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Data-driven machinery faults detection techniques using Artificial Intelligence in Industry 4.0 concept 工业4.0概念中使用人工智能的数据驱动机械故障检测技术
Pub Date : 2025-01-01 Epub Date: 2025-04-25 DOI: 10.1016/j.procs.2025.03.053
Galina Samigulina , Zarina Samigulina , Daulet Bekeshev , Diana Butakova
The research is devoted to the development of an intelligent technology for diagnosing industrial equipment of oil and gas facilities based on an improved FMEA methodology (Analysis of Modes, Failures of their Influence, Degree of Criticality) in combination with a unified artificial immune system (UIIS) and the principles of immunological homeostasis. The main trends in the development of bioinspired artificial intelligence technologies are considered. A unified artificial immune system is built on the basis of modified algorithms of the artificial immune system (AIS) in order to identify the most effective ones (in data processing and forecasting) for a certain set of production data. The application of the principles of immunological homeostasis to assess modified algorithms allows identifying the «homeostasis area» in which the algorithms have the best predictive properties and can form an adequate immune response. The extension of the FMEA methodology with an intelligent block based on UAIS allows to automate the information processing previously carried out manually by experts, reduce time and resources when diagnosing equipment, and eliminate errors associated with the «human factor». The technology has been approbated on real data on equipment failures at TengizChevroil company (oil and gas industry) and on experimental data on equipment from Schneider Electric (Industrial Automation Lab).
该研究致力于开发基于改进的FMEA方法(模式分析,故障影响,临界程度),结合统一的人工免疫系统(UIIS)和免疫稳态原理的石油和天然气设施工业设备诊断智能技术。考虑了生物人工智能技术发展的主要趋势。在对人工免疫系统(AIS)算法进行改进的基础上,建立了统一的人工免疫系统,以识别某一组生产数据中最有效的(数据处理和预测)算法。应用免疫稳态原理来评估改进的算法,可以确定算法具有最佳预测特性并可以形成适当免疫反应的“稳态区域”。基于UAIS的智能模块扩展了FMEA方法,使以前由专家手动执行的信息处理自动化,减少了诊断设备时的时间和资源,并消除了与“人为因素”相关的错误。该技术已在tengizchevron公司(石油和天然气行业)设备故障的实际数据以及Schneider电气(工业自动化实验室)设备的实验数据中得到认可。
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引用次数: 0
From Dock to Destination: Toward an End-to-End Simulation Study 从码头到目的地:对端到端模拟研究
Pub Date : 2025-01-01 Epub Date: 2025-04-25 DOI: 10.1016/j.procs.2025.03.062
Kevin Power, Yassine Lahlou-Kamal, Nikolay Aristov, Elenna Dugundji, Thomas Koch
This study uses a discrete-event simulation model, built with open-source software, to analyze import container flows at the Port of New York/New Jersey. The model integrates input and parameter distributions derived from extensive data analysis of publicly available import records, enhanced by machine learning techniques, including Natural Language Processing for commodity classification using unstructured shipping manifest product descriptions. Initial results demonstrate the effectiveness of Gaussian Kernel Density Estimate (KDE) and Fourier models in representing container dwell times, reducing mean absolute error compared to normal distribution by up to 39.5% for dry containers and 24.8% for reefers. A fine-tuned BERT model achieves over 80% accuracy in commodity classification to the four-digit HS code level, enabling improved input data structuring for simulation. Initial scenario testing indicates increasing outbound rail freight from 15% to 25% of total containers reduces truck congestion by 11.5% and decreases median dwell time by 1.52% for dry containers and 2.55% for reefers. These findings highlight the potential for logistical adjustments to improve efficiency and reduce congestion at the Port of New York/New Jersey.
本研究采用离散事件模拟模型,利用开源软件构建,分析了纽约/新泽西港的进口集装箱流。该模型集成了从公开进口记录的大量数据分析中得出的输入和参数分布,并通过机器学习技术得到增强,包括使用非结构化运输舱单产品描述进行商品分类的自然语言处理。初步结果表明,高斯核密度估计(KDE)和傅立叶模型在表示容器停留时间方面是有效的,与正态分布相比,干燥容器的平均绝对误差降低了39.5%,冷藏容器的平均绝对误差降低了24.8%。经过微调的BERT模型在商品分类方面达到了80%以上的准确率,达到了四位HS编码水平,从而改进了模拟的输入数据结构。初步情景测试表明,将出站铁路货运从集装箱总量的15%增加到25%,可减少11.5%的卡车拥堵,并将干集装箱和冷藏集装箱的平均停留时间分别减少1.52%和2.55%。这些发现强调了在纽约/新泽西港进行物流调整以提高效率和减少拥堵的潜力。
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引用次数: 0
Combined transit mode choice patterns for commuters from transit card data in Korea 韩国交通卡数据中通勤者的综合交通方式选择模式
Pub Date : 2025-01-01 Epub Date: 2025-04-25 DOI: 10.1016/j.procs.2025.03.022
Jin Ki Eom , Seonhwa Jung , Kwang Sub Lee
In 2022, Korea introduced the MTC card to promote public transportation. The MTC card offers up to 30% savings on transportation costs by accumulating mileage based on walking or cycling distances and records data on first- and last-mile trips. A case study at Gangnam Station in Seoul, Korea analyzed combined transit transfer patterns during morning peak and evening peak hours at Gangnam Station by constructing multinomial logit model. The models focused on between two transit modes since the MTC data reported that the average transfer frequency of 1.32 for public transportation users in the Seoul metropolitan area. The four-transit mode combinations such as ‘Metro to Bus’, ‘Metro to Metro’, ‘Bus to Bus’, and ’ Bus to Metro’ were set as choice variables. The results show that during the morning peak hours, ‘Bus to Metro (BtoM)’ combination is mostly preferred, while the ‘Metro to Bus (MtoB)’ combination is favored in the evening. Morning commuters are more sensitive to time and costs than evening commuters. By identifying preferred transportation combinations for each time period, policymakers develop appropriate planning for public transportation services.
韩国从2022年开始,为了促进公共交通,引进了MTC卡。MTC卡根据步行或骑自行车的距离累积里程,并记录第一英里和最后一英里的行程数据,最多可节省30%的交通成本。以首尔江南站为例,通过建立多项logit模型,分析了江南站早晚高峰期间的综合换乘模式。根据交通委员会的资料,首都圈的公共交通使用者的平均换乘次数为1.32次,因此,模型主要集中在两种换乘方式之间。将“地铁到公交车”、“地铁到地铁”、“公交车到公交车”、“公交车到地铁”等四种交通方式组合设置为选择变量。结果表明,在早高峰时段,“公交转地铁(BtoM)”组合更受青睐,而“地铁转公交(MtoB)”组合在晚高峰时段更受青睐。早上上班的人比晚上上班的人对时间和成本更敏感。通过确定每个时间段的首选交通组合,决策者制定适当的公共交通服务规划。
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引用次数: 0
Balancing Privacy and Security: A Comparative Analysis of AI-Driven Surveillance in the UAE and USA 平衡隐私和安全:阿联酋和美国人工智能驱动监控的比较分析
Pub Date : 2025-01-01 Epub Date: 2025-04-25 DOI: 10.1016/j.procs.2025.03.021
Belal Alghafri, Abdallah Tubaishat
AI-driven surveillance has emerged as a critical tool for enhancing public safety, enabling authorities to monitor and prevent crime and terrorism more effectively. In countries like the UAE and the USA, these systems are often implemented under the pretext of national security, offering advanced methods to track potential threats. However, the increasing reliance on AI for surveillance raises significant ethical concerns about privacy and individual freedoms. The boundary between protecting citizens and infringing on their privacy becomes increasingly blurred, potentially leading to abuses of power, diminished public trust, and a pervasive atmosphere of fear. This paper explores the complex relationship between privacy and security in AI-driven surveillance practices in the UAE and the USA. Despite their differing political and legal systems, both countries face similar challenges in managing the ethical implications of AI surveillance. While these technologies can improve accuracy and efficiency, unchecked surveillance poses risks to civil liberties, particularly regarding data collection, analysis, and utilization. The central ethical dilemma revolves around whether certain rights should be compromised for security. While some scholars argue that the benefits of AI surveillance justify its use, others contend that privacy and freedom must remain inviolable, even amid security threats. The paper also examines the distinct approaches of the UAE and the USA in implementing surveillance systems. In the UAE, a centralized authority and significant technological investments have enabled extensive state surveillance with minimal public resistance. In contrast, the USA, as a democratic nation, continues to grapple with legal and ethical debates surrounding the limitations of its surveillance programs. The study aims to compare surveillance practices, analyze legal frameworks, and evaluate the impact on citizen freedoms. It concludes with policy recommendations to ensure responsible AI use, balancing national security with fundamental human rights.
