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Investigation of Knee Torque Dynamics in Single-Leg Transfemoral Prosthetic during Walking Using Mathematical Modeling 利用数学建模研究单腿跨股假肢行走时的膝关节扭矩动力学
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-19 DOI: 10.1155/2024/8891686
Peguy Kameni Nteutse, Abebe Geletu

Transfemoral amputees rely on prosthetic devices to restore their mobility and maintain their independence. However, the design and performance of these devices can significantly affect the amputee’s gait and overall functionality. In this study, we investigate the knee torque dynamics of a single-leg transfemoral prosthetic during walking using a mathematical model that takes into consideration knee friction force (β2), the horizontal component of the ground reaction force (F1), and the vertical component of the ground reaction force (F2). By carrying out model simulation in the MATLAB tool, along with Simulink, we derived the tracking error between the generated knee torque of the transfemoral prosthesis and the knee torque trajectory for a normal human leg. This error was evaluated using the normalized root mean square error (NRMSE) method. Our results show that when β2 = 0.3 N.s.m−1, F1 = 320 N, and F2 = 800 N, a tracking error of NRMSE = 0.342868% occurs. A comparison between the simulated knee torque and a desired knee torque trajectory for a normal leg study in the literature suggests that the tracking error generated will force the amputee to use higher metabolic energy to minimize discomfort while walking. These findings highlight the importance of optimizing the design and performance of transfemoral prosthetic devices to improve the knee torque dynamics and overall functionality of amputees. Our mathematical model provides a useful tool for future research in this field, which could help develop more effective prosthetic devices for transfemoral amputees.

经股截肢者需要依靠假肢来恢复行动能力并保持独立。然而,这些装置的设计和性能会严重影响截肢者的步态和整体功能。在本研究中,我们使用一个数学模型研究了单腿跨股假肢在行走过程中的膝关节扭矩动力学,该模型考虑了膝关节摩擦力(β2)、地面反作用力的水平分量(F1)和地面反作用力的垂直分量(F2)。通过在 MATLAB 工具和 Simulink 中进行模型仿真,我们得出了经股假肢产生的膝关节扭矩与正常人腿膝关节扭矩轨迹之间的跟踪误差。该误差采用归一化均方根误差法(NRMSE)进行评估。结果表明,当 β2 = 0.3 N.s.m-1、F1 = 320 N 和 F2 = 800 N 时,跟踪误差为 NRMSE = 0.342868%。将模拟膝关节扭矩与文献中研究的正常腿的理想膝关节扭矩轨迹进行比较后发现,产生的跟踪误差将迫使截肢者使用更高的代谢能量,以尽量减少行走时的不适感。这些发现凸显了优化经股假肢装置的设计和性能以改善膝关节扭矩动态和截肢者整体功能的重要性。我们的数学模型为这一领域的未来研究提供了有用的工具,有助于为经股截肢者开发更有效的假肢装置。
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引用次数: 0
Multilayer Network-Based Evaluation of the Efficiency and Resilience of Network Flows 基于多层网络的网络流效率和弹性评估
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-18 DOI: 10.1155/2024/6940097
András Rácz-Szabó, Tamás Ruppert, János Abonyi

Supply chain optimization and resource allocation are challenging because of the complex dynamics of flows. We can classify these flows based on whether they perform value-added or nonvalue-added activities in our process. The aim of this article is to present a multilayered temporal network-based model for the analysis of network flows in supply chain optimization and resource allocation. Implementation of a multilayered network distinguishes value-added from nonvalue-added resource flows, enabling a comprehensive view of the flow of resources in the system. Incorporating weighted edges representing the probabilities of time-dependent flows identifies the resource needs and excesses at each supply site, addresses optimal transportation challenges for resource reallocation, and assesses the efficiency and robustness of the system by examining the overlaps in network layers. The proposed method offers a significant extension to the toolsets for network flow analysis, which has the potential to improve decision-making processes for organizations dealing with complex resource management problems. The applicability of the proposed method is demonstrated by analyzing the temporal network extracted from taxi cab flows in New York City. With the application of the method, the results indicate that significant reductions in idle times are achievable.

