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Sustainable wind farm layout design for maximizing power output and reducing environmental impact 可持续的风电场布局设计,最大限度地提高功率输出和减少对环境的影响
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-26 DOI: 10.1016/j.rico.2026.100664
Khamiss Cheikh , EL Mostapha Boudi , Rabi Rabi , Hamza Mokhliss
Wind farm layout design continues to face methodological constraints that limit its applicability under realistic operating conditions. Existing approaches frequently rely on single-objective formulations that prioritize either energy maximization or wake-loss reduction, thereby failing to capture the interdependent trade-offs among power generation, turbulence intensity, and wake-induced performance degradation. In addition, widely adopted wake models often use simplified aerodynamic representations that overlook turbine–turbine coupling effects, while deterministic wind-field assumptions ignore the stochastic variability in wind speed and direction that critically influences wake propagation. These limitations underscore the need for a more comprehensive and physically grounded optimization strategy. This study proposes a tailored multi-objective optimization framework that integrates analytical wake modeling with stochastic environmental characterization to identify efficient turbine placements within the farm boundary. The method concurrently optimizes power output, turbulence attenuation, and wake-related energy deficits while enforcing spatial and operational constraints. Numerical evaluations demonstrate marked performance improvements relative to baseline configurations. Turbines situated in favorable aerodynamic regions (T4 and T5) achieve power outputs of 1.84–1.89 MW, representing an increase of up to 72% compared to downstream turbines subjected to wake interference (1.03–1.13 MW). Turbulence intensity decreases by more than 55% (1.20–1.28 versus 2.58–2.81), and wake-related energy losses are reduced by over 60% (0.0065–0.0072 versus 0.013–0.017). These quantitative gains confirm the efficacy of the proposed optimization framework and highlight its potential for scalability, enhanced aerodynamic fidelity, and integration into future large-scale wind-farm planning and operational decision-support systems.
风电场布局设计仍然面临着方法上的限制,限制了其在实际运行条件下的适用性。现有的方法经常依赖于单目标公式,优先考虑能量最大化或尾流损失减少,因此无法捕获发电,湍流强度和尾流诱导的性能下降之间的相互依赖的权衡。此外,广泛采用的尾流模型通常使用简化的气动表示,忽略了涡轮-涡轮耦合效应,而确定性风场假设忽略了风速和风向的随机变异性,这对尾流传播至关重要。这些限制强调了需要一个更全面和物理基础的优化策略。本研究提出了一个量身定制的多目标优化框架,该框架将分析尾流建模与随机环境特征相结合,以确定农场边界内有效的涡轮机放置位置。该方法同时优化了功率输出、湍流衰减和尾流相关的能量赤字,同时加强了空间和操作限制。数值评估显示了相对于基线配置的显著性能改进。位于有利气动区域(T4和T5)的涡轮输出功率为1.84-1.89 MW,与受尾流干扰的下游涡轮(1.03-1.13 MW)相比,增加了72%。湍流强度降低55%以上(1.20-1.28 vs 2.58-2.81),尾迹相关能量损失降低60%以上(0.0065-0.0072 vs 0.013-0.017)。这些量化成果证实了所提出的优化框架的有效性,并突出了其可扩展性、增强的空气动力学保真度以及集成到未来大型风电场规划和运营决策支持系统中的潜力。
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引用次数: 0
Enhanced relaxation-based local stabilization of T-S fuzzy systems: Achieving a simultaneous reduction in conservatism and complexity 基于松弛的T-S模糊系统的增强局部镇定:实现保守性和复杂性的同时降低
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-09 DOI: 10.1016/j.rico.2026.100660
Sung Hyun Kim
This paper proposes an enhanced relaxation-based local stabilization framework for continuous-time T–S fuzzy systems that simultaneously reduces conservatism and computational complexity. In contrast to existing approaches, the proposed method eliminates the need for a priori assumptions or static transformations of the time derivatives of fuzzy basis functions, and enables a complete local stabilization procedure to be carried out entirely within the LMI framework. Moreover, by introducing a full row-rank canonical selection matrix, the number of slack variables is significantly reduced, thereby improving computational efficiency without sacrificing stability performance. Consequently, the resulting relaxation framework yields less conservative stabilization conditions and facilitates efficient controller synthesis for high-dimensional fuzzy systems. Finally, the effectiveness of the proposed method is demonstrated through two illustrative examples (i.e., cart-pendulum and mass–spring-damper examples), which show improved H performance and substantial reductions in decision variables.
