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Optimal Maintenance Decision Method for a Sensor Network Based on Belief Rule Base considering Attribute Correlation 基于信念规则库(考虑属性相关性)的传感器网络最佳维护决策方法
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-27 DOI: 10.1155/2024/6616366
Shaohua Li, Bingxin Liu, Jingying Feng, Ruihua Qi, Wei He, Ming Xu, Linxin Yuan, Shiwen Wang

Optimal maintenance decision for a sensor network aims to intelligently determine the optimal repair time. The accuracy of the optimal maintenance decision method directly affects the reliability and safety of the sensor network. This paper develops a new optimal maintenance decision method based on belief rule base considering attribute correlation (BRB-c), which is designed to address three challenges: the lack of observation data, complex system mechanisms, and characteristic correlation. This method consists of two sections: the health state assessment model and the health state prediction model. Firstly, the former is accomplished through a BRB-c-based health assessment model that considers characteristic correlation. Subsequently, based on the current health state, a Wiener process is used to predict the health state of the sensor network. After predicting the health state, experts are then required to establish the minimum threshold, which in turn determines the optimal maintenance time. To demonstrate the proposed method is effective, a case study for the wireless sensor network (WSN) of oil storage tank was conducted. The experimental data were collected from an actual storage tank sensor network in Hainan Province, China. The experimental results validate the accuracy of the developed optimal maintenance decision model, confirming its capability to efficiently predict the optimal maintenance time.

传感器网络的最佳维护决策旨在智能地确定最佳维修时间。优化维护决策方法的准确性直接影响到传感器网络的可靠性和安全性。本文针对缺乏观测数据、系统机制复杂和特征相关性三大难题,提出了一种基于信念规则库(BRB-c)的新型优化维护决策方法。该方法包括两个部分:健康状态评估模型和健康状态预测模型。首先,前者是通过基于 BRB-c 的健康评估模型完成的,该模型考虑了特征相关性。随后,根据当前的健康状态,使用维纳过程来预测传感器网络的健康状态。预测健康状态后,专家们需要确定最小阈值,进而确定最佳维护时间。为了证明所提方法的有效性,我们对储油罐的无线传感器网络(WSN)进行了案例研究。实验数据来自中国海南省的一个实际储油罐传感器网络。实验结果验证了所开发的最佳维护决策模型的准确性,证实了其有效预测最佳维护时间的能力。
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引用次数: 0
Incorporating Adaptive Sparse Graph Convolutional Neural Networks for Segmentation of Organs at Risk in Radiotherapy 利用自适应稀疏图卷积神经网络分割放疗中的危险器官
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-26 DOI: 10.1155/2024/1728801
Junjie Hu, Chengrong Yu, Shengqian Zhu, Haixian Zhang

Precisely segmenting the organs at risk (OARs) in computed tomography (CT) plays an important role in radiotherapy’s treatment planning, aiding in the protection of critical tissues during irradiation. Renowned deep convolutional neural networks (DCNNs) and prevailing transformer-based architectures are widely utilized to accomplish the segmentation task, showcasing advantages in capturing local and contextual characteristics. Graph convolutional networks (GCNs) are another specialized model designed for processing the nongrid dataset, e.g., citation relationship. The DCNNs and GCNs are considered as two distinct models applicable to the grid and nongrid datasets, respectively. Motivated by the recently developed dynamic-channel GCN (DCGCN) that attempts to leverage the graph structure to enhance the feature extracted by the DCNNs, this paper proposes a novel architecture termed adaptive sparse GCN (ASGCN) to mitigate the inherent limitations in DCGCN from the aspect of node’s representation and adjacency matrix’s construction. For the node’s representation, the global average pooling used in the DCGCN is replaced by the learning mechanism to accommodate the segmentation task. For the adjacency matrix, an adaptive regularization strategy is leveraged to penalize the coefficient in the adjacency matrix, resulting in a sparse one that can better exploit the relationships between nodes. Rigorous experiments on multiple OARs’ segmentation tasks of the head and neck demonstrate that the proposed ASGCN can effectively improve the segmentation accuracy. Comparison between the proposed method and other prevalent architectures further confirms the superiority of the ASGCN.

