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Adaptive ant colony optimization with crossover-guided search for dynamic multi-criteria traveling salesman problem 动态多准则旅行商问题的交叉引导搜索自适应蚁群优化
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-21 DOI: 10.1016/j.asoc.2026.114668
Sanjai Pathak , Ashish Mani , Amlan Chatterjee
Many real-world instances of the dynamic multi-criteria traveling salesman problem (DMC-TSP) present unpredictable challenges, making them complex dynamic optimization problems. These challenges arise from factors such as the addition of new locations, fluctuating travel times and costs due to changing traffic or weather conditions, or cancellations of pre-scheduled stops, requiring real-time adaptive optimization strategies. While ant colony optimization (ACO) has proven effective for static optimization problems, existing ACO variants have limited adaptability for dynamic multi-criteria environments. To address this significant gap, we introduce a generic test problem generator explicitly for DMC-TSP, capable of creating benchmark problems with known global-optimal solutions. We then propose a novel self-adaptive ant optimization (SAAO) algorithm tailored for DMC-TSP, integrating two new edge assembly crossover operators and a self-adaptive local search operator, explicitly designed to mitigate local-optima stagnation observed in traditional swarm algorithms. Our method demonstrates an effective balance between exploration and exploitation. Comprehensive comparative experiments against four state-of-the-art algorithms, supported by rigorous statistical validation, confirm that the proposed method significantly outperforms existing techniques—achieving a 15–22% improvement in offline performance over baseline algorithms—in terms of adaptability, robustness, and overall efficiency in solving DMC-TSPs.
动态多准则旅行商问题(DMC-TSP)的许多实际实例都存在不可预测的挑战,使其成为复杂的动态优化问题。这些挑战来自于增加新地点、交通或天气条件变化导致的旅行时间和成本波动、或取消预定站点等因素,需要实时自适应优化策略。虽然蚁群算法在静态优化问题上是有效的,但现有的蚁群算法对动态多准则环境的适应性有限。为了解决这一重大差距,我们明确地为DMC-TSP引入了一个通用的测试问题生成器,能够用已知的全局最优解创建基准问题。然后,我们提出了一种针对DMC-TSP的新型自适应蚂蚁优化(SAAO)算法,该算法集成了两个新的边缘组装交叉算子和一个自适应局部搜索算子,明确设计用于减轻传统群算法中观察到的局部最优停滞。我们的方法证明了勘探和开采之间的有效平衡。在严格的统计验证的支持下,与四种最先进的算法进行了全面的比较实验,证实了所提出的方法在求解dmc - tsp的适应性、鲁棒性和整体效率方面显著优于现有技术,比基线算法的离线性能提高了15-22%。
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引用次数: 0
Multi-objective evolutionary algorithms and integer programming for the optimization of underwater acoustic sensor network design 基于多目标进化算法和整数规划的水声传感器网络优化设计
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-21 DOI: 10.1016/j.asoc.2026.114685
Laurent Lemarchand , Ronan Serré , Bilal Latrach , Mathis Hamelotte , Catherine Dezan , David Dellong , Myriam Lajaunie
Acoustic surveillance of oceans is of great interest for monitoring both wildlife and anthropogenic activities. In this paper, we focus on passive, non-communicating sonar systems that are suitable for efficiently monitoring the marine environment. With such a network, no live tracking is possible; instead, we aim to record activities in the most discreet manner for surveillance purposes. General guidelines can be established to assist in designing a network of underwater acoustic sensors. These guidelines serve as both objectives and constraints, such as sensor detection capabilities, deployment area alternatives, acoustic propagation properties, and potential noise source areas.
The optimization of network design, in terms of the distribution and locations of sensors (or groups of sensors physically stacked on a mooring line, for example, and referred to as anchors), involves trade-offs between network cost, coverage of the targeted marine area, network redundancy, and localization capabilities. In this paper, we propose several approaches to address these various constraints and optimization objectives. These approaches rely on numerical simulations of underwater acoustic propagation, which allow for accounting for environmental characteristics such as bathymetry, sea floor properties, and sound speed profiles.
A discretized model of the network design problem is presented. It relies on a grid representation of anchor locations, and a complete Integer Programming formulation of the problem is defined. The model is used to identify sets of solutions that represent trade-offs among the different optimization criteria. Both exact and heuristic multi-objective approaches are proposed to exploit the model. The former are applicable to smaller sets of instances and optimization objectives than the latter. However, the exact approaches enable the derivation of precise bounds on the optimized criteria, as well as initial solutions that can enhance heuristic multi-objective methods based on evolutionary multi-objective optimization frameworks. This supports the designer’s choice of the final network configuration.