针对连续时间T-S模糊系统,提出了一种增强的基于松弛的局部镇定框架,同时降低了保守性和计算复杂度。与现有方法相比,该方法不需要对模糊基函数的时间导数进行先验假设或静态变换,并且可以在LMI框架内完成完整的局部稳定过程。此外,通过引入全行秩正则选择矩阵,大大减少了松弛变量的数量,从而在不牺牲稳定性性能的情况下提高了计算效率。因此,所得到的松弛框架产生较少的保守稳定条件,有利于高维模糊系统的有效控制器合成。最后,通过两个示例(即小车摆和质量-弹簧-阻尼器示例)证明了所提方法的有效性,这些示例显示了改进的H∞性能和大量减少的决策变量。
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引用次数: 0
Phase-dependent nonlinear MPC for stair climbing: Edge-pivot control with a double-pendulum model 阶梯爬升的相位相关非线性MPC:双摆模型的边轴控制
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-20 DOI: 10.1016/j.rico.2026.100675
Carlos Raymundo, Gustavo Pérez-Zuñiga, Ivan Yupanqui
This paper develops and validates optimal control for a double-pendulum and a hybrid switching controller for a wheel-based stair-climbing device (SCD). An energy-based linear and nonlinear model is derived and used to design LQR, observer-based state feedback, linear MPC, and nonlinear MPC (NMPC). The resulting nonlinear optimal control problems (OCPs), defined as nonlinear programs (NLPs), are solved with a numerical solver using a Real-Time Iteration (RTI) scheme, allowing NMPC to enforce the full nonlinear dynamics and state/input constraints. Under identical tests, the implemented NMPC best drives both links to upright equilibrium with the lowest tracking error for comparable effort. The implemented NMPC is then embedded in a phase-dependent switch where the LQR governs the nominal rolling, while at the critical edge pivot modeled as an inverted double-pendulum triggers the NMPC via hysteretic distance guards with contact confirmation and dwell time; after capture, the controller returns to LQR. This yields reliable, chatter-free switching and improved ascent/descent performance while saving energy.
本文开发并验证了轮式爬楼梯装置的双摆最优控制和混合切换控制器。推导了基于能量的线性和非线性模型,并将其用于设计LQR、基于观测器的状态反馈、线性MPC和非线性MPC (NMPC)。由此产生的非线性最优控制问题(ocp),定义为非线性程序(nlp),通过使用实时迭代(RTI)方案的数值求解器进行求解,允许NMPC执行完整的非线性动力学和状态/输入约束。在相同的测试中,所实现的NMPC以最小的跟踪误差最好地将两个连杆驱动到直立平衡。然后将实现的NMPC嵌入到相位相关开关中,其中LQR控制标称滚动,而在临界边缘,模拟为倒立双摆的支点通过具有接触确认和停留时间的滞后距离保护触发NMPC;捕获后,控制器返回LQR。这产生了可靠的、无抖动的开关和改进的上升/下降性能,同时节省了能源。
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引用次数: 0
On the chaotic systems of attraction with fractional operators in a novel Lorenz system 一类新型Lorenz系统中具有分数算子的混沌吸引系统
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-28 DOI: 10.1016/j.rico.2026.100678
Atul Kumar , Hambeer Singh , Salah Boulaaras , Kamal Shah , Thabet Abdeljawad
In this research, a novel variant model of the classical Lorenz system is proposed by reformulating both the classical and fractional-order Lorenz systems through a new framework based on piecewise fractional derivatives. The resulting piecewise Lorenz system is formulated as a nonlinear system of differential operators exhibiting rich and complex dynamical behaviors induced by the piecewise structure. The proposed model is developed within the frameworks of the Caputo fractional derivative, the Atangana–Baleanu fractional derivative, and the Caputo–Fabrizio fractional derivative. A rigorous qualitative analysis is carried out to establish the existence and uniqueness of solutions for the modified piecewise Lorenz system. Furthermore, the dynamical and chaotic properties of the system are investigated through numerical approximations based on the Newton interpolation formula. Numerical simulations and graphical illustrations demonstrate the effectiveness and accuracy of the proposed numerical scheme and reveal the influence of fractional orders and system parameters on the system dynamics. In particular, the system exhibits crossover behavior and chaotic dynamics characterized by the coexistence of two strange attractors, highlighting significant differences from the classical Lorenz system.