精确分割计算机断层扫描(CT)中的危险器官(OAR)在放射治疗的治疗计划中发挥着重要作用,有助于在照射过程中保护关键组织。知名的深度卷积神经网络(DCNN)和流行的基于变压器的架构被广泛用于完成分割任务,在捕捉局部和上下文特征方面显示出优势。图卷积网络(GCN)是另一种专门用于处理非网格数据集(如引文关系)的模型。DCNN 和 GCNN 被视为两种不同的模型,分别适用于网格和非网格数据集。最近开发的动态信道 GCN(DCGCN)试图利用图结构来增强 DCNN 提取的特征,受此启发,本文提出了一种称为自适应稀疏 GCN(ASGCN)的新型架构,以从节点表示和邻接矩阵构建方面缓解 DCGCN 的固有局限性。在节点表示方面,DCGCN 中使用的全局平均池化被学习机制取代,以适应分割任务。在邻接矩阵方面,利用自适应正则化策略对邻接矩阵中的系数进行惩罚,从而得到一个能更好地利用节点间关系的稀疏邻接矩阵。在头颈部多个 OAR 的分割任务中进行的严格实验证明,所提出的 ASGCN 能有效提高分割精度。所提方法与其他流行架构的比较进一步证实了 ASGCN 的优越性。
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引用次数: 0
A Branch-and-Price Algorithm for an Integrated Online and Offline Retailing Distribution System with Product Return 具有产品退货功能的线上线下一体化分销系统的分店定价算法
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-24 DOI: 10.1155/2024/8880791
Wanchen Jie, Cheng Pei, Jiating Xu, Hong Yan

This study identifies critical inefficiencies within a dual-channel operation model employed by a fast fashion company, particularly the independent operation of three logistics distribution systems. These systems result in high operational costs and low resource utilization, primarily due to redundant vehicle dispatches to meet the distinct demands of retail store replenishment, online customer orders, and customer return demands, as well as random and scattered return requests leading to vehicle underutilization. To address these challenges, we propose a novel integrated logistics distribution system design and management method tailored for dual-channel sales and distribution businesses. The approach consolidates the three distribution systems into one cohesive framework, thus streamlining the delivery process and reducing vehicle trips by combining retail and customer visits. An optimization algorithm is introduced to factor in inventory and distribution distance, aiming to achieve global optimization in pairing retail store inventory with online customer orders and unifying the distribution of replenishment products, online products, and returned products. The paper contributes to the field by introducing a new variation of the Vehicle Routing Problem (VRP) that arises from an integrated distribution system, combining common VRP issues with more complex challenges. A custom Branch-and-Price (B&P) algorithm is developed to efficiently find optimal routes. Furthermore, we demonstrate the benefits of the integrated system over traditional, segregated systems through real-world data analysis and assess various factors including return rates and inventory conditions. The study also enhances the model by allowing inventory transfers between retail stores, improving inventory distribution balance, and offering solutions for scenarios with critically low inventory levels. Our findings highlight a significant reduction in total operating cost savings of up to 49.9% and vehicle usage when using the integrated distribution system compared to independent two-stage and three-stage systems. The integrated approach enables the utilization of vacant vehicle space and the dynamic selection and combination of tasks, preventing unnecessary mileage and space wastage. Notably, the integration of inventory sharing among retail stores has proven to be a key factor in generating feasible solutions under tight inventory conditions and reducing operational costs and vehicle numbers, with the benefits amplified in large-scale problem instances.