供应链优化和资源配置因复杂的动态流动而充满挑战。我们可以根据流程中的增值活动或非增值活动对这些流动进行分类。本文旨在提出一种基于多层时态网络的模型,用于分析供应链优化和资源分配中的网络流。采用多层网络可区分增值和非增值资源流,从而全面了解系统中的资源流。结合代表随时间变化的流动概率的加权边,可以识别每个供应点的资源需求和过剩情况,解决资源重新分配的最佳运输难题,并通过检查网络层的重叠情况来评估系统的效率和稳健性。所提出的方法为网络流量分析工具集提供了重要的扩展,有可能改善处理复杂资源管理问题的组织的决策过程。通过分析从纽约市出租车流中提取的时间网络,证明了所提方法的适用性。结果表明,应用该方法可以显著减少空闲时间。
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引用次数: 0
Nonlinear Dynamic Analysis on Dual-Rotor-Bearing-Casing System for Marine Gas Turbine 船用燃气轮机双转子轴承套管系统的非线性动态分析
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-17 DOI: 10.1155/2024/8747551
Zhikai Xing, Qiang Wang, Yongbao Liu, Mo Li, Xin Zhang

Taking the marine gas turbine as a research background, a dual-rotor-bearing-casing system model was established considering the bearing nonlinearities and unbalanced excitation. Based on Lagrange’s equation of motion and rotor dynamics theory, the effects of key parameters such as radial clearance of intershaft bearing, rotor mass eccentricity, and rotational speed on the nonlinear characteristics of the system are investigated. The results indicate that the typical parameters have a significant effect on the system’s nonlinearities. To alleviate the vibration jump phenomenon, the radial clearance should be reduced to improve the coupling between the high- and low-pressure rotors. Reducing the mass eccentricity can effectively degrade the resonance peaks, but it will highlight the hard resonance characteristics. The work process should pass through the resonant-speed regions and the low-speed regions of start-stop phase as soon as possible. The research findings contribute to understanding the nonlinear dynamic characteristics of dual-rotor systems, providing a theoretical basis for their stable operation and the optimal design of working speeds.

以船用燃气轮机为研究背景,建立了考虑轴承非线性和不平衡激励的双转子-轴承-机壳系统模型。基于拉格朗日运动方程和转子动力学理论,研究了轴间轴承径向游隙、转子质量偏心率和转速等关键参数对系统非线性特性的影响。结果表明,典型参数对系统的非线性有显著影响。为缓解振动跳跃现象,应减小径向间隙,以改善高压转子和低压转子之间的耦合。减小质量偏心可以有效降低共振峰值,但会突出硬共振特性。工作过程应尽快通过共振速度区和起停阶段的低速区。研究成果有助于理解双转子系统的非线性动态特性,为其稳定运行和工作速度的优化设计提供理论依据。
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引用次数: 0
Modeling the Effects of Ehrlichia chaffeensis and Movement on Dogs 模拟埃希氏菌和运动对狗的影响
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-15 DOI: 10.1155/2024/6878662
Folashade B. Agusto, Jaimie Drum

Ehrlichia chaffeensis is a tick-borne infectious disease transmitted by Amblyomma americanum tick. This infectious disease was discovered in the 1970s when military dogs were returning from the Vietnam War. The disease was found to be extremely severe in German Shepherds, Doberman Pinschers, Belgium Malinois, and Siberian Huskies. In this study, we developed a mathematical model for dogs and ticks infected with Ehrlichia chaffeensis with the aim of understanding the impact of movement on dogs as they move from one location to another. This could be a dog taken on a walk in an urban area or on a hike in the mountains. We carried out a global sensitivity analysis with and without movement between three locations using as response functions the sum of acutely and chronically infected ticks and the sum of infected ticks in all life stages. The parameters with the most significant impact on the response functions are dogs disease progression rate, dogs chronic infection progression rate, dogs recovery rate, dogs natural death rate, acutely and chronically infected dogs disease-induced death rate, dogs birth rate, eggs maturation rates, tick biting rate, dogs and ticks transmission probabilities, ticks death rate, and the location carrying capacity. Our simulation results show that infection in dogs and ticks are localized in the absence of movement and spreads between locations with highest infection in locations with the highest rate movement. Also, the effect of the control measures which reduces infection trickles to other locations (trickling effect) when controls are implemented in a single location. The trickling effect is strongest when control is implemented in a location with the highest movement rate into it.