Numerical experiments conducted on a set of sixteen semi-synthetic test cases, as well as on an actual network deployed at sea, demonstrate that an exact ϵ-constraint method is applicable to industrial-scale instances involving up to 2000 monitoring points. It provides the complete Pareto set for the coverage vs. cost problem in a few minutes. One of the proposed heuristic methods yields, in less than a second, sets of solutions with a loss of quality below 1% for the same design problem. When the triangulation capabilities of the network are optimized as a complementary objective for noise source localization, hybrid heuristic approaches are able to improve the results of the basic algorithm by up to 156% on average.
海洋声学监测对于监测野生动物和人为活动都具有重要意义。在本文中,我们重点研究了适用于有效监测海洋环境的被动、非通信声纳系统。有了这样的网络,就不可能进行实时跟踪;相反,我们的目标是以最谨慎的方式记录活动,用于监视目的。可以建立一般准则来协助设计水声传感器网络。这些指导方针既是目标也是约束条件,例如传感器探测能力、部署区域选择、声学传播特性和潜在噪声源区域。根据传感器的分布和位置(或物理上堆叠在系泊线上的传感器组,例如,称为锚),网络设计的优化涉及网络成本、目标海洋区域的覆盖范围、网络冗余和定位能力之间的权衡。在本文中,我们提出了几种方法来解决这些不同的约束和优化目标。这些方法依赖于水声传播的数值模拟,从而考虑到环境特征,如测深、海底特性和声速分布。提出了网络设计问题的离散化模型。它依赖于锚点位置的网格表示,并定义了问题的完整整数规划公式。该模型用于识别代表不同优化标准之间权衡的解决方案集。提出了精确多目标和启发式多目标两种方法来开发该模型。前者比后者适用于更小的实例集和优化目标。然而,精确的方法可以推导出优化准则的精确边界,以及可以增强基于进化多目标优化框架的启发式多目标方法的初始解。这支持设计者选择最终的网络配置。在16个半综合测试用例和海上部署的实际网络上进行的数值实验表明,一种精确的ϵ-constraint方法适用于涉及多达2000个监测点的工业规模实例。它在几分钟内提供了覆盖与成本问题的完整Pareto集。其中一种提出的启发式方法,在不到一秒钟的时间内,为相同的设计问题提供了一组质量损失低于1%的解决方案。当将网络的三角测量能力作为噪声源定位的补充目标进行优化时,混合启发式方法平均可将基本算法的结果提高156%。
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引用次数: 0
Earth observation satellite scheduling problem for multitemporal revisit tasks: A variable neighborhood search algorithm 多时间重访任务的对地观测卫星调度问题:一种变邻域搜索算法
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-21 DOI: 10.1016/j.asoc.2026.114688
Ligang Xing , Xiaoxuan Hu , Waiming Zhu , Xutong Zhu , Wei Xia
After natural disasters such as floods and earthquakes occur, Earth observation satellites (EOSs) often need to revisit affected areas multiple times to acquire multitemporal images. Such observation tasks are referred to as multitemporal revisit tasks. In this paper, we study the Earth observation satellite scheduling problem for multitemporal revisit tasks, which is a combinatorial optimization problem involving multiple practical constraints. This problem exhibits more complex constraints and is more challenging to solve than the traditional Earth observation satellite scheduling problem. Firstly, we formally define the problem and formulate it with a mixed integer nonlinear programming model. Secondly, we develop a variable neighborhood search algorithm to search for the optimal solution. This algorithm embeds a dynamic greedy heuristic, which can efficiently generate a schedule for EOSs. Thirdly, computational experiments demonstrate the efficiency and stability of the algorithm. Moreover, the CPU time of the algorithm increases linearly with both task count and revisit number, indicating good scalability.