人工智能驱动的监控已成为加强公共安全的关键工具,使当局能够更有效地监测和预防犯罪和恐怖主义。在阿联酋和美国等国家,这些系统通常以国家安全为借口实施,提供先进的方法来跟踪潜在的威胁。然而,越来越多地依赖人工智能进行监控,引发了对隐私和个人自由的重大伦理担忧。保护公民和侵犯其隐私之间的界限变得越来越模糊,这可能导致权力滥用,公众信任减少,恐惧气氛无处不在。本文探讨了阿联酋和美国人工智能驱动的监控实践中隐私与安全之间的复杂关系。尽管两国的政治和法律制度不同,但在管理人工智能监控的伦理影响方面,两国都面临着类似的挑战。虽然这些技术可以提高准确性和效率,但不受限制的监视对公民自由构成了风险,特别是在数据收集、分析和利用方面。核心的伦理困境围绕着是否应该为了安全而牺牲某些权利展开。虽然一些学者认为人工智能监控的好处证明了其使用的合理性,但其他人则认为,即使在安全威胁中,隐私和自由也必须保持不可侵犯。本文还研究了阿联酋和美国在实施监视系统方面的不同方法。在阿联酋,中央集权和大量的技术投资使广泛的国家监控得以实现,而公众的阻力最小。相比之下,美国作为一个民主国家,仍在努力应对围绕其监控项目局限性的法律和道德辩论。这项研究旨在比较监控做法,分析法律框架,并评估对公民自由的影响。报告最后提出了政策建议,以确保负责任地使用人工智能,平衡国家安全与基本人权。
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引用次数: 0
MASFENON: implementing a multi-agent simulation framework for interconnected networks with distributed programming MASFENON:通过分布式编程实现互联网络的多代理仿真框架
Pub Date : 2025-01-01 Epub Date: 2025-03-07 DOI: 10.1016/j.procs.2025.02.262
Giorgio Locicero , Antonio Di Maria , Salvatore Alaimo , Alfredo Pulvirenti
The complexity of networked systems, particularly interconnected networks, necessitates advanced simulation frameworks to accurately emulate real-world dynamics, especially in the context of big data and high-performance computing. Most software used for simulation and temporal inference usually falls short in large data and optimization, since it is generally used in particular contexts, like simulating the dynamics of a specific group of entities, such as cellular and community interactions. We present ”Multi-Agent Adaptive Simulation Framework for Evolution in Networks of Networks” (MASFENON). MASFENON employs a temporal multi-layered approach to simulate and analyze dynamic processes in interconnected networks. The framework leverages parallel programming techniques for matrix and linear algebra operations and distributed and reactive programming for agent and environment communication, all implemented in C++ using the Message Passing Interface (MPI) standard. MASFENON has been validated against several common network models and could simulate the behavior of real systems in the context of epidemic simulations (See [4]). The framework demonstrates sublinear speedup and scalability with network size. The implementation is open source and available in a regularly updated GitHub repository1. MASFENON's integration of MPI and distributed programming techniques provides a powerful and versatile tool for modeling complex network interactions and dynamics. Its capabilities extend beyond traditional models, offering new insights and applications in network science.