Ehrlichia chaffeensis 是一种由美洲大蜱传播的蜱媒传染病。这种传染病发现于 20 世纪 70 年代,当时军犬从越南战争中归来。这种疾病在德国牧羊犬、杜宾犬、比利时马里诺犬和西伯利亚雪橇犬中的发病率极高。在这项研究中,我们建立了一个狗和蜱虫感染艾氏霍乱弧菌的数学模型,目的是了解狗从一个地方移动到另一个地方时移动对它们的影响。这可能是狗在市区散步,也可能是狗在山区远足。我们使用急性和慢性感染蜱虫的总和以及所有生命阶段感染蜱虫的总和作为响应函数,对三个地点之间有无移动进行了全局敏感性分析。对响应函数影响最大的参数是狗的疾病进展率、狗的慢性感染进展率、狗的康复率、狗的自然死亡率、急性和慢性感染狗的疾病诱发死亡率、狗的出生率、卵的成熟率、蜱的叮咬率、狗和蜱的传播概率、蜱的死亡率以及地点的承载能力。我们的模拟结果表明,在没有移动的情况下,狗和蜱的感染是局部性的,而在移动率最高的地点,狗和蜱的感染会在不同地点之间传播。此外,当在一个地点实施控制措施时,减少感染的控制措施的效果(涓流效应)会扩散到其他地点。在移动率最高的地点实施控制时,涓流效应最强。
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引用次数: 0
An NLP-Based Framework to Spot Extremist Networks in Social Media 在社交媒体中发现极端主义网络的基于 NLP 的框架
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-15 DOI: 10.1155/2024/3380488
Andrés Zapata Rozo, Daniel Díaz-López, Javier Pastor-Galindo, Félix Gómez Mármol, Umit Karabiyik

Governments and law enforcement agencies (LEAs) are increasingly concerned about growing illicit activities in cyberspace, such as cybercrimes, cyberespionage, cyberterrorism, and cyberwarfare. In the particular context of cyberterrorism, hostile social manipulation (HSM) represents a strategy that employs different manipulation methods, mostly through social media, to promote extremism in social groups and encourage hostile behavior against a target. Thus, this paper proposes a framework based on natural language processing (NLP) that detects and inspects supposed HSM actions to support law enforcement agencies (LEAs) in the prevention of cyberterrorism. The proposal integrates different NLP techniques through three models: (i) a similarity model that relates content with similar semantic meaning, (ii) a polarity analysis model that estimates polarity, and (iii) a named-entity recognition (NER) model that recognizes relevant entities. In addition, our proposed framework is evaluated in each of its components through exhaustive experiments and is tested with a particular use case related to violent protests in Ecuador in October 2021. Use case’s results indicate that 3 and 4 clusters are obtained when Spanish and English-translated tweets are used, respectively. An analysis of polarity over English-translated tweets allows us to identify, through two different methods, the most negative cluster (#1). The results of the extraction of the mentions show that our framework is able to identify entities of the type of person that may be at risk with a precision of 89.91%. Knowledge graphs achieved in our use case allow us to identify how nodes that promote HSM are interconnected and work collaboratively. Finally, the computational costs of our proposal are quite favorable as memory consumption of similarity and polarity models is proportional to the number of processed tweets, confirming the feasibility of the solution in a real context.