在洪水、地震等自然灾害发生后,对地观测卫星往往需要对受灾地区进行多次重访以获取多时相影像。这样的观察任务被称为多时间重访任务。本文研究了多时间重访任务的对地观测卫星调度问题,这是一个涉及多个实际约束的组合优化问题。与传统的对地观测卫星调度问题相比,该问题约束条件更为复杂,求解难度更大。首先,对问题进行了形式化定义,并用混合整数非线性规划模型将问题形式化。其次,我们开发了一种可变邻域搜索算法来搜索最优解。该算法嵌入了一种动态贪婪启发式算法,可以有效地生成EOSs调度。最后,通过计算实验验证了算法的有效性和稳定性。该算法的CPU时间随任务数和重访次数线性增加,具有良好的可扩展性。
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引用次数: 0
A novel model of fuzzy rough set with applications in data classification and image segmentation 一种新的模糊粗糙集模型及其在数据分类和图像分割中的应用
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-21 DOI: 10.1016/j.asoc.2026.114677
Xiaofeng Wen , Yaoyao Fan , Fuchun Sun , Xiaohong Zhang , Kai Sun , Hang Xiao , Pengkun Liu
Addressing the issue that existing fuzzy rough set models largely rely on t-norm/t-conorm operators satisfying the associative law, thereby limiting their adaptability and expressive power, this paper introduces two types of non-associative logic operators, 1-micanorm and 0-micanorm, to propose a novel variable precision (W, M)-fuzzy rough set (abbreviated as VWMFRS) model. On one hand, this model breaks through the limitation of relying on associative logical connectives when constructing upper and lower approximation operators. On the other hand, it flexibly adjusts the granularity size during the fuzzy approximation process through variable precision parameters, significantly enhancing the flexibility and adaptability of the new fuzzy rough set model. Based on the VWMFRS model, a new attribute reduction algorithm is designed to achieve more efficient feature space dimensionality reduction. Classification experiments on the UCI dataset show that VWMFRS achieves an average accuracy improvement of 14.69% compared to various typical fuzzy rough set models (including recently proposed improved fuzzy rough set models). Additionally, this paper applies the VWMFRS model to deep learning-based image segmentation tasks. By leveraging the fuzzy lower approximation operator in the VWMFRS model, a new loss function called VFRSLoss is designed. Through segmentation experiments on multiple typical image datasets using the UNet++ architecture, the results show that using UNet++ with VFRSLoss for image segmentation further improves metrics such as IoU and F1-score. The model’s unique strength in uncertainty quantification endows it with excellent performance in these two tasks, verifying its versatility and effectiveness for uncertainty-aware learning scenarios.
针对现有模糊粗糙集模型在很大程度上依赖于满足关联律的t-norm/t- connorm算子,从而限制了其适应性和表达能力的问题,本文引入了1-微规范和0-微规范两种非关联逻辑算子,提出了一种新的变精度(W, M)-模糊粗糙集(简称VWMFRS)模型。一方面,该模型突破了构造上下逼近算子时依赖关联逻辑连接词的限制;另一方面,通过可变精度参数灵活调整模糊逼近过程中的粒度大小,显著增强了新模糊粗糙集模型的灵活性和适应性。在VWMFRS模型的基础上,设计了一种新的属性约简算法,以实现更高效的特征空间降维。在UCI数据集上进行的分类实验表明,与各种典型模糊粗糙集模型(包括最近提出的改进模糊粗糙集模型)相比,VWMFRS的平均准确率提高了14.69%。此外,本文还将VWMFRS模型应用于基于深度学习的图像分割任务。利用VWMFRS模型中的模糊下逼近算子,设计了一种新的损失函数VFRSLoss。通过使用un++架构对多个典型图像数据集进行分割实验,结果表明,使用带有VFRSLoss的un++进行图像分割可以进一步提高IoU和F1-score等指标。该模型在不确定性量化方面的独特优势使其在这两项任务中表现出色,验证了其在不确定性感知学习场景中的通用性和有效性。
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引用次数: 0
A two-stage solution incorporating large neighborhood search for the priority-aware 2D bin packing problem in furniture manufacturing 基于大邻域搜索的家具制造中优先级感知二维装箱问题的两阶段解决方案
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-20 DOI: 10.1016/j.asoc.2026.114659
Jianming Wang , Yang Xu , Zhouwang Yang
This paper explores the two-dimensional bin packing problem involving both rectangular and irregular shapes, with a focus on part priority, a critical factor in the furniture manufacturing and woodworking industries. Part priority is essential due to specific processing requirements and customer urgency. We propose a two-stage methodology aimed at minimizing both the number of bins containing priority parts and the total number of bins utilized. In the first stage, multiple parts are iteratively paired and approximated as rectangles to maximize the overall benefit of all pairings, diverging from traditional methods that focus on pairing two specific parts. The second stage introduces a rectangular packing module that incorporates two large-neighborhood search (LNS) algorithms. This module employs efficient operators that respect the priority objective, addressing the difficulty of large-scale priority problems. We evaluate the strengths and limitations of the rectangularization approach through experiments on irregular bin packing benchmarks and assess its applicability. Experiments on rectangular benchmark instances demonstrate the superiority of our approach in large-scale scenarios. Furthermore, tests on industrial data reveal that our method increases material utilization by 0.86% and reduces the number of priority bins by 1.71%, surpassing leading commercial software in both objectives. These results suggest that the proposed approach can be integrated into cutting software to provide practical and efficient solutions, thereby advancing intelligent manufacturing.