本研究确定了一家快速时尚公司采用的双渠道运营模式中的关键低效之处,特别是三个物流配送系统的独立运营。这些系统导致运营成本高、资源利用率低,主要原因是为满足零售店补货、在线客户订单和客户退货需求的不同需求而进行的冗余车辆调度,以及随机和分散的退货请求导致车辆利用率不足。为了应对这些挑战,我们提出了一种针对双渠道销售和配送业务的新型集成物流配送系统设计和管理方法。该方法将三个配送系统整合为一个具有凝聚力的框架,从而简化了配送流程,并通过结合零售和客户访问减少了车辆行程。本文引入了一种优化算法,将库存和配送距离考虑在内,旨在实现零售店库存与在线客户订单配对的全局优化,并统一补货产品、在线产品和退货产品的配送。本文引入了由综合配送系统引起的车辆路由问题(VRP)的新变体,将常见的 VRP 问题与更复杂的挑战相结合,为该领域做出了贡献。我们开发了一种定制的分支加价格(B&P)算法,以有效地找到最优路线。此外,我们还通过实际数据分析和评估退货率和库存条件等各种因素,证明了集成系统相对于传统隔离系统的优势。这项研究还通过允许零售店之间的库存转移、改善库存分配平衡以及为库存水平极低的情况提供解决方案,对模型进行了改进。我们的研究结果表明,与独立的两阶段和三阶段系统相比,使用综合配送系统可大幅降低总运营成本,最高可节省 49.9% 的成本和车辆使用率。集成方法能够利用空闲的车辆空间,动态选择和组合任务,防止不必要的里程和空间浪费。值得注意的是,零售店之间库存共享的整合已被证明是在库存紧张的条件下产生可行解决方案、降低运营成本和车辆数量的关键因素,其优势在大规模问题实例中得到了放大。
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引用次数: 0
DLLog: An Online Log Parsing Approach for Large-Scale System DLLog:大规模系统的在线日志解析方法
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-16 DOI: 10.1155/2024/5961993
Hailong Cheng, Shi Ying, Xiaoyu Duan, Wanli Yuan

Syslog is a critical data source for analyzing system problems. Converting unstructured log entries into structured log data is necessary for effective log analysis. However, existing log parsing methods demonstrate promising accuracy on limited datasets, but their generalizability and precision are uncertain when applied to diverse log data. Enhancements in these areas are necessary. This paper proposes an online log parsing method called DLLog, which is based on deep learning and has the longest common subsequence. DLLog utilizes the GRU neural network to mine template words and applies the longest common subsequence to parse log entries in real-time. In the offline stage, DLLog combines multiple log features to accurately extract the template words, creating a log template set to assist online log parsing. In the online stage, DLLog parses log entries by calculating the matching degree between the real-time log entry and the log template in the log template set. This method also supports the incremental update of the log template set to handle new log entries generated by systems. We summarized the previous works and validated DLLog using real log data collected from 16 systems. The results demonstrate that DLLog achieves high parsing accuracy, universality, and adaptability.

系统日志是分析系统问题的重要数据源。要进行有效的日志分析,必须将非结构化日志条目转换为结构化日志数据。然而,现有的日志解析方法在有限的数据集上表现出了良好的准确性,但在应用于各种日志数据时,其通用性和准确性还不确定。有必要在这些方面进行改进。本文提出了一种名为 DLLog 的在线日志解析方法,该方法基于深度学习并具有最长公共子序列。DLLog 利用 GRU 神经网络挖掘模板词,并应用最长公共子序列实时解析日志条目。在离线阶段,DLLog 结合多种日志特征,准确提取模板词,创建日志模板集,辅助在线日志解析。在联机阶段,DLLog 通过计算实时日志条目与日志模板集中的日志模板之间的匹配度来解析日志条目。这种方法还支持日志模板集的增量更新,以处理系统生成的新日志条目。我们总结了之前的工作,并使用从 16 个系统中收集的真实日志数据对 DLLog 进行了验证。结果表明,DLLog 实现了较高的解析精度、通用性和适应性。
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引用次数: 0
Leveraging Pretrained Language Models for Enhanced Entity Matching: A Comprehensive Study of Fine-Tuning and Prompt Learning Paradigms 利用预训练语言模型增强实体匹配:微调和提示学习范例的综合研究
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-15 DOI: 10.1155/2024/1941221
Yu Wang, Luyao Zhou, Yuan Wang, Zhenwan Peng

Pretrained Language Models (PLMs) acquire rich prior semantic knowledge during the pretraining phase and utilize it to enhance downstream Natural Language Processing (NLP) tasks. Entity Matching (EM), a fundamental NLP task, aims to determine whether two entity records from different knowledge bases refer to the same real-world entity. This study, for the first time, explores the potential of using a PLM to boost the EM task through two transfer learning techniques, namely, fine-tuning and prompt learning. Our work also represents the first application of the soft prompt in an EM task. Experimental results across eleven EM datasets show that the soft prompt consistently outperforms other methods in terms of F1 scores across all datasets. Additionally, this study also investigates the capability of prompt learning in few-shot learning and observes that the hard prompt achieves the highest F1 scores in both zero-shot and one-shot context. These findings underscore the effectiveness of prompt learning paradigms in tackling challenging EM tasks.