各国政府和执法机构(LEAs)越来越关注网络空间日益增多的非法活动,如网络犯罪、网络间谍、网络恐怖主义和网络战争。在网络恐怖主义的特殊背景下,敌对社交操纵(HSM)是一种策略,它采用不同的操纵方法,主要是通过社交媒体,在社会群体中宣扬极端主义,鼓励针对目标的敌对行为。因此,本文提出了一个基于自然语言处理(NLP)的框架,用于检测和检查假定的 HSM 行为,以支持执法机构(LEA)预防网络恐怖主义。该建议通过三个模型整合了不同的 NLP 技术:(i) 相似性模型,用于关联语义相似的内容;(ii) 极性分析模型,用于估计极性;(iii) 命名实体识别模型,用于识别相关实体。此外,我们还通过详尽的实验对所提出的框架的各个组成部分进行了评估,并用一个与 2021 年 10 月厄瓜多尔暴力抗议活动有关的特定用例进行了测试。使用案例的结果表明,在使用西班牙语和英语翻译的推文时,分别获得了 3 个和 4 个聚类。通过对英文翻译推文的极性分析,我们通过两种不同的方法确定了最负面的聚类(#1)。提取提及信息的结果表明,我们的框架能够识别出可能面临风险的人的实体类型,精确度高达 89.91%。在我们的用例中实现的知识图谱使我们能够识别促进 HSM 的节点是如何相互关联和协同工作的。最后,由于相似性和极性模型的内存消耗与处理的推文数量成正比,我们的建议的计算成本相当低,这证实了该解决方案在实际环境中的可行性。
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引用次数: 0
A Demand Forecasting Model Leveraging Machine Learning to Decode Customer Preferences for New Fashion Products 利用机器学习解码客户对时尚新品偏好的需求预测模型
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-11 DOI: 10.1155/2024/8425058
S. Anitha, R. Neelakandan

Demand forecasting for new products in the fashion industry has always been challenging due to changing trends, longer lead times, seasonal shifts, and the proliferation of products. Accurate demand forecasting requires a thorough understanding of consumer preferences. This research suggests a model based on machine learning to analyse customer preferences and forecast the demand for new products. To understand customer preferences, the fitting room data are analysed, and customer profiles are created. K-means clustering, an unsupervised machine learning algorithm, is applied to form clusters by grouping similar profiles. The clusters were assigned weights related to the percentage of product in each cluster. Following the clustering process, a decision tree classification model is used to classify the new product into one of the predefined clusters to predict demand for the new product. This demand forecasting approach will enable retailers to stock products that align with customer preferences, thereby minimising excess inventory.

由于流行趋势不断变化、交货期较长、季节性变化和产品激增,时尚业新产品的需求预测一直面临挑战。要进行准确的需求预测,就必须全面了解消费者的偏好。本研究提出了一种基于机器学习的模型,用于分析顾客偏好和预测新产品需求。为了解顾客偏好,我们对试衣间数据进行了分析,并创建了顾客档案。应用无监督机器学习算法 K-means 聚类,通过将相似的资料分组来形成聚类。聚类的权重与每个聚类中产品的百分比有关。在聚类过程之后,使用决策树分类模型将新产品归入预定义的聚类之一,以预测新产品的需求。这种需求预测方法将使零售商能够库存符合客户偏好的产品,从而最大限度地减少过剩库存。
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引用次数: 0
Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block-Pulse Functions for Solving a System of Fractional Differential Equations 基于混合偏移正交多项式和块脉冲函数的数值方法求解分式微分方程系统
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-09 DOI: 10.1155/2024/6302827
Abdulqawi A. M. Rageh, Adel R. Hadhoud

This paper develops two numerical methods for solving a system of fractional differential equations based on hybrid shifted orthonormal Bernstein polynomials with generalized block-pulse functions (HSOBBPFs) and hybrid shifted orthonormal Legendre polynomials with generalized block-pulse functions (HSOLBPFs). Using these hybrid bases and the operational matrices method, the system of fractional differential equations is reduced to a system of algebraic equations. Error analysis is performed and some simulation examples are provided to demonstrate the efficacy of the proposed techniques. The numerical results of the proposed methods are compared to those of the existing numerical methods. These approaches are distinguished by their ability to work on the wide interval [0, a], as well as their high accuracy and rapid convergence, demonstrating the utility of the proposed approaches over other numerical methods.