本文探讨了涉及矩形和不规则形状的二维装箱问题,重点是零件优先级,这是家具制造和木工行业的一个关键因素。由于特殊的加工要求和客户的紧急情况,零件优先级是必不可少的。我们提出了一种两阶段的方法,旨在最小化包含优先级部分的箱子的数量和使用的箱子的总数。在第一阶段,将多个部分迭代配对并近似为矩形,以最大限度地提高所有配对的总体效益,这与传统方法专注于配对两个特定部分的方法不同。第二阶段介绍了一个矩形封装模块,该模块包含两个大邻域搜索(LNS)算法。该模块采用尊重优先目标的高效算子,解决了大规模优先问题的难点。我们通过不规则箱子包装基准的实验来评估矩形化方法的优势和局限性,并评估其适用性。矩形基准实例的实验证明了我们的方法在大规模场景中的优越性。此外,对工业数据的测试表明,我们的方法提高了0.86%的材料利用率,减少了1.71%的优先箱数,在这两个目标上都超过了领先的商业软件。这些结果表明,该方法可以集成到切割软件中,提供实用高效的解决方案,从而推进智能制造。
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引用次数: 0
TCTAuth: Triple convolutional transformer-based continuous authentication on smartphones TCTAuth:智能手机上基于三重卷积变压器的连续认证
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-20 DOI: 10.1016/j.asoc.2026.114669
Zihao Li , Gang Liu , Yijing Chen , Quan Wang , Xvlong Zhao , Yuanze Zhang
Continuous authentication is crucial for ensuring security and privacy on smartphones amidst the widespread use of mobile internet and smartphones. Utilizing built-in sensors for continuous authentication has garnered interest, and deep learning demonstrates potential in extracting sensor information. However, existing methods require ample training data, which is often limited in the case of legitimate user samples. Additionally, some deep learning methods represented by convolutional neural network (CNN) struggle to capture long-range dependencies in behavioral sequences. To tackle these limitations, we present TCTAuth, a continuous authentication system underpinned by a triple convolutional transformer architecture. It utilizes data from motion sensors on smartphones to monitor user behavior patterns. TCTAuth can easily accommodate new users at any time, independent of the training data, without the need for retraining. We design a network called CoTNet that combines CNN and transformer for feature extraction. Convolutional layers and transformer encoders are stacked vertically in the network. CoTNet demonstrates advantages in learning local features from behavioral data and global features with long-range dependencies. To improve robustness, the model is trained by combining mini-batch hard mining (MBHM) triplet loss and binary cross-entropy (BCE) loss. We conduct extensive experiments on two publicly available datasets and a dataset collected by ourselves. TCTAuth achieves reliable authentication using only a single legitimate user sample, i.e., user interaction of 1 s. The experimental results demonstrate that TCTAuth achieves a maximum of 1.81% Equal Error Rate (EER) and 98.13% F1-Score, outperforming other representative methods.
