problem (SDIP) for large-scale facilities. The objective of SDIP is to determine the locations of multiple homogeneous automatic battery swap stations (ABSSs) equipped with drones, assign facility inspection tasks to the ABSSs with operation duration constraints, and design drone inspection routes with battery capacity constraints, such that minimize the sum of fixed ABSS costs and drone travel costs. The SDIP can be regarded as a variant of the location-routing problem, which is NP-hard and difficult to solve optimally. To obtain the optimal solution of SDIP efficiently, we firstly formulate this problem into an arc based formulation and a route based formulation, and then develop a logic-based Benders decomposition (LBBD) algorithm to solve it. The SDIP is decomposed into a master problem (MP) and a set of subproblems (SPs). The MP is solved by a branch-and-cut (BC) procedure. Once a feasible integer solution is found, the linear relaxation of SPs are solved by a stabilized column generation to generate Benders cuts. If the cost of all the SPs’ optimal LP solutions plus the cost of the MP’s solution is less that current best cost, the SPs are exactly solved by a Branch-and-Price (BP) algorithm to generate the logic cuts. The numerical results on five scales of randomly generated instances validate the effectiveness of the LBBD algorithm. Specifically, the LBBD can solve all small- and middle-sized instances, and seven out of ten large-sized instances in 1000 s. Furthermore, we conduct a sensitivity analysis by varying the attributes of ABSSs and drones, and provide valuable managerial insights for large-scale facility inspection.

最近,利用无人机对大型风力涡轮机和输电塔等工业电力设施进行巡检受到了广泛关注,这主要是因为无人机具有提高巡检效率和节约维护成本的潜力。基于无人机在设施巡检方面的优势,我们提出了一个针对大型设施的新型基于站点的无人机巡检问题(SDIP)。SDIP 的目标是确定多个配备无人机的同质自动电池交换站(ABSS)的位置,将设施巡检任务分配给有运行时间限制的 ABSS,并设计有电池容量限制的无人机巡检路线,从而使固定 ABSS 成本和无人机旅行成本之和最小。SDIP 可以看作是定位路由问题的一个变种,而定位路由问题是 NP 难问题,很难得到最优解。为了高效地获得 SDIP 的最优解,我们首先将该问题表述为基于弧的表述和基于路径的表述,然后开发了一种基于逻辑的 Benders 分解(LBBD)算法来求解该问题。SDIP 被分解成一个主问题 (MP) 和一组子问题 (SP)。主问题通过分支切割(BC)程序求解。一旦找到可行的整数解,SP 的线性松弛问题就会通过稳定列生成来解决,从而生成 Benders 剪切。如果所有 SP 的最优 LP 解的成本加上 MP 解的成本小于当前最佳成本,则通过分支加价算法(BP)精确求解 SP,生成逻辑切分。随机生成的五种规模实例的数值结果验证了 LBBD 算法的有效性。此外,我们还通过改变 ABSS 和无人机的属性进行了灵敏度分析,为大规模设施检测提供了有价值的管理见解。
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引用次数: 0
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