网络系统的复杂性,特别是互联网络,需要先进的仿真框架来准确地模拟现实世界的动态,特别是在大数据和高性能计算的背景下。大多数用于模拟和时间推理的软件通常在大数据和优化方面不足,因为它通常用于特定环境,例如模拟特定实体组的动态,例如细胞和社区交互。我们提出了“网络中的网络进化的多智能体自适应仿真框架”(MASFENON)。MASFENON采用时间多层方法来模拟和分析互联网络中的动态过程。该框架利用并行编程技术进行矩阵和线性代数运算,并利用分布式和响应式编程进行代理和环境通信,所有这些都使用消息传递接口(MPI)标准在c++中实现。MASFENON已经针对几种常见的网络模型进行了验证,并且可以在流行病模拟的背景下模拟真实系统的行为(见[4])。该框架显示了次线性加速和随网络大小的可扩展性。该实现是开源的,可以在定期更新的GitHub存储库中获得1。MASFENON集成了MPI和分布式编程技术,为复杂的网络交互和动态建模提供了强大而通用的工具。它的功能超越了传统模型,为网络科学提供了新的见解和应用。
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引用次数: 0
Towards full AI model lifecycle management on EuroHPC systems, experiences with AIFS for DestinE 在EuroHPC系统上实现完整的AI模型生命周期管理,有《destiny》AIFS的经验
Pub Date : 2025-01-01 Epub Date: 2025-03-07 DOI: 10.1016/j.procs.2025.02.264
Thomas Geenen , Even Marius Nordhagen , Victor Sanchez , Cathal O'Brien , Simon Lang , Mihai Alexe , Ana Prieto Nemesio , Gert Mertes , Rakesh Prithiviraj , Jesper Dramsch , Baudouin Raoult , Florian Pinault , Helen Theissen , Sara Hahner , Mario Santa Cruz , Matthew Chantry , Nils Wedi
On October 13 2023 ECMWF released the first alpha version of its artificial intelligence forecasting system, AIFS, ECMWFs data-driven forecasts model. This first release came just a few months after ECMWF started the development of this new model that highlights the increased efforts in the field of machine learning (ML) that ECMWF has been building over the last few years. This paper describes the use of AIFS on EuroHPC systems in the context of DestinE. The main focus is on performance benchmarks on the different EuroHPC systems available to DestinE but also very much on the deployment and use of the tools to support the model lifecycle management. EuroHPC systems have already proven to be of great value for DestinE and in this paper, we describe how we leverage these systems for artificial intelligence (AI) and ML models in DestinE. We are closely working with EuroHPC and EuroHPC hosting sites through co-design and the optimization of existing solutions to optimize the usage of these systems in every step of the lifecycle management for AI and ML models. The performance benchmarks of our models on several EuroHPC systems showed that the speedup is close to linear up to several thousand GPUs, but that for each EuroHPC system a different optimization strategy must be used to achieve that. For model lifecycle management we found that we can use our in-house developed, domain specific, framework on EuroHPC systems and highlight some specific modifications and future improvements for EuroHPC systems. W e a l s o provide implementation details and share our experiences on how to retrieve and collect provenance data and information from models running on EuroHPC systems using (external to the EuroHPC system deployed) cloud native frameworks. Although we describe solutions in this paper that are designed to support our specific requirements and context, we believe that proposed solutions, developments and implementation details can also bring value beyond the broader NWP community.
2023年10月13日,ECMWF发布了其人工智能预测系统AIFS的第一个alpha版本,即ECMWF数据驱动的预测模型。第一个版本是在ECMWF开始开发这个新模型的几个月后发布的,这个新模型突出了ECMWF在过去几年中在机器学习(ML)领域不断增加的努力。本文描述了AIFS在destiny环境下在EuroHPC系统上的应用。主要关注的是不同EuroHPC系统的性能基准测试,但也非常关注支持模型生命周期管理的工具的部署和使用。EuroHPC系统已经被证明对destiny具有巨大的价值,在本文中,我们描述了如何利用这些系统在destiny中实现人工智能(AI)和ML模型。我们正在与EuroHPC和EuroHPC托管站点密切合作,通过共同设计和优化现有解决方案,优化这些系统在人工智能和机器学习模型生命周期管理的每一步中的使用。我们的模型在几个EuroHPC系统上的性能基准测试表明,在几千个gpu的情况下,加速接近线性,但对于每个EuroHPC系统,必须使用不同的优化策略来实现这一目标。对于模型生命周期管理,我们发现我们可以在EuroHPC系统上使用我们内部开发的、特定领域的框架,并强调EuroHPC系统的一些具体修改和未来改进。我们将提供实现细节,并分享我们关于如何使用(部署在EuroHPC系统外部的)云原生框架从运行在EuroHPC系统上的模型中检索和收集来源数据和信息的经验。虽然我们在本文中描述的解决方案旨在支持我们的特定需求和背景,但我们相信,提出的解决方案、开发和实施细节也可以为更广泛的NWP社区带来价值。
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引用次数: 0
Portable test run of ESPResSo on EuroHPC systems via EESSI ESPResSo通过EESSI在EuroHPC系统上的便携式测试运行
Pub Date : 2025-01-01 Epub Date: 2025-03-07 DOI: 10.1016/j.procs.2025.02.267
Alan O'Cais , Kenneth Hoste , Jean-Noël Grad , Caspar van Leeuwen , Lara Peeters , Satish Kamath , Thomas Röblitz , Richard Topouchian , Bob Dröge , Pedro Santos Neves , Rudolf Weeber
One of the milestones of the EuroHPC Centre of Excellence MultiXscale is to be able to run the EESSI test suite on at least two different architectures available on EuroHPC Supercomputers. Our initial efforts focused on making the test suite portable across two different supercomputers: Karolina and Vega (the CPU partitions of both are a Zen2 micro-architecture).
More recently we have spent time getting the same test suite working on a more “exotic” architecture, the ARM A64FX architecture of Deucalion (which was in pre-production at the time of the experiment). This has raised some additional complications for EESSI as CernVM-FS (which is used to distribute EESSI) was not yet natively available there.
We show the current scalability of the ESPResSo application using the portable test suite. ESPResSo is already known to have scalability issues for both multi-node and multi-GPU configurations which are currently being analysed in collaboration with the POP Centre of Excellence. The purpose of this effort was to ensure that we can quickly and automatically record the performance of the application across a range of EuroHPC systems (i.e. ESPResSo acts as a pilot application for the full test suite)
EuroHPC卓越中心MultiXscale的里程碑之一是能够在EuroHPC超级计算机上至少两种不同的架构上运行EESSI测试套件。我们最初的努力集中在使测试套件可移植到两台不同的超级计算机上:Karolina和Vega(两者的CPU分区都是Zen2微体系结构)。最近,我们花了一些时间让同样的测试套件在一个更“奇特”的架构上工作,即Deucalion的ARM A64FX架构(在实验时处于预生产阶段)。这给EESSI带来了一些额外的复杂性,因为CernVM-FS(用于分发EESSI)在那里还没有本地可用。我们使用可移植测试套件展示了当前ESPResSo应用程序的可伸缩性。众所周知,ESPResSo在多节点和多gpu配置方面都存在可扩展性问题,目前正在与POP卓越中心合作进行分析。这样做的目的是为了确保我们能够快速、自动地记录应用程序在一系列EuroHPC系统上的性能(例如,ESPResSo作为完整测试套件的试点应用程序)。
{"title":"Portable test run of ESPResSo on EuroHPC systems via EESSI","authors":"Alan O'Cais ,&nbsp;Kenneth Hoste ,&nbsp;Jean-Noël Grad ,&nbsp;Caspar van Leeuwen ,&nbsp;Lara Peeters ,&nbsp;Satish Kamath ,&nbsp;Thomas Röblitz ,&nbsp;Richard Topouchian ,&nbsp;Bob Dröge ,&nbsp;Pedro Santos Neves ,&nbsp;Rudolf Weeber","doi":"10.1016/j.procs.2025.02.267","DOIUrl":"10.1016/j.procs.2025.02.267","url":null,"abstract":"<div><div>One of the milestones of the EuroHPC Centre of Excellence MultiXscale is to be able to run the EESSI test suite on at least two different architectures available on EuroHPC Supercomputers. Our initial efforts focused on making the test suite portable across two different supercomputers: Karolina and Vega (the CPU partitions of both are a Zen2 micro-architecture).</div><div>More recently we have spent time getting the same test suite working on a more “exotic” architecture, the ARM A64FX architecture of Deucalion (which was in pre-production at the time of the experiment). This has raised some additional complications for EESSI as CernVM-FS (which is used to distribute EESSI) was not yet natively available there.</div><div>We show the current scalability of the ESPResSo application using the portable test suite. ESPResSo is already known to have scalability issues for both multi-node and multi-GPU configurations which are currently being analysed in collaboration with the POP Centre of Excellence. The purpose of this effort was to ensure that we can quickly and automatically record the performance of the application across a range of EuroHPC systems (i.e. ESPResSo acts as a pilot application for the full test suite)</div></div>","PeriodicalId":20465,"journal":{"name":"Procedia Computer Science","volume":"255 ","pages":"Pages 122-129"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
k-Sachs-Critical Graphs k-Sachs-Critical图
Pub Date : 2025-01-01 Epub Date: 2025-11-25 DOI: 10.1016/j.procs.2025.10.316
Daniel A. Jaume, Diego G Martinez, Cristian Panelo, Kevin Pereyra
Motivated by Tutte’s 1953 characterization of graphs containing Sachs subgraphs, we introduce the notion of k-Sachs-critical graphs: graphs in which the removal of any set of k vertices results in a graph that admits a Sachs subgraph. We establish a Tutte-type characterization of these graphs. As a consequence, we provide a short proof of a generalization of Berge’s 1973 characterization theorem of graphs with the odd cycle property that admit a perfect matching.
受Tutte 1953年对包含Sachs子图的图的表征的启发,我们引入了k-Sachs临界图的概念:在图中,移除任意k个顶点的图会得到一个允许Sachs子图的图。我们建立了这些图的tutte型表征。因此,我们提供了一个简短的证明,证明了Berge 1973年关于允许完美匹配的奇循环性质图的表征定理的推广。
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引用次数: 0
Computational aspects of disks enclosing many points 包含许多点的圆盘的计算方面
Pub Date : 2025-01-01 Epub Date: 2025-11-25 DOI: 10.1016/j.procs.2025.10.318
Prosenjit Bose , Guillermo Esteban , Tyler Tuttle
Let S be a set of n points in the plane. We present four different algorithms for finding a pair of points in S such that any disk that contains that pair must contain at least cn points of S, for some constant c > 0. The first is a randomized algorithm that finds a pair in O(n log n) expected time for points in general position and c = 1/2 − 1/√6 ≈ 1/10.9. The second algorithm, also for points in general position, takes O(n2) time but the constant c is improved to 1/2 − 1/√12 ≈ 1/4.7. Using this algorithm and applying binary search, we find the pair that achieves the optimal c in O(n2 log n) time. The final algorithm finds in linear time a pair of points such that any disk through them contains at least n/3 of the points of S when S is in convex position. We also adapt these algorithms to find a pair of points of S in a polygon P such that any geodesic disk that contains that pair must contain at least cn points of S for some constant c > 0.
设S是平面上n个点的集合。我们提出了四种不同的算法来寻找S中的一对点,使得任何包含这对点的磁盘必须包含S的至少cn个点,对于某个常数c >; 0。第一种是随机化算法,它在O(n log n)期望时间内找到一般位置的点,且c = 1/2−1/√6≈1/10.9。第二种算法同样适用于一般位置的点,耗时为O(n2),但常数c改进为1/2−1/√12≈1/4.7。利用该算法和二叉搜索,我们在O(n2 log n)时间内找到了最优c对。最后的算法在线性时间内找到一对点,当S处于凸位置时,通过它们的任何磁盘至少包含n/3个S的点。我们也利用这些算法在多边形P中找到一对S点,使得任何包含这对S点的测地线圆盘在某常数c >; 0下必须包含至少cn个S点。
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引用次数: 0
Minimum-density locating-dominating sets on infinite hexagonal grids with bounded height 高度有界的无限六边形网格上的最小密度定位支配集
Pub Date : 2025-01-01 Epub Date: 2025-11-25 DOI: 10.1016/j.procs.2025.10.327
Arthur C. Gomes , Yoshiko Wakabayashi
A locating-dominating set of a graph G is a dominating set C of G such that, for each pair of distinct vertices u and v not in C, the neighborhood of u in C and the neighborhood of v in C are distinct. We study locating-dominating sets of minimum density on the infinite hexagonal grid Hk with finite height k. We show optimal solutions for Hk, k ≤ 5, and when k is a multiple of 3. We also present an ILP formulation to find periodic locating-dominating sets for Hk, which may be solved in reasonable time, when k is not so large. With this approach, we found feasible solutions for k = 7 and k = 8, which are within at most 1.3% of the optimum. Combining these results, we obtain upper bounds for minimum-density locating-dominating sets on Hk, for all fixed k ≥ 10, which are within 1% of the optimal solution. For the hexagonal grids, only results for the unrestricted case (unbounded height) have appeared in the literature. Results for Hk, k2, presented here have not appeared in the literature.
图G的定位支配集是G的支配集C,对于C中的每一对不同的顶点u和v, u在C中的邻域和v在C中的邻域是不同的。我们研究了高度有限k的无限六边形网格Hk上最小密度的定位支配集。我们给出了k≤5和k是3的倍数时Hk的最优解。我们也提出了一个寻找Hk的周期定位支配集的ILP公式,当k不太大时,可以在合理的时间内求解。通过这种方法,我们找到了k = 7和k = 8的可行解,它们最多在最优解的1.3%以内。结合这些结果,我们得到了Hk上最小密度定位支配集的上界,对于所有固定k≥10,其最优解在1%以内。对于六边形网格,文献中只出现了无限制情况(高度无界)的结果。本文给出的Hk, k≥2的结果未在文献中出现。
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引用次数: 0
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Procedia Computer Science
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