随着移动互联网和智能手机的广泛使用,持续认证对于确保智能手机的安全和隐私至关重要。利用内置传感器进行连续认证已经引起了人们的兴趣,深度学习展示了提取传感器信息的潜力。然而,现有的方法需要大量的训练数据,而这些数据在合法用户样本的情况下往往是有限的。此外,以卷积神经网络(CNN)为代表的一些深度学习方法难以捕获行为序列中的长期依赖关系。为了解决这些限制,我们提出了TCTAuth,一个由三卷积变压器架构支持的连续认证系统。它利用智能手机上的运动传感器的数据来监控用户的行为模式。TCTAuth可以随时方便地容纳新用户,独立于训练数据,无需再培训。我们设计了一个叫做CoTNet的网络,它结合了CNN和transformer来进行特征提取。卷积层和变压器编码器在网络中垂直堆叠。CoTNet展示了从行为数据中学习局部特征和具有长期依赖关系的全局特征的优势。为了提高模型的鲁棒性,将小批量硬挖掘(MBHM)三重态损失和二值交叉熵(BCE)损失结合起来训练模型。我们在两个公开可用的数据集和一个自己收集的数据集上进行了广泛的实验。TCTAuth仅使用一个合法用户样本,即用户交互时间为1秒,即可实现可靠的身份验证。实验结果表明,TCTAuth的最大等效错误率(Equal Error Rate, EER)为1.81%,F1-Score为98.13%,优于其他代表性方法。
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引用次数: 0
Frequency hopping synchronization for satellite communication system using reinforcement learning 基于强化学习的卫星通信系统跳频同步
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-19 DOI: 10.1016/j.asoc.2026.114648
Sangkeum Lee
Satellite communication systems (SCSs) deployed in tactical environments must maintain reliable links under severe interference, jamming attempts, and large path loss. From a soft computing perspective, frequency-hopping (FH) synchronization in such uncertain and highly dynamic channels is a sequential decision problem that benefits from adaptive, data-driven control. In this paper, we propose a reinforcement learning (RL)–driven FH synchronization framework for dehop–rehop SCSs, where a conventional serial search performs coarse acquisition and a proximal policy optimization (PPO) agent with a GCN–Bi-LSTM network refines the uplink hop timing. The RL agent interacts with the stochastic channel, observing signal-energy patterns and learning to minimize both mean acquisition time (MAT) and mean-squared error (MSE) of the timing estimate without requiring an explicit channel model. Mathematical analysis and Monte Carlo simulations show that the proposed hybrid method reduces the average number of hops required for synchronization by 58.17 % and the MSE of uplink hop-timing estimation by 76.95 % compared with a conventional serial-search scheme. Relative to an early–late-gate synchronization method that combines serial search with an LSTM network, the average number of hops is further reduced by 12.24 % and the MSE by 18.5 %. These results demonstrate that the PPO-based GCN–Bi-LSTM agent provides a flexible soft-computing solution that can adapt to rapidly varying SCS operating conditions while significantly improving FH synchronization performance.
部署在战术环境中的卫星通信系统(scs)必须在严重干扰、干扰企图和大路径损失下保持可靠的链路。从软计算的角度来看,在这种不确定和高度动态的信道中,跳频(FH)同步是一个顺序决策问题,它受益于自适应的数据驱动控制。在本文中,我们提出了一种用于脱跳-重跳的强化学习(RL)驱动的跳频同步框架,其中传统的串行搜索执行粗采集,而具有GCN-Bi-LSTM网络的近端策略优化(PPO)代理细化上行跳定时。RL代理与随机信道相互作用,观察信号能量模式并学习最小化定时估计的平均采集时间(MAT)和均方误差(MSE),而不需要显式信道模型。数学分析和蒙特卡罗仿真表明,与传统的串行搜索方案相比,该方法同步所需的平均跳数减少了58.17 %,上行跳时估计的MSE减少了76.95 %。相对于将串行搜索与LSTM网络相结合的早-晚门同步方法,平均跳数进一步减少了12.24 %,MSE进一步减少了18.5 %。这些结果表明,基于ppo的GCN-Bi-LSTM代理提供了一种灵活的软计算解决方案,可以适应快速变化的SCS操作条件,同时显著提高跳频同步性能。
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引用次数: 0
A robust sparse twin SVM with ϵ-zone insensitive two-parameter pinball loss for large-scale binary classification 具有ϵ-zone不敏感双参数弹球损失的鲁棒稀疏双支持向量机用于大规模二值分类
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-19 DOI: 10.1016/j.asoc.2026.114653
Tiantian Jiang, Guolin Yu, Jun Ma
A novel ϵ-zone-insensitive two-parameter pinball loss function tailored for large-scale binary classification is introduced in this study. By integrating this loss with a capped L2,p-metric, a robust sparse classification framework termed CL2,p-TPSP-TSVM is proposed, which is designed to jointly optimize computational efficiency and outlier robustness. Support vector cardinality of the model is dynamically regulated via parametric adaptation of S, s, and ϵ, which allows for scalable processing of high-dimensional data. To suppress outlier interference, a mechanism for minimizing intra-class distance dispersion under the capped L2,p-norm is incorporated into the model. To address the inherent non-convexity and non-smoothness of the optimization problem, a convergent iterative algorithm is devised, with the property of monotonic descent guaranteed. Each iteration is decomposed into sequential convex subproblems with closed-form solutions, which ensures computational tractability. Empirical evaluations conducted on 10 large-scale benchmark datasets show statistically significant improvements in classification accuracy and computational efficiency, while the model retains robustness in comparison with state-of-the-art methods. This framework provides support for the advancement of scalable, high-performance machine learning in noisy, high-dimensional regimes.
本文提出了一种适用于大规模二值分类的新型ϵ-zone-insensitive双参数弹球损失函数。通过将这种损失与一个有上限的L2,p-度量相结合,提出了一个鲁棒稀疏分类框架CL2,p-TPSP-TSVM,该框架旨在共同优化计算效率和离群鲁棒性。模型的支持向量基数通过S、S和λ的参数适应来动态调节,这允许对高维数据进行可扩展处理。为了抑制离群干扰,模型中加入了一种机制,可以在上限L2 p范数下最小化类内距离色散。针对优化问题固有的非凸性和非光滑性,设计了一种保证单调下降特性的收敛迭代算法。每次迭代分解为具有闭解的连续凸子问题,保证了计算的可跟踪性。在10个大规模基准数据集上进行的实证评估表明,该模型在分类精度和计算效率上有统计学上的显著提高,同时与现有方法相比,该模型保持了鲁棒性。该框架为嘈杂、高维环境下的可扩展、高性能机器学习提供了支持。
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引用次数: 0
An adaptive multi-stage clustering-based differential evolution algorithm with dynamic niching for robust solving of high-dimensional nonlinear equation systems 基于动态小生境的多阶段聚类自适应差分进化算法用于高维非线性方程组的鲁棒求解
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-18 DOI: 10.1016/j.asoc.2026.114666
Wulfran Fendzi Mbasso , Hassan M. Hussein Farh , Ambe Harrison , Abdullrahman A. Al-Shamma
Solving high-dimensional systems of Nonlinear Equation Systems (NES) requires search procedures that preserve diversity while converging reliably and, where applicable, discovering multiple roots. We propose the Adaptive Multi-stage Clustering Differential Evolution (AMCDE) algorithm, which couples fitness-aware clustering with entropy-triggered dynamic niching and feeds cluster-level convergence signals into mutation/crossover control in Differential Evolution (DE). We evaluate AMCDE on 110 NES benchmarks under a matched computation budget (population size of 100 and 10,000 function evaluations) and a uniform success threshold ‖F(x)‖₂ ≤ 10⁻⁸ (relaxed to 10⁻⁶ for flagged ill-conditioned subsets). Distinct-root discovery is quantified using Euclidean (ℓ₂) distance–based deduplication at 10⁻³ (optional pre-cluster at 10⁻⁴). We compare against recent NES-oriented competitors and adaptive DE baselines, including JADE (Adaptive Differential Evolution with Optional External Archive) and SHADE (Success-History Adaptive Differential Evolution), re-implemented on the same platform with grid-tuned settings for fairness. AMCDE attains the best median success rate and residuals, with higher distinct-root coverage at comparable runtimes; nonparametric Wilcoxon tests and Friedman tests with Holm correction confirm significance. A critical-difference diagram places AMCDE in the top clique. These findings indicate that coupling adaptive clustering with dynamic niching yields a robust, scalable NES solver that preserves exploration without sacrificing convergence efficiency. All comparative results are validated using non-parametric statistics (Wilcoxon signed-rank and Friedman tests with Holm post-hoc, α=0.05), with our method showing statistically significant gains over competing DE variants across the benchmark suite.