本文基于具有广义块脉冲函数的混合移位正交伯恩斯坦多项式(HSOBBPFs)和具有广义块脉冲函数的混合移位正交列根德多项式(HSOLBPFs),开发了两种求解分数微分方程系的数值方法。利用这些混合基和运算矩阵方法,分数微分方程系被简化为代数方程系。我们进行了误差分析,并提供了一些仿真实例来证明所提技术的有效性。建议方法的数值结果与现有数值方法的结果进行了比较。这些方法的显著特点是能够在较宽的区间 [0, a]内工作,而且精度高、收敛快,这表明所提出的方法比其他数值方法更有用。
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引用次数: 0
Dual-Sliding-Mode-Observer-Based IPMSM Sensorless Control Technique 基于双滑动模式观测器的 IPMSM 无传感器控制技术
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-05 DOI: 10.1155/2024/5512231
Sang Xu, Anwen Shen, Mingzhen Zhang, Qipeng Tang, Xin Luo, Jinbang Xu

Back electromotive force (EMF)-based sliding mode observer (SMO) is increasingly employed for interior permanent magnet synchronous machine (IPMSM) sensorless drives due to its high robustness to external disturbance and low sensitivity to system parameter variations. However, its control performance is severely weakened by the inherent chattering and speed iteration operation. In order to effectively resolve these problems, a strategy to design a dual-SMO is proposed in this paper. With the proposed strategy, the combination of the stator-voltage transformation matrix (SVTM) and the low-pass filter is developed to obtain the rotor position information, which greatly alleviates the chattering without any deviations. Meanwhile, three independent equations are constructed and extracted by placing two SVTMs in different locations. By solving these three equations, the rotor position can be calculated directly with zero phase shift, which eliminates the speed iteration operation and improves the system’s dynamic performance. Furthermore, by analyzing the influences of machine parameters’ variations, the suitable virtual q-axis inductance can be selected to quickly achieve the optimal-efficiency sensorless control of the IPMSM. Finally, the experimental results on an IPMSM demonstrate that the rotor position with good steady-state and dynamic performance can be obtained accurately by using the proposed sensorless control strategy.

基于反向电动势(EMF)的滑模观测器(SMO)对外部干扰具有很强的鲁棒性,对系统参数变化的敏感性较低,因此越来越多地应用于内部永磁同步机(IPMSM)无传感器驱动器。然而,其固有的颤振和速度迭代操作严重削弱了其控制性能。为了有效解决这些问题,本文提出了一种设计双 SMO 的策略。根据所提出的策略,结合定子电压变换矩阵(SVTM)和低通滤波器来获取转子位置信息,从而大大缓解了颤振,且不会出现任何偏差。同时,通过在不同位置放置两个 SVTM,构建并提取了三个独立方程。通过求解这三个方程,可以直接计算出相移为零的转子位置,从而消除了速度迭代操作,提高了系统的动态性能。此外,通过分析机器参数变化的影响,可以选择合适的虚拟 q 轴电感,从而快速实现 IPMSM 的最佳效率无传感器控制。最后,在 IPMSM 上的实验结果表明,使用所提出的无传感器控制策略可以精确地获得具有良好稳态和动态性能的转子位置。
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引用次数: 0
A Bi-Objective Stochastic Model of Locating-Allocating-Routing Relief and Rescue in Disaster Response Conditions: An Accelerated Benders Decomposition 灾害响应条件下定位-分配-路由救援的双目标随机模型:加速本德斯分解法
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-02 DOI: 10.1155/2024/8838354
Behrooz Baygan, Ahmad Mehrabian, Mahdi Yousefi Nejad Attari, Mohammad Jafar Doostideilami

Problem Statement. Proper and timely relief in the postdisaster phase is very important to minimize victims and casualties. It is necessary to assess the needs of the affected points and provide relief in the shortest possible time without wasting time. For this purpose, it is necessary and vital to determine the location of care centers, temporary accommodation centers, and routing to distribution vital and medical items. The Proposed Approach. In this paper, using a scenario-based stochastic planning mathematical model, postdisaster relief is discussed. Also, attention has been paid to the distribution of vital items by using routing. Contributions. By using the epsilon constraint method, a strong efficient solution has been achieved for model’s objectives, and also a sensitivity analysis has been performed on some of the model’s parameters. Also, an accelerated stochastic benders decomposition algorithm is suggested to solve the problem modeled in this paper. To speed up the convergence of the solution algorithm, valid inequalities are introduced to get better quality lower bounds. Results. The results of the research show that the simultaneous consideration of the relief evacuation and distribution process improves the relief logistics process.

问题陈述。在灾后阶段提供适当和及时的救援对于最大限度地减少灾民和人员伤亡非常重要。有必要对受灾点的需求进行评估,并在尽可能短的时间内提供救援,避免浪费时间。为此,必须确定护理中心、临时住宿中心的位置,以及分发重要物品和医疗用品的路线。建议采用的方法。本文采用基于情景的随机规划数学模型,对灾后救援进行了讨论。此外,本文还关注了利用路由分配重要物品的问题。贡献。通过使用ε约束方法,为模型的目标实现了一个强有效解,同时还对模型的一些参数进行了敏感性分析。此外,本文还提出了一种加速随机弯曲分解算法来解决模型问题。为了加快求解算法的收敛速度,本文引入了有效不等式,以获得更高质量的下限。研究结果研究结果表明,同时考虑救灾物资的疏散和分发过程可以改善救灾物流过程。
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引用次数: 0
Risk Assessment for Complex Systems Based on Fuzzy Cognitive Maps: A Case of the Biopharmaceutical Industry 基于模糊认知图的复杂系统风险评估:生物制药行业案例
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-30 DOI: 10.1155/2024/4369401
Hadi Abbasian, Reza Yousefi-Zenouz, Abdollah Amirkhani, Masoud Shirzadeh, Akbar Abdollahiasl, Shekoufeh Nikfar, Mohammadreza Siahi-Shadabad, Abbas Kebriaeezadeh

Analyzing the supply chain (SC) of biopharmaceutical drugs can be challenging due to their complexity, the existence of a wide variety of risks, and the dynamics of the system. This paper presents a framework for evaluating the SC risks of Iranian biopharmaceutical companies based on cause-and-effect relationships and fuzzy cognitive maps (FCMs). We first interviewed several biopharmaceutical supply experts to learn about potential SC risks, causal relationships among FCM concepts, FCM structure, and FCM activation cycle. The most critical and relevant risks and significant elements of the SCs, such as cost, time, and quality, were identified as relevant FCM concepts. Then, we used failure mode and effects analysis (FMEA) and the FCM of the SC risks to assess the impacts of the biopharmaceutical SC risks on each other and on the crucial elements of the SCs. The Hebbian learning algorithms were then applied to train the FCM models. We tested different scenarios to evaluate the impacts of FCM concepts on the SC risks. The proposed approach can prioritize risk factors and, more importantly, predict and analyze the effect of each risk factor/risk group on other risks or the outcome of a given risk. The proposed FCM features and the knowledge gained from evaluating them can provide practical and helpful information to pharmaceutical companies to deal with their supply risks more efficiently.

由于生物制药供应链(SC)的复杂性、各种风险的存在以及系统的动态性,分析生物制药供应链具有挑战性。本文提出了一个基于因果关系和模糊认知图(FCM)的框架,用于评估伊朗生物制药公司的供应链风险。我们首先采访了几位生物制药供应专家,以了解潜在的 SC 风险、FCM 概念之间的因果关系、FCM 结构和 FCM 激活周期。最关键、最相关的风险和供应链的重要元素,如成本、时间和质量,被确定为相关的 FCM 概念。然后,我们使用失效模式与效应分析(FMEA)和 SC 风险的 FCM 来评估生物制药 SC 风险对彼此以及 SC 关键要素的影响。然后应用希比安学习算法来训练 FCM 模型。我们测试了不同的情景,以评估 FCM 概念对 SC 风险的影响。所提出的方法可以对风险因素进行优先排序,更重要的是,可以预测和分析每个风险因素/风险组对其他风险或给定风险结果的影响。拟议的供应链管理特征以及通过评估这些特征获得的知识可为制药公司提供实用和有用的信息,以更有效地处理其供应风险。
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Complexity
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