在本研究中,通过基于分段分数阶导数的新框架,将经典洛伦兹系统和分数阶洛伦兹系统重新表述,提出了一种新的经典洛伦兹系统变体模型。所得到的分段洛伦兹系统被表述为一个由微分算子组成的非线性系统,表现出由分段结构引起的丰富而复杂的动力学行为。所提出的模型是在Caputo分数导数、Atangana-Baleanu分数导数和Caputo - fabrizio分数导数的框架内发展起来的。对改进的分段洛伦兹系统进行了严格的定性分析,证明了该系统解的存在唯一性。此外,通过基于牛顿插值公式的数值逼近研究了系统的动力学和混沌特性。数值仿真和图解验证了所提数值格式的有效性和准确性,揭示了分数阶数和系统参数对系统动力学的影响。特别是,系统表现出交叉行为和以两个奇异吸引子共存为特征的混沌动力学,突出了与经典洛伦兹系统的显著差异。
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引用次数: 0
A generalized Vidale–Wolfe model on existing and new customers advertising strategy in a segmented market 细分市场中新老客户广告策略的广义Vidale-Wolfe模型
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-13 DOI: 10.1016/j.rico.2026.100673
Onamy Ramdinpuii , Kuldeep Chaudhary , Surbhi Gupta , Shivani Bali
Business firms and companies are constantly adopting the concept of market segmentation, which plays an important role in the promotion of a product. Additionally, advertising is another component that strengthens the company’s communication with customers. To have effective marketing strategies, the implementation of independent advertising strategies for each segmented market is important. This paper deals with an optimal control problem that aims to obtain a dynamic advertising policy for new customers as well as minimize the decay rate for existing customers in a segment-specific market. We will an derive explicit optimal dynamic advertising efforts policy using Pontryagin’s maximum principle. The analysis gives a deep insight into how the advertising effort should be planned by the decision-makers, designing strategies that maximize long-term profitability while effectively controlling advertising costs. The effectiveness of the suggested strategy is supported by numerical examples, along with parameter estimation to estimate the value of certain parameters.
商业公司和公司不断采用市场细分的概念,这对产品的推广起着重要的作用。此外,广告是加强公司与客户沟通的另一个组成部分。为了制定有效的营销策略,针对每个细分市场实施独立的广告策略是很重要的。本文研究了一个最优控制问题,该问题的目标是在特定细分市场中获得针对新客户的动态广告策略以及最小化现有客户的衰减率。我们将利用庞特里亚金的最大值原理推导出明确的最优动态广告努力策略。该分析为决策者如何规划广告努力提供了深刻的见解,设计出最大化长期盈利的策略,同时有效地控制广告成本。数值算例验证了所提策略的有效性,并通过参数估计来估计某些参数的值。
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引用次数: 0
Modelling lymphatic filariasis dynamics using Levenberg–Marquardt algorithm-artificial neural networks 利用Levenberg-Marquardt算法-人工神经网络建立淋巴丝虫病动力学模型
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-15 DOI: 10.1016/j.rico.2026.100659
Mussa A. Stephano , John N. Mlyahilu , Il Hyo Jung
This paper introduces a hybrid Levenberg–Marquard-Artificial Neural Network (LMA-ANN) framework for modeling the complex transmission dynamics of lymphatic filariasis (LF), a debilitating vector-borne neglected tropical disease. The methodology addresses key challenges in data-driven epidemiological forecasting by combining the fast convergence properties of the Levenberg–Marquardt optimization algorithm with the universal function approximation capability of neural networks. We evaluate the proposed framework against four established neural architectures such as Multilayer Perceptron (MLP), Fully Connected Neural Network (FCNN), Convolutional Neural Network (CNN), and Recurrent Neural Network (RNN) using both pristine and Gaussian noise-augmented synthetic datasets generated from a compartmental epidemiological model solved with a high-fidelity Runge–Kutta method. Results demonstrate that the LMA-ANN achieves superior predictive accuracy, with the lowest error metrics of MAE=0.029,RMSE=0.039,MSE=0.0015 and highest coefficient of determination of R2=0.990 on noise-augmented data, while maintaining computational efficiency with the shortest training of 87.4s and inference of 2.9ms times. Crucially, the CNN and RNN architectures exhibited worst performance degradation on the noise-augmented dataset, yielding negative R2 values of 0.15 and 0.42 respectively, indicating predictions worse than a simple mean model. This highlights a critical limitation of complex architectures when trained on limited, noisy epidemiological data. The study provides two principal contributions: (1) a robust, computationally efficient LMA-ANN framework that accurately captures LF dynamics under realistic data constraints, and (2) evidence-based guidance for model selection in epidemiological applications, emphasizing that architectural complexity must be carefully matched with data quality and quantity. These findings advance computational methods for infectious disease modeling and offer a generalizable tool for public health decision-making in resource-limited settings.
本文介绍了一种混合levenberg - marquard -人工神经网络(LMA-ANN)框架,用于模拟淋巴丝虫病(LF)的复杂传播动力学,LF是一种由媒介传播的被忽视的热带疾病。该方法通过将Levenberg-Marquardt优化算法的快速收敛特性与神经网络的通用函数逼近能力相结合,解决了数据驱动流行病学预测中的关键挑战。我们使用原始和高斯噪声增强的合成数据集对四种已建立的神经结构(多层感知器(MLP)、全连接神经网络(FCNN)、卷积神经网络(CNN)和循环神经网络(RNN)进行了评估,这些数据集是由用高保真龙格-库塔方法求解的分区流行病学模型生成的。结果表明,LMA-ANN在噪声增强数据上取得了较好的预测精度,最低误差指标MAE=0.029,RMSE=0.039,MSE=0.0015,最高决定系数R2=0.990,同时保持了计算效率,最短训练时间为874秒,推理时间为2.9ms。关键是,CNN和RNN架构在噪声增强数据集上表现出最严重的性能下降,分别产生负R2值- 0.15和- 0.42,表明预测比简单的平均模型更差。这突出了复杂架构在有限的、嘈杂的流行病学数据上训练时的一个关键局限性。该研究提供了两个主要贡献:(1)一个鲁棒的、计算效率高的LMA-ANN框架,可以在现实数据约束下准确捕获LF动态;(2)为流行病学应用中的模型选择提供循证指导,强调架构复杂性必须与数据质量和数量仔细匹配。这些发现促进了传染病建模的计算方法,并为资源有限环境下的公共卫生决策提供了一种通用工具。
{"title":"Modelling lymphatic filariasis dynamics using Levenberg–Marquardt algorithm-artificial neural networks","authors":"Mussa A. Stephano ,&nbsp;John N. Mlyahilu ,&nbsp;Il Hyo Jung","doi":"10.1016/j.rico.2026.100659","DOIUrl":"10.1016/j.rico.2026.100659","url":null,"abstract":"<div><div>This paper introduces a hybrid Levenberg–Marquard-Artificial Neural Network (LMA-ANN) framework for modeling the complex transmission dynamics of lymphatic filariasis (LF), a debilitating vector-borne neglected tropical disease. The methodology addresses key challenges in data-driven epidemiological forecasting by combining the fast convergence properties of the Levenberg–Marquardt optimization algorithm with the universal function approximation capability of neural networks. We evaluate the proposed framework against four established neural architectures such as Multilayer Perceptron (MLP), Fully Connected Neural Network (FCNN), Convolutional Neural Network (CNN), and Recurrent Neural Network (RNN) using both pristine and Gaussian noise-augmented synthetic datasets generated from a compartmental epidemiological model solved with a high-fidelity Runge–Kutta method. Results demonstrate that the LMA-ANN achieves superior predictive accuracy, with the lowest error metrics of <span><math><mrow><mi>M</mi><mi>A</mi><mi>E</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>029</mn><mo>,</mo><mi>R</mi><mi>M</mi><mi>S</mi><mi>E</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>039</mn><mo>,</mo><mi>M</mi><mi>S</mi><mi>E</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>0015</mn></mrow></math></span> and highest coefficient of determination of <span><math><mrow><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mn>0</mn><mo>.</mo><mn>990</mn></mrow></math></span> on noise-augmented data, while maintaining computational efficiency with the shortest training of <span><math><mrow><mn>87</mn><mo>.</mo><mn>4</mn><mspace></mspace><mi>s</mi></mrow></math></span> and inference of <span><math><mrow><mn>2</mn><mo>.</mo><mn>9</mn><mspace></mspace><mtext>ms</mtext></mrow></math></span> times. Crucially, the CNN and RNN architectures exhibited worst performance degradation on the noise-augmented dataset, yielding negative <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> values of <span><math><mrow><mo>−</mo><mn>0</mn><mo>.</mo><mn>15</mn></mrow></math></span> and <span><math><mrow><mo>−</mo><mn>0</mn><mo>.</mo><mn>42</mn></mrow></math></span> respectively, indicating predictions worse than a simple mean model. This highlights a critical limitation of complex architectures when trained on limited, noisy epidemiological data. The study provides two principal contributions: (1) a robust, computationally efficient LMA-ANN framework that accurately captures LF dynamics under realistic data constraints, and (2) evidence-based guidance for model selection in epidemiological applications, emphasizing that architectural complexity must be carefully matched with data quality and quantity. These findings advance computational methods for infectious disease modeling and offer a generalizable tool for public health decision-making in resource-limited settings.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100659"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145977842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysing the effects of dual time delays and terror funding class in terrorism dynamics 分析双重时间延迟和恐怖融资对恐怖主义动态的影响
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-29 DOI: 10.1016/j.rico.2026.100662
Annesha Sarmah , Kaushik Dehingia , Purnendu Sardar , Anusmita Das , Hemanta kr. Sarmah , Santosh Kumar Choudhary
In this paper, we develop a novel five-compartment terrorism dynamics model that explicitly incorporates a terror funding class, thereby capturing the critical role of financial resources in sustaining recruitment, logistics, and operational activities. To better reflect real-world processes, the model introduces two discrete time delays: τ1, representing the indoctrination period required for susceptible individuals to become terrorists, and τ2, denoting the lag associated with transferring terrorists to the recovered or quarantined classes. The main contributions of this work include: (i) the formulation of a funding-integrated terrorism model with dual delays; (ii) a complete mathematical analysis of positivity, boundedness, and equilibrium stability; (iii) derivation of the basic reproduction number 0 and a sensitivity analysis identifying the parameters that most strongly influence terrorism persistence; and (iv) a rigorous investigation of delay-induced destabilisation and Hopf bifurcation. For the non-delayed system, we establish conditions ensuring the existence and local stability of the terror-free equilibrium when 0<1 and the terror-persistent equilibrium when 0>1. For the delayed system, we demonstrate that increasing either τ1 or τ2 beyond their respective critical thresholds leads to Hopf bifurcations and sustained oscillations, representing recurrent waves of terrorist activity. Numerical simulations are provided to validate the analytical results. Overall, the study offers insight into how the speed of radicalisation, operational delays, and financial resources interact to shape terrorism dynamics, with potential implications for the design of more effective counter-terrorism policies.
在本文中,我们开发了一个新的五区恐怖主义动态模型,明确地纳入了恐怖主义融资类别,从而捕捉了金融资源在维持招募、后勤和运营活动中的关键作用。为了更好地反映现实世界的过程,该模型引入了两个离散的时间延迟:τ1,表示易感个体成为恐怖分子所需的灌输期,τ2,表示将恐怖分子转移到康复或隔离班级的滞后时间。这项工作的主要贡献包括:(i)制定了具有双重延迟的筹资一体化恐怖主义模型;(ii)对正性、有界性和平衡稳定性的完整数学分析;(三)推导出基本再现数∑0,并进行敏感性分析,确定对恐怖主义持续存在影响最大的参数;(iv)对延迟引起的不稳定和Hopf分岔进行严格的研究。对于非延迟系统,我们建立了保证无恐怖平衡和恐怖持久平衡存在和局部稳定的条件。对于时滞系统,我们证明了当τ1或τ2超过它们各自的临界阈值时,会导致Hopf分岔和持续振荡,这代表了恐怖活动的反复波。数值模拟验证了分析结果。总体而言,该研究深入了解了激进化的速度、行动延误和财政资源如何相互作用,从而塑造了恐怖主义的动态,并对制定更有效的反恐政策具有潜在的影响。
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引用次数: 0
Machine-learning-enhanced glowworm swarm optimization for energy-efficient multi-hop routing in wireless sensor networks 基于机器学习的萤火虫群优化无线传感器网络中节能多跳路由
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-06 DOI: 10.1016/j.rico.2026.100667
Namit Gupta , Abu Bakar bin Abdul Hamid , Abu Bakar Bin Mahat , Adesh Kumar
Energy-efficient wireless sensor networks (WSNs) are critical for modern intelligent applications, yet maintaining balanced battery power across the network remains a persistent challenge. Numerous algorithms have been proposed to address this issue, but notable research gaps still exist. This study introduces a novel multi-hop routing framework designed to enhance energy efficiency and prolong network lifetime. The framework integrates six key components: a network model, a radio and energy model, cluster deployment using a low-energy adaptive clustering hierarchy (LEACH), cluster-head selection via a glowworm swarm optimization algorithm, multi-hop routing through a Taylor-based cat-salp swarm method, and machine-learning driven analysis employing both k-means and hierarchical clustering. The simulation results demonstrate superior performance over existing state-of-the-art approaches, achieving higher total residual energy, reduced end-to-end delay, lower packet drop rates, improved packet delivery ratio, and greater overall throughput. Hierarchical clustering with Ward linkage achieved an accuracy of 96.76% with an R2 value of 0.9852 for packet drop and an accuracy of 97.37% with an R2 value of 0.9831 for network throughput, while K-means clustering attained an accuracy of 96.25% with an R2 value of 0.9725 for packet delivery ratio. The novelty of this work is the synergistic integration of optimization-assisted machine learning clustering with adaptive multi-hop routing, enabling dynamic and energy-aware cluster head selection while explicitly minimizing both intra- and inter-cluster communication overhead, an aspect largely unaddressed in conventional WSN protocols.
高效节能的无线传感器网络(wsn)对于现代智能应用至关重要,但在整个网络中保持均衡的电池功率仍然是一个持续的挑战。已经提出了许多算法来解决这个问题,但明显的研究差距仍然存在。本研究提出一种新的多跳路由架构,以提高能源效率及延长网路寿命。该框架集成了六个关键组件:网络模型,无线电和能量模型,使用低能量自适应聚类层次(LEACH)的集群部署,通过萤火虫群优化算法进行簇头选择,通过基于泰勒的猫-salp群方法进行多跳路由,以及采用k-means和分层聚类的机器学习驱动分析。仿真结果表明,与现有的最先进的方法相比,该方法具有更好的性能,实现了更高的总剩余能量、更低的端到端延迟、更低的数据包丢包率、更高的数据包传送率和更高的总体吞吐量。Ward联动的分层聚类准确率为96.76%,丢包的R2值为0.9852;网络吞吐量的准确率为97.37%,R2值为0.9831;K-means聚类准确率为96.25%,包投递率的R2值为0.9725。这项工作的新颖之处在于优化辅助机器学习聚类与自适应多跳路由的协同集成,实现动态和能量感知的簇头选择,同时显式地最小化集群内和集群间的通信开销,这在传统的WSN协议中基本上没有解决。
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引用次数: 0
Enhancing renewable energy utilization through solar, wind, and electric vehicles in the grid using a chaotic-based prairie dog optimization algorithm 利用基于混沌的草原土拨鼠优化算法,通过太阳能、风能和电动汽车在电网中提高可再生能源的利用率
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2025-12-14 DOI: 10.1016/j.rico.2025.100646
Ayan Das Sarkar , Provas Kumar Roy , Barun Mandal , Ghanshyam G. Tejani , Seyed Jalaleddin Mousavirad
This study aims to determine the most effective operational strategy for economic load dispatch (ELD). The practical ELD problem can be difficult to solve because of its non-smooth cost function and nonlinear constraints; specifically, electric power generation’s nonlinear multi-objective economic emission dispatch (EED) problem with valve point loading is solved using the prairie dog optimization algorithm-based optimization (PDO). The problem considers nonlinear generator aspects such as valve point effect, ramp rate limits, and restricted operating zones. The PDO technique identifies the optimal solution without requiring any prior knowledge of the gradient of the objective function. The application of the PDO algorithm to solve nonlinear ELD problems appears to be an effective and reliable optimization technique. Three test cases are considered. For example, 40 units with losses (thermal units and renewable energy), 140 units (renewable energy), and 160 units (thermal units and renewable energy) are used for executing and evaluating the suggested algorithm. The outcomes demonstrate the suggested algorithm’s potential and efficacy in comparison to other alternative techniques, and the suggested approach outperforms other established algorithms in terms of proficiency and robustness, as demonstrated by numerical data.
本研究旨在确定经济负荷调度(ELD)最有效的运行策略。实际的ELD问题由于其代价函数的非光滑性和约束条件的非线性而难以求解;具体地说,利用基于草原土拨鼠优化算法的优化(PDO),解决了具有阀点负荷的发电非线性多目标经济排放调度问题。该问题考虑了发电机的非线性方面,如阀点效应、斜坡速率限制和限制操作区域。PDO技术在不需要任何目标函数梯度的先验知识的情况下识别出最优解。应用PDO算法求解非线性电场问题是一种有效、可靠的优化方法。考虑三个测试用例。例如,使用40个具有损耗的单位(热单位和可再生能源)、140个单位(可再生能源)和160个单位(热单位和可再生能源)来执行和评估所建议的算法。与其他替代技术相比,结果证明了所建议的算法的潜力和有效性,并且所建议的方法在熟练度和鲁棒性方面优于其他已建立的算法,如数值数据所示。
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引用次数: 0
Optimizing epidemic control: Nash game approach to stochastic modeling with Brownian motion 优化流行病控制:布朗运动随机建模的纳什博弈方法
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-07 DOI: 10.1016/j.rico.2026.100657
Md. Abdullah Bin Masud , Sharmina Rahman , Faijun Nesa Shimi , Mostak Ahmed , Rathindra Chandra Gope
This research expands upon stochastic modeling for COVID-19 management by incorporating Nash game theory to optimize control strategies for disease transmission. Building on our original model, which has integrated Brownian motion and nonlinear dynamics to enhance diagnosis and isolation procedures, we now apply Nash game theory to explore the interactions between multiple control variables. Using Pontryagin’s Maximum Principle for theoretical analysis and MATLAB and Python for numerical simulations, we demonstrate that Nash control offers a more practical approach than traditional game theory for balancing interventions. The model’s performance, validated with Worldometer data, achieves low Root Mean Square Error (RMSE) and Mean Absolute Percentage Error (MAPE), underscoring its high predictive accuracy. Our findings suggest that Nash control provides a superior framework for real-time epidemic management by optimizing disease control policies, particularly when coordinating antiviral treatments and isolation measures. This work highlights the advantages of Nash-based strategies in developing robust and adaptive epidemic management systems.
本研究扩展了新冠肺炎管理的随机建模,并结合纳什博弈论优化疾病传播控制策略。在我们的原始模型的基础上,我们整合了布朗运动和非线性动力学来增强诊断和隔离程序,我们现在应用纳什博弈论来探索多个控制变量之间的相互作用。使用庞特里亚金的极大值原理进行理论分析,使用MATLAB和Python进行数值模拟,我们证明纳什控制提供了比传统博弈论更实用的方法来平衡干预。该模型的性能通过Worldometer数据验证,实现了较低的均方根误差(RMSE)和平均绝对百分比误差(MAPE),强调了其较高的预测精度。我们的研究结果表明,纳什控制通过优化疾病控制政策,特别是在协调抗病毒治疗和隔离措施时,为实时流行病管理提供了一个优越的框架。这项工作突出了基于纳什的策略在开发健壮和适应性强的流行病管理系统方面的优势。
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Results in Control and Optimization
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