求解非线性方程系统(NES)的高维系统要求搜索程序在保持多样性的同时可靠地收敛,并在适用的情况下发现多个根。提出了一种自适应多阶段聚类差分进化(AMCDE)算法,该算法将适应度感知聚类与熵触发的动态小生境相结合,并将聚类级收敛信号输入差分进化(DE)的突变/交叉控制中。我们在匹配的计算预算(人口规模为100和10,000个功能评估)和统一的成功阈值‖F(x)‖₂≤ 10⁻⁸(对于标记的病态子集松弛到10⁻⁶)下,在110个NES基准上评估AMCDE。在10⁻³ (可选的10⁻⁴预聚类)使用基于欧氏(r₂)距离的重复数据删除来量化不同的根发现。我们比较了最近面向nes的竞争对手和自适应DE基线,包括JADE(带有可选外部存档的自适应差异进化)和SHADE(成功历史自适应差异进化),它们在同一平台上重新实现,具有网格调整的公平性设置。AMCDE获得了最好的中位数成功率和残差,在可比运行时具有更高的不同根覆盖率;非参数Wilcoxon检验和带有Holm校正的Friedman检验证实了显著性。一个临界差图将AMCDE置于最顶端的集团中。这些发现表明,将自适应聚类与动态小生境相结合,可以产生一个鲁棒的、可扩展的NES求解器,在不牺牲收敛效率的情况下保持探索。所有比较结果都使用非参数统计数据进行验证(Wilcoxon符号秩和Friedman检验与Holm事后检验,α=0.05),我们的方法显示在基准套件中竞争DE变体的统计显著收益。
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引用次数: 0
Circular intuitionistic fuzzy Dombi Bonferroni mean aggregation operators and MEREC-RAFSI approach for optimizing vehicle routing software 基于循环直觉模糊Dombi Bonferroni均值聚合算子和MEREC-RAFSI方法的车辆路线软件优化
IF 6.6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-01-17 DOI: 10.1016/j.asoc.2026.114642
Freeha Qamar , Iqra Zareef , Muhammad Riaz , Muhammad Aslam , Vladimir Simic , Dragan Pamucar
For the purpose of optimizing their routes, last mile delivery (LMD) organizations use vehicle routing software (VRS). The topic of VRS selection is of the utmost significance for corporations that deal with managing deliveries at the last mile. This study presents an innovative VRS selection methodology specifically designed for LMD businesses. We regulate the issue within the confines of multi-criteria decision-making (MCDM). Criteria for assessment are based on solid literature, mathematical formulation, and professional judgments. The utilization of circular intuitionistic fuzzy set (CIFS) for this model offers a more adaptable and evocative method for expressing unclear and conflicting data. A novel operator termed as a CIFDBM operator is presented to serve as an aggregation operator to boost the effectiveness of aggregation, influenced by the fundamental Bonferroni mean (BM) operator and centered on Dombi t-norm and t-conorm. Our research sets out a novel hybrid structure that integrates CIFS-based decision-making along with MEREC (method based on the removal effects of criteria) as a weighting technique and RAFSI (ranking of alternatives through functional mapping of criterion subintervals into a single interval) as a ranking approach. A robust MCDM hybrid approach named CIFS-MEREC-RAFSI is designed, which provides a reliable, competent, and quality decision for VRS selection problems containing inconsistent, uncertain, and vague data. The system outperforms state-of-the-art CIF-based MCDM approaches by 17%–22% in terms of ranking stability, resulting in more consistent and dependable rankings for all options.
为了优化他们的路线,最后一英里交付(LMD)组织使用车辆路线软件(VRS)。VRS选择的主题对于处理最后一英里交付管理的公司来说是至关重要的。本研究提出了一种创新的VRS选择方法,专门为LMD企业设计。我们在多标准决策(MCDM)的范围内规范这个问题。评估标准是基于坚实的文献,数学公式和专业判断。该模型采用循环直觉模糊集(circular intuiistic fuzzy set, CIFS),为表达不清晰和冲突的数据提供了一种适应性更强、唤起性更强的方法。提出了一种新的算子CIFDBM算子,该算子受基本Bonferroni mean (BM)算子的影响,以Dombi t-范数和t-保形为中心,作为聚合算子来提高聚合的有效性。我们的研究提出了一种新的混合结构,它将基于cifs的决策与MEREC(基于标准去除效果的方法)作为加权技术和RAFSI(通过将标准子区间的功能映射到单个区间来对备选方案进行排序)作为排序方法集成在一起。设计了一种健壮的MCDM混合方法CIFS-MEREC-RAFSI,该方法为包含不一致、不确定和模糊数据的VRS选择问题提供了可靠、有效和高质量的决策。在排名稳定性方面,该系统比最先进的基于cif的MCDM方法高出17%-22%,从而使所有选项的排名更加一致和可靠。
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引用次数: 0
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Applied Soft Computing
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