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Linear Programming and Its Application Techniques in Optimizing Portfolio Selection of a Firm 线性规划及其在企业投资组合优化中的应用技术
Pub Date : 2020-12-11 DOI: 10.1155/2020/8817909
N. Oladejo, A. Abolarinwa, S. Salawu
Optimization techniques have been used in this paper to obtain an optimal investment in a selected portfolio that gives maximum returns with minimal inputs based on the secondary data supplied by a particular firm that is examined. Sensitivity analysis is done to ascertain the robustness of the resulting model towards the changes in input parameters to determine a redundant constraint using linear programming. The challenge of determining the available funds and allocating each component of the portfolio to maximize returns and minimize inputs by portfolio holders and managers who are the major decision-makers in allocating their resources cannot be quantified. This optimization technique is used to obtain an optimal investment portfolio including financial risks of a firm with disposable of $15,000,000.00 invested in crude oil, mortgage securities, cash crop, certificate of deposit, fixed deposit, treasury bills, and construction loans. The model is a single-objective model that maximizes the return on the portfolio as the interests on the original data reduces by 5%; then, the return on investments also reduced by almost 15%, with the quantum of money on treasury bills and construction loans posing a significant reduction for the maximum return. The investment in the other options saw a slight decrease. Also, as the interest rates of the original data increase by 5%, the return on investments also grows by almost 17% while the quantum of money on the treasury bills and construction loans increases, and the quantum of money on the other options experienced a decrease except for mortgage securities which recorded a slight increase.
优化技术已在本文中使用,以获得一个选择的投资组合的最优投资,以最小的投入给予最大的回报,基于一个特定的公司提供的次要数据,被检查。通过灵敏度分析确定模型对输入参数变化的鲁棒性,利用线性规划确定冗余约束。确定可用资金和分配投资组合的每个组成部分以最大化回报和最小化投资组合持有人和管理人员(他们是分配资源的主要决策者)的投入的挑战是无法量化的。利用该优化技术,以某公司150,000,000.00美元的可支配资产投资于原油、抵押证券、经济作物、定期存单、定期存单、国库券、建设贷款等项目,得到一个包含财务风险的最优投资组合。该模型是一个单目标模型,当原始数据的利息减少5%时,使投资组合的回报最大化;然后,投资回报也减少了近15%,国库券和建设贷款的资金数量大大减少了最大回报。对其他期权的投资略有减少。另外,随着基准利率上升5%,投资收益率也增加了近17%,而短期国库券和建设贷款的资金量增加,除抵押贷款证券略有增加外,其他期权的资金量都有所减少。
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引用次数: 4
A survey and analysis of intrusion detection models based on CSE-CIC-IDS2018 Big Data 基于CSE-CIC-IDS2018大数据的入侵检测模型调查与分析
Pub Date : 2020-11-23 DOI: 10.1186/s40537-020-00382-x
Joffrey L. Leevy, T. Khoshgoftaar
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引用次数: 88
Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes 不同社会经济阶层拉沙热模型的动力系统分析
Pub Date : 2020-11-18 DOI: 10.1155/2020/2601706
Ifeanyi Sunday Onah, