Applied Mathematical Modelling最新文献_第7页

Pharmaceutical logistics network planning considering low-carbon policy and demand uncertainty 考虑低碳政策和需求不确定性的医药物流网络规划

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-10 DOI: 10.1016/j.apm.2025.115933

Hao Zou, Jiehui Jiang

Reducing carbon emissions has become a critical priority in the global effort to combat climate change. This study examined a pharmaceutical logistics network planning problem under drug demand uncertainty within the framework of a carbon cap-and-trade policy. An ambiguity set for medical demand is constructed using historical pharmaceutical order data to account for uncertainty. The problem is then formulated as a two-stage distributionally robust optimization model, with the first stage addressing facility location decisions and the second stage focusing on transportation strategies. A decomposition-based method was developed to solve this model by leveraging the structure of the proposed formulation. Numerical experiments demonstrated the practicality and effectiveness of the proposed models and solution approach. The results show that redesigning the logistics network and leveraging rail transit can achieve reductions of 14.71 % in total costs and 40.75 % in carbon emissions compared to the current case. The analysis also revealed that logistics network configurations and transportation strategies are highly sensitive to carbon pricing. Therefore, governments should enhance carbon emission oversight and stabilize carbon market prices to ensure the effective implementation of carbon cap-and-trade policies.

减少碳排放已成为全球应对气候变化努力的关键优先事项。本文研究了碳排放限额与交易政策框架下药品需求不确定性下的药品物流网络规划问题。使用历史药品订单数据构建了医疗需求的模糊集来解释不确定性。然后将该问题表述为一个两阶段的分布式鲁棒优化模型，其中第一阶段解决设施选址决策，第二阶段关注运输策略。利用所提公式的结构，开发了一种基于分解的方法来求解该模型。数值实验验证了所提模型和求解方法的实用性和有效性。结果表明，与现有情况相比，重新设计物流网络和利用轨道交通可以使总成本降低14.71%，碳排放降低40.75%。分析还显示，物流网络配置和运输策略对碳定价高度敏感。因此，各国政府应加强碳排放监管，稳定碳市场价格，确保碳限额与交易政策的有效实施。

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引用次数: 0

Time domain analysis of wave propagation in composite pipes conveying fluid under highly transient lateral impact loads

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-10 DOI: 10.1016/j.apm.2025.115943

M. Heshmati , F. Daneshmand

Using pipes made of composite materials is to modify the performance of a fluid transporting system by combining materials with different properties to create lightweight, strong, corrosion-resistant, and durable devices. The wave propagation characteristics of composite pipes are of special interest when subjected to highly transient loads. However, transient loads can produce dynamic waves that travel through the pipe material. In such circumstances, composite pipes must show appropriate characteristics in managing the wave propagations generated by the applied loads. This paper attempts to study the wave propagation in composite pipes under the effects of internal flow velocity. The Hamilton principle and Euler-Bernoulli beam assumptions are used to derive the governing differential equations of pipes conveying fluids with clamped-free and clamped-clamped boundary conditions. The finite element method with the Newmark computational scheme is then utilized to discretize and solve the equations and find the time-dependent response of the system. The effects of boundary conditions and fluid flow velocity on the dynamic behavior of composite pipes will also be investigated. The results demonstrate that both fluid and boundary conditions significantly contribute to how composite pipes respond when subjected to highly transient impact loads.

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引用次数: 0

Nonlocal macroscopic models of multi-population pedestrian flows for walking facilities optimization 用于步行设施优化的多人口步行流非局部宏观模型

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-09 DOI: 10.1016/j.apm.2025.115927

Paola Goatin , Daniel Inzunza , Luis Miguel Villada

We propose a nonlocal macroscopic pedestrian flow model for two populations with different destinations trying to avoid each other in a confined environment, where the nonlocal term accounts for anisotropic interactions, mimicking the effect of different cones of view, and the presence of walls or other obstacles in the domain. In particular, obstacles can be incorporated in the density variable, thus avoiding to include them in the vector field of preferred directions. In order to efficiently compute the solution, we propose a Finite Difference scheme that couples high-order WENO approximations for spatial discretization, a multi-step TVD method for temporal discretization, and a high-order numerical derivative formula to approximate the derivatives of nonlocal terms, and in this way reducing consistently the amount of calculations. Numerical tests confirm that each population manages to evade both the presence of the obstacles and the other population.

Including obstacles in the nonlocal operator and having a computationally affordable simulation code allows to tackle the shape optimization of the walking domain as a classical PDE constrained optimization problem. In particular, we compute the optimal positions and sizes of obstacles that minimize the pedestrian evacuation time.

我们提出了一个非局部宏观行人流模型，用于两个具有不同目的地的人群在受限环境中试图避开对方，其中非局部项考虑了各向异性相互作用，模拟了不同视锥的影响，以及区域内墙壁或其他障碍物的存在。特别地，可以将障碍物纳入密度变量中，从而避免将其包含在优选方向的矢量场中。为了有效地计算解，我们提出了一种有限差分格式，该格式耦合了空间离散化的高阶WENO近似，时间离散化的多步TVD方法和高阶数值导数公式来近似非局部项的导数，从而一致地减少了计算量。数值测试证实，每个种群都设法避开障碍物和其他种群的存在。

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引用次数: 0

A transit search algorithm with chaotic map and local escape operator for multi-level threshold segmentation of spleen CT images 基于混沌映射和局部逃避算子的脾脏CT图像多级阈值分割中转搜索算法

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-09 DOI: 10.1016/j.apm.2025.115930

Chunzheng Li, Hao Liu

In response to the limitations of the Transit Search (TS) algorithm, such as slow convergence speed, susceptibility to local optima, and limited capability in handling complex optimization problems, this paper proposes an improved Transit Search algorithm based on chaotic map and a local escape operator (CLTS). The algorithm introduces chaos initialization in the initial stage to ensure more representative initial solutions. To enhance the efficiency of the transit phase, CLTS simplifies the process and improves the transit criteria with adaptive parameters. Additionally, CLTS introduces slime weight to improve convergence speed in the neighborhood phase. Finally, on the basis of the original exploitation stage, a local escape operator is introduced to effectively jump out of local optima and strike a balance between exploration and exploitation. Experimental results on both the CEC2017 and CEC2022 benchmark test sets demonstrate that the proposed CLTS algorithm achieves faster convergence speed and higher convergence accuracy compared to the TS algorithm and other advanced algorithms. Moreover, when combining CLTS with a denoising version of a multi-level threshold image segmentation model, it was applied for segmenting seven spleen CT images. The results indicate that CLTS is superior to the most advanced image segmentation algorithms in terms of convergence and segmentation effect.

针对Transit Search （TS）算法收敛速度慢、易受局部最优影响、处理复杂优化问题能力有限等局限性，提出了一种基于混沌映射和局部逃逸算子（CLTS）的改进Transit Search算法。该算法在初始阶段引入混沌初始化，使初始解更具代表性。为了提高过境阶段的效率，CLTS简化了过程，并使用自适应参数改进了过境准则。此外，CLTS还引入了黏液权值来提高邻域阶段的收敛速度。最后，在原有开采阶段的基础上，引入局部逃生算子，有效跳出局部最优，实现勘探与开采的平衡。在CEC2017和CEC2022基准测试集上的实验结果表明，与TS算法和其他先进算法相比，本文提出的CLTS算法具有更快的收敛速度和更高的收敛精度。此外，将CLTS与去噪版本的多级阈值图像分割模型相结合，对7张脾脏CT图像进行了分割。结果表明，CLTS在收敛性和分割效果方面都优于目前最先进的图像分割算法。

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引用次数: 0

Impact of precipitation on the resilience of tropical forests to non-Gaussian Lévy fluctuations 降水对热带森林对非高斯lsamy波动恢复力的影响

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-09 DOI: 10.1016/j.apm.2025.115931

Yayun Zheng , Yufei Hu , Niklas Boers , Jinqiao Duan , Jurgen Kurths

Understanding the resilience of tropical vegetation to perturbations and disturbances is crucial for predicting ecosystem responses to climate change. Here we investigate the stability of tropical forest ecosystems across varying precipitation levels and the influence of extreme events, which are modeled as burst-like pulses following a heavy-tailed distribution, using an α-stable Lévy process. The non-Gaussian index α and noise intensity ε of α-stable Lévy processes characterizes the frequency and the intensity of these extreme events. We propose a novel global resilience measure based on the stationary density to quantify the probability of the system to remain within its basin of attraction despite extreme perturbations. Our findings reveal that higher precipitation levels inherently provide greater stability to the forest state, even in the presence of larger noise intensities and higher frequencies of small jumps in extreme events. In contrast, at a low precipitation level, forest resilience is markedly reduced and declines rapidly with rising noise intensity, indicating a higher susceptibility to perturbations. Our study highlights the critical role of precipitation in modulating the resilience of tropical forests to disturbances, realistically modelled as non-Gaussian Lévy fluctuations.

了解热带植被对扰动和干扰的恢复能力对于预测生态系统对气候变化的响应至关重要。在这里，我们研究了热带森林生态系统在不同降水水平下的稳定性和极端事件的影响，这些事件被建模为重尾分布后的突发脉冲，使用α-稳定的lsamvy过程。α稳定lsamvy过程的非高斯指数α和噪声强度ε表征了这些极端事件的频率和强度。我们提出了一种新的基于平稳密度的全球弹性度量，以量化系统在极端扰动下保持在其吸引力盆地内的概率。我们的研究结果表明，更高的降水量本质上为森林状态提供了更大的稳定性，即使在极端事件中存在更大的噪声强度和更高频率的小跳跃。相比之下，在低降水水平，森林恢复力明显降低，并随着噪声强度的增加而迅速下降，表明对扰动的敏感性更高。我们的研究强调了降水在调节热带森林对干扰的恢复力方面的关键作用，实际模拟为非高斯lsamvy波动。

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引用次数: 0

Elasticity-based morphing technique and application to reduced-order modeling 基于弹性的变形技术及其在降阶建模中的应用

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-09 DOI: 10.1016/j.apm.2025.115929

Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear elasticity equations, onto every target shape. In particular, our approach does not assume any knowledge of a boundary parametrization, and the computation of the boundary deformation is not required beforehand. Furthermore, constraints can be imposed on specific points, lines and surfaces in the reference domain to ensure alignment with their counterparts in the target domain after morphing. Additionally, we show how the proposed methodology can be integrated in an offline and online paradigm, which is useful in reduced-order modeling involving variable shapes. This framework facilitates the efficient computation of the morphings in various geometric configurations, thus improving the versatility and applicability of the approach. The robustness and computational efficiency of the methodology is illustrated on two-dimensional test cases, including the regression problem of the drag and lift coefficients of airfoils of non-parameterized variable shapes.

本文的目的是介绍一种在具有相同拓扑结构的形状之间构造变形的新方法。变形是通过将一系列线性弹性方程解析到每个目标形状上，使参考形状变形而得到的。特别是，我们的方法不假设边界参数化的任何知识，边界变形的计算不需要事先。此外，可以对参考域中的特定点、线、面施加约束，以确保变形后与目标域中的对应点、线、面对齐。此外，我们还展示了如何将所提出的方法集成到离线和在线范式中，这对于涉及可变形状的降阶建模非常有用。该框架便于在各种几何构型下有效地计算变形，从而提高了该方法的通用性和适用性。以非参数化变形状翼型阻力和升力系数回归问题为例，验证了该方法的鲁棒性和计算效率。

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引用次数: 0

Multi-mode tensor train factorization with spatial-spectral regularization for third-order tensor completion

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-07 DOI: 10.1016/j.apm.2024.115921

Gaohang Yu , Chaoping Chen , Shaochun Wan , Liqun Qi , Yanwei Xu

The tensor train (TT) factorization and its associated TT rank have been gaining attention in recent years due to their ability to express the low-rankness and mode correlations of higher-order tensors. However, these methods are not sufficient to characterize the low-rankness along each mode of third-order tensors. To address this, we generalized the tensor train factorization to the mode-k tensor train factorization and introduced a multi-mode tensor train (MTT) rank. We then proposed a novel low-MTT-rank tensor completion model that combines multi-mode TT factorization with spatial-spectral smoothness regularization. To solve this model, we developed an efficient proximal alternating minimization (PAM) algorithm. Numerical experiments on visual data show that the proposed MTT3R method outperforms other methods in terms of visual and quantitative measures.

引用次数: 0

Research on multi-response kurtosis control of linear structures under multiple correlated non-stationary excitations using a novel high-order moment estimation method

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-07 DOI: 10.1016/j.apm.2025.115932

Song Cui, Liguo Zang, Yuxing Bai

The kurtosis of stress responses can significantly accelerate the fatigue damage process of structures, making it a key parameter in the assessment of structural fatigue damage under non-stationary and non-Gaussian random excitation. However, a kurtosis transfer model for linear systems under multiple excitations has not yet been established, presenting challenges for the control of response kurtosis. To address this issue, this paper first derives the theoretical formula for evaluating the second and fourth order mixed moments of random signals and establishes a method for evaluating the mixed moments of response components based on amplitude and phase. A transfer formula for kurtosis from multiple non-stationary excitations to multiple responses is then derived. Finally, based on the kurtosis transfer formula, an active control method for multiple response kurtoses is proposed. Simulations show that the proposed kurtosis transfer model can adapt to variations in multiple parameters of non-stationary excitation forces and evaluate response kurtosis with high accuracy. The evaluation of response kurtoses in experiments is significantly influenced by resonance peaks, but using the averaged frequency response function still allows for accurate evaluation of response kurtosis with acceptable precision. Both simulations and experiments demonstrate that the proposed kurtosis control algorithm can achieve kurtosis control in various situations, with the control speed and accuracy being influenced by the power value in the algorithm.

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引用次数: 0

Inerter array and its perfect decoupling 干涉器阵列及其完美解耦

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-06 DOI: 10.1016/j.apm.2025.115936

Yuehao Li , Niaoqing Hu , Zhengyang Yin , Yi Yang , Zhe Cheng , Guoji Shen , Zuanbo Zhou , Jiangtao Hu

Inerter is a fundamental two-terminal dynamic element and has made progress in plenty of mechanical systems. To expand the field of dynamics and enrich the theory of inerter, the concepts of inerter array and its perfect decoupling are proposed. Inerter arrays with equal inertances are focused in this research for their universalities. First, single point inerter and its complete decoupling are analyzed. And then, dynamic model of a vibration system with a two-point inerter array is established, and the method of complete decoupling of the vibration system with a two-point inerter array is explained. Then, triangular inerter array and its perfect decoupling are analyzed. Then, rectangular inerter array and its perfect decoupling are analyzed. The dynamic model and perfect decoupling method are verified by experiments. The percentage deviation between experimental natural frequency and theoretical natural frequency is within 10%. The non-diagonal elements of the modal assurance criterions are less than 5%. It is concluded and verified that a typical vibration system with a single point inerter and a typical vibration system with a two-point inerter cannot achieve perfect decoupling, only inerter arrays with three and more inerters can achieve perfect decoupling. And triangular inerter array is the simplest way to achieve perfect decoupling.

惯性元件是一种基本的双端动力元件，在许多机械系统中都取得了进展。为了拓展动力学领域，丰富干涉器理论，提出了干涉器阵列及其完全解耦的概念。等惯性阵列因其通用性而成为本文研究的重点。首先，分析了单点干涉器及其完全解耦。在此基础上，建立了两点干涉器阵列振动系统的动力学模型，并给出了两点干涉器阵列振动系统完全解耦的方法。然后分析了三角形干涉器阵列及其完美解耦。然后对矩形干涉器阵列及其完美解耦进行了分析。通过实验验证了动态模型和完美解耦方法。实验固有频率与理论固有频率的百分比偏差在10%以内。模态保证准则的非对角元小于5%。结论并验证了典型的单点惯性器振动系统和典型的两点惯性器振动系统不能实现完全解耦，只有三个及以上的惯性器阵列才能实现完全解耦。三角干涉器阵列是实现完美解耦最简单的方法。

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引用次数: 0

Energy harvesting capabilities and bandgaps of locally resonant piezoelectric metamaterial panels with self-extraction synchronized circuit 具有自提取同步电路的局部谐振压电材料板的能量收集能力和带隙

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling

Pub Date : 2025-01-05 DOI: 10.1016/j.apm.2025.115934

M. Furjan , R. Kolahchi , M. Yaylacı

In this paper, we present an investigation into the unique energy harvesting and bandgap features of a piezoelectric locally resonant metamaterial conical panel fitted with a self-extraction synchronized circuit. In this paper, the energy harvesting and bandgap of the structure employ a self-extraction synchronized circuit. An elastic-electromechanical model will be developed using first-order conical panel theory (FSDT) for investigation. Herein, the dynamic behavior of the metamaterial conical panels and the bandgap properties created by the locally resonant modes are explored, while research based on the differential cubature method and integral quadrature method is underway. Energy harvesting capability will also be examined, and numerical results will be validated with the help of available experimental data. The conclusion from this article showed that the bandwidth can nearly be doubled from 46.9 to 96.8 with the inclusion of the high-capacity capacitor, hence proving that it has an important effect on bandwidth, while the introduction of an inductor extended it from 449.5 Hz to 513 Hz, elaborating a 35 % raise against the setup without an inductor. Moreover, for the 10 mm long piezoelectric patch, the thickness impacts quite a little on the output voltage, with a minimum of 15.17 v at a thickness of 0.0375 mm. Then, for the 32.1 mm Blaze length, there is a critical turn in the trend for the output voltage from the rise to fall back.

本文研究了一种具有自提取同步电路的压电局部谐振超材料锥形板的独特能量收集和带隙特性。在本文中，该结构的能量收集和带隙采用自提取同步电路。利用一阶圆锥面板理论（FSDT）建立弹性机电模型进行研究。在此基础上，研究了超材料锥形板的动力特性和局域共振模式产生的带隙特性，并进行了基于微分培养法和积分正交法的研究。能量收集能力也将进行测试，数值结果将在现有实验数据的帮助下进行验证。本文的结论表明，带宽几乎可以翻倍，从46.9到96.8，包括高容量电容器，从而证明它对带宽有重要影响，而电感的引入将其从449.5 Hz扩展到513 Hz，详细说明了35%的设置没有电感。此外，对于10 mm长的压电片，厚度对输出电压的影响较小，在厚度为0.0375 mm时，输出电压最小为15.17 v。然后，对于32.1 mm Blaze长度，在输出电压从上升到下降的趋势中有一个关键的转折。

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引用次数: 0