预训练语言模型(PLM)在预训练阶段获得丰富的先验语义知识,并利用这些知识加强下游的自然语言处理(NLP)任务。实体匹配(EM)是一项基本的 NLP 任务,旨在确定来自不同知识库的两个实体记录是否指代同一个现实世界实体。本研究首次探索了使用 PLM 通过两种迁移学习技术(即微调和及时学习)促进 EM 任务的潜力。我们的工作也是软提示在电磁任务中的首次应用。11 个电磁数据集的实验结果表明,在所有数据集上,软提示的 F1 分数始终优于其他方法。此外,本研究还考察了提示学习在少次学习中的能力,并观察到硬提示在零次和一次学习中都获得了最高的 F1 分数。这些发现强调了提示学习范式在处理具有挑战性的电磁任务时的有效性。
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引用次数: 0
Semi-Supervised Predictive Clustering Trees for (Hierarchical) Multi-Label Classification 用于(分层)多标签分类的半监督预测聚类树
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-13 DOI: 10.1155/2024/5610291
Jurica Levatić, Michelangelo Ceci, Dragi Kocev, Sašo Džeroski

Semi-supervised learning (SSL) is a common approach to learning predictive models using not only labeled, but also unlabeled examples. While SSL for the simple tasks of classification and regression has received much attention from the research community, this is not the case for complex prediction tasks with structurally dependent variables, such as multi-label classification and hierarchical multi-label classification. These tasks may require additional information, possibly coming from the underlying distribution in the descriptive space provided by unlabeled examples, to better face the challenging task of simultaneously predicting multiple class labels. In this paper, we investigate this aspect and propose a (hierarchical) multi-label classification method based on semi-supervised learning of predictive clustering trees, which we also extend towards ensemble learning. Extensive experimental evaluation conducted on 24 datasets shows significant advantages of the proposed method and its extension with respect to their supervised counterparts. Moreover, the method preserves interpretability of classical tree-based models.

半监督学习(SSL)是一种常用的预测模型学习方法,它不仅使用已标记的示例,还使用未标记的示例。虽然针对分类和回归等简单任务的半监督学习受到了研究界的广泛关注,但对于具有结构依赖变量的复杂预测任务(如多标签分类和分层多标签分类)来说,情况并非如此。这些任务可能需要额外的信息,这些信息可能来自未标记示例提供的描述空间中的底层分布,以便更好地面对同时预测多个类标签的挑战性任务。在本文中,我们对这方面进行了研究,并提出了一种基于预测聚类树半监督学习的(分层)多标签分类方法,我们还将该方法扩展到了集合学习。我们在 24 个数据集上进行了广泛的实验评估,结果表明,与有监督的分类方法相比,我们提出的方法及其扩展具有显著优势。此外,该方法还保留了基于树的经典模型的可解释性。
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引用次数: 0
Comparison of Bioinspired Techniques for Tracking Maximum Power under Variable Environmental Conditions 生物启发技术在多变环境条件下跟踪最大功率的比较
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-12 DOI: 10.1155/2024/6678384
Dilip Yadav, Nidhi Singh, Nimay Chandra Giri, Vikas Singh Bhadoria, Subrata Kumar Sarker

This paper presents a comparative analysis of bioinspired algorithms employed on a PV system subject to standard conditions, under step-change of irradiance conditions, and a partial shading condition for tracking the global maximum power point (GMPP). Four performance analysis and comparison techniques are artificial bee colony, particle swarm optimization, genetic algorithm, and a new metaheuristic technique called jellyfish optimization, respectively. These existing algorithms are well-known for tracking the GMPP with high efficiency. This paper compares these algorithms based on extracting GMPP in terms of maximum power from a PV module running at a uniform (STC), nonuniform solar irradiation (under step-change of irradiance), and partial shading conditions (PSCs). For analysis and comparison, two modules are taken: 1Soltech-1STH-215P and SolarWorld Industries GmbH Sunmodule plus SW 245 poly module, which are considered to form a panel by connecting four series modules. Comparison is based on maximum power tracking, total execution time, and minimum number of iterations to achieve the GMPP with high tracking efficiency and minimum error. Minitab software finds the regression equation (objective function) for STC, step-changing irradiation, and PSC. The reliability of the data (P-V curves) was measured in terms of p value, R, R2, and VIF. The R2 value comes out to be near 1, which shows the accuracy of the data. The simulation results prove that the new evolutionary jellyfish optimization technique gives better results in terms of higher tracking efficiency with very less time to obtain GMPP in all environmental conditions, with a higher efficiency of 98 to 99.9% with less time of 0.0386 to 0.1219 sec in comparison to ABC, GA, and PSO. The RMSE value for the proposed method JFO (0.59) is much lower than that of ABC, GA, and PSO.

本文比较分析了在标准条件下、辐照度阶跃变化条件下和部分遮挡条件下采用生物启发算法跟踪全局最大功率点(GMPP)的光伏系统。四种性能分析和比较技术分别是人工蜂群、粒子群优化、遗传算法和一种名为水母优化的新元启发式技术。这些现有算法在高效跟踪 GMPP 方面都很有名。本文对这些算法进行了比较,这些算法基于从在均匀(STC)、非均匀太阳辐照(辐照阶跃变化下)和部分遮阳条件(PSCs)下运行的光伏组件中提取最大功率的 GMPP。为了进行分析和比较,我们选取了两个模块:1Soltech-1STH-215P 和 SolarWorld Industries GmbH Sunmodule plus SW 245 poly 模块,通过连接四个串联模块组成一个面板。比较基于最大功率跟踪、总执行时间和最小迭代次数,以实现具有高跟踪效率和最小误差的 GMPP。Minitab 软件找出了 STC、阶跃变化辐照度和 PSC 的回归方程(目标函数)。用 p 值、R、R2 和 VIF 来衡量数据(P-V 曲线)的可靠性。R2 值接近 1,这表明了数据的准确性。仿真结果证明,与 ABC、GA 和 PSO 相比,新的水母进化优化技术在所有环境条件下都能以更短的时间获得更高的跟踪效率,并以更低的时间(0.0386 至 0.1219 秒)获得更高的跟踪效率(98% 至 99.9%)。拟议方法 JFO 的 RMSE 值(0.59)远低于 ABC、GA 和 PSO。
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引用次数: 0
Meta-Learning Enhanced Trade Forecasting: A Neural Framework Leveraging Efficient Multicommodity STL Decomposition 元学习增强型贸易预测:利用高效多商品 STL 分解的神经框架
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-03 DOI: 10.1155/2024/6176898
Bohan Ma, Yushan Xue, Jing Chen, Fangfang Sun

In the dynamic global trade environment, accurately predicting trade values of diverse commodities is challenged by unpredictable economic and political changes. This study introduces the Meta-TFSTL framework, an innovative neural model that integrates Meta-Learning Enhanced Trade Forecasting with efficient multicommodity STL decomposition to adeptly navigate the complexities of forecasting. Our approach begins with STL decomposition to partition trade value sequences into seasonal, trend, and residual elements, identifying a potential 10-month economic cycle through the Ljung–Box test. The model employs a dual-channel spatiotemporal encoder for processing these components, ensuring a comprehensive grasp of temporal correlations. By constructing spatial and temporal graphs leveraging correlation matrices and graph embeddings and introducing fused attention and multitasking strategies at the decoding phase, Meta-TFSTL surpasses benchmark models in performance. Additionally, integrating meta-learning and fine-tuning techniques enhances shared knowledge across import and export trade predictions. Ultimately, our research significantly advances the precision and efficiency of trade forecasting in a volatile global economic scenario.

在动态的全球贸易环境中,准确预测各种商品的贸易价值面临着不可预测的经济和政治变化的挑战。本研究介绍了 Meta-TFSTL 框架,这是一个创新的神经模型,它将元学习增强型贸易预测与高效的多商品 STL 分解相结合,从而巧妙地驾驭复杂的预测。我们的方法从 STL 分解开始,将贸易价值序列划分为季节、趋势和残差元素,并通过 Ljung-Box 检验确定潜在的 10 个月经济周期。该模型采用双通道时空编码器处理这些成分,确保全面掌握时间相关性。通过利用相关矩阵和图嵌入构建空间和时间图,并在解码阶段引入融合注意力和多任务处理策略,Meta-TFSTL 在性能上超越了基准模型。此外,整合元学习和微调技术还增强了进出口贸易预测的共享知识。最终,我们的研究大大提高了全球经济动荡形势下贸易预测的精度和效率。
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引用次数: 0
Multiobjective Optimization of Diesel Particulate Filter Regeneration Conditions Based on Machine Learning Combined with Intelligent Algorithms 基于机器学习与智能算法相结合的柴油机微粒过滤器再生条件多目标优化技术
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-01 DOI: 10.1155/2024/7775139
Yuhua Wang, Jinlong Li, Guiyong Wang, Guisheng Chen, Qianqiao Shen, Boshun Zeng, Shuchao He

To reduce diesel emissions and fuel consumption and improve DPF regeneration performance, a multiobjective optimization method for DPF regeneration conditions, combined with nondominated sorting genetic algorithms (NSGA-III) and a back propagation neural network (BPNN) prediction model, is proposed. In NSGA-III, DPF regeneration temperature (T4 and T5), O2, NOx, smoke, and brake-specific fuel consumption (BSFC) are optimized by adjusting the engine injection control parameters. An improved seagull optimization algorithm (ISOA) is proposed to enhance the accuracy of BPNN predictions. The ISOA-BP diesel engine regeneration condition prediction model is established to evaluate fitness. The optimized fuel injection parameters are programmed into the engine’s electronic control unit (ECU) for experimental validation through steady-state testing, DPF active regeneration testing, and WHTC transient cycle testing. The results demonstrate that the introduced ISOA algorithm exhibits faster convergence and improved search abilities, effectively addressing calculation accuracy challenges. A comparison between the SOA-BPNN and ISOA-BPNN models shows the superior accuracy of the latter, with reduced errors and improved R2 values. The optimization method, integrating NSGA-III and ISOA-BPNN, achieves multiobjective calibration for T4 and T5 temperatures. Steady-state testing reveals average increases of 3.14%, 2.07%, and 10.79% in T4, T5, and exhaust oxygen concentrations, while NOx, smoke, and BSFC exhibit average decreases of 8.68%, 12.07%, and 1.03%. Regeneration experiments affirm the efficiency of the proposed method, with DPF regeneration reaching 88.2% and notable improvements in T4, T5, and oxygen concentrations during WHTC transient testing. This research provides a promising and effective solution for calibrating the regeneration temperature of DPF, thus reducing emissions and fuel consumption of diesel engines while ensuring safe and efficient DPF regeneration.

为了减少柴油排放和燃料消耗,提高柴油微粒滤清器(DPF)的再生性能,提出了一种结合非支配排序遗传算法(NSGA-III)和反向传播神经网络(BPNN)预测模型的柴油微粒滤清器(DPF)再生条件多目标优化方法。在 NSGA-III 中,通过调整发动机喷油控制参数来优化 DPF 再生温度(T4 和 T5)、O2、NOx、烟雾和制动油耗(BSFC)。为提高 BPNN 预测的准确性,提出了一种改进的海鸥优化算法(ISOA)。建立了 ISOA-BP 柴油发动机再生条件预测模型来评估适应性。将优化后的燃油喷射参数编程到发动机的电子控制单元(ECU)中,通过稳态测试、柴油微粒滤清器主动再生测试和 WHTC 瞬态循环测试进行实验验证。结果表明,引入的 ISOA 算法收敛速度更快,搜索能力更强,能有效解决计算精度难题。SOA-BPNN 模型和 ISOA-BPNN 模型之间的比较表明,后者的精度更高,误差更小,R2 值更高。集成了 NSGA-III 和 ISOA-BPNN 的优化方法实现了 T4 和 T5 温度的多目标校准。稳态测试显示,T4、T5 和排气氧浓度分别平均增加了 3.14%、2.07% 和 10.79%,而氮氧化物、烟雾和 BSFC 分别平均减少了 8.68%、12.07% 和 1.03%。再生实验证实了所提方法的高效性,在 WHTC 瞬态测试中,DPF 的再生率达到 88.2%,T4、T5 和氧浓度也有显著改善。这项研究为校准柴油微粒滤清器的再生温度提供了一种前景广阔的有效解决方案,从而在确保柴油微粒滤清器安全高效再生的同时,减少柴油发动机的排放和油耗。
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引用次数: 0
Physics-Informed Neural Networks for Solving High-Index Differential-Algebraic Equation Systems Based on Radau Methods 基于 Radau 方法的用于求解高指数微分代数方程系统的物理信息神经网络
IF 7 2区 计算机科学 Q1 Mathematics Pub Date : 2024-03-29 DOI: 10.1155/2024/6641674
Jiasheng Chen, Juan Tang, Ming Yan, Shuai Lai, Kun Liang, Jianguang Lu, Wenqiang Yang

As is well known, differential algebraic equations (DAEs), which are able to describe dynamic changes and underlying constraints, have been widely applied in engineering fields such as fluid dynamics, multi-body dynamics, mechanical systems, and control theory. In practical physical modeling within these domains, the systems often generate high-index DAEs. Classical implicit numerical methods typically result in varying order reduction of numerical accuracy when solving high-index systems. Recently, the physics-informed neural networks (PINNs) have gained attention for solving DAE systems. However, it faces challenges like the inability to directly solve high-index systems, lower predictive accuracy, and weaker generalization capabilities. In this paper, we propose a PINN computational framework, combined Radau IIA numerical method with an improved fully connected neural network structure, to directly solve high-index DAEs. Furthermore, we employ a domain decomposition strategy to enhance solution accuracy. We conduct numerical experiments with two classical high-index systems as illustrative examples, investigating how different orders and time-step sizes of the Radau IIA method affect the accuracy of neural network solutions. For different time-step sizes, the experimental results indicate that utilizing a 5th-order Radau IIA method in the PINN achieves a high level of system accuracy and stability. Specifically, the absolute errors for all differential variables remain as low as 10−6, and the absolute errors for algebraic variables are maintained at 10−5. Therefore, our method exhibits excellent computational accuracy and strong generalization capabilities, providing a feasible approach for the high-precision solution of larger-scale DAEs with higher indices or challenging high-dimensional partial differential algebraic equation systems.

众所周知,微分代数方程(DAE)能够描述动态变化和潜在约束,已被广泛应用于流体动力学、多体动力学、机械系统和控制理论等工程领域。在这些领域的实际物理建模中,系统通常会产生高指数 DAE。在求解高指数系统时,经典的隐式数值方法通常会导致数值精度的不同阶降低。最近,物理信息神经网络(PINNs)在求解 DAE 系统方面受到关注。然而,它面临着无法直接求解高指数系统、预测精度较低、泛化能力较弱等挑战。本文提出了一种 PINN 计算框架,将 Radau IIA 数值方法与改进的全连接神经网络结构相结合,直接求解高指数 DAE。此外,我们还采用了领域分解策略来提高求解精度。我们以两个经典高指数系统为例进行了数值实验,研究了 Radau IIA 方法的不同阶数和时间步长对神经网络求解精度的影响。对于不同的时间步长,实验结果表明,在 PINN 中使用 5 阶 Radau IIA 方法可以实现较高的系统精度和稳定性。具体来说,所有微分变量的绝对误差保持在 10-6 以下,代数变量的绝对误差保持在 10-5。因此,我们的方法表现出优异的计算精度和强大的泛化能力,为高精度求解更大规模、更高指数的 DAE 或具有挑战性的高维偏微分代数方程系统提供了可行的方法。
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International Journal of Intelligent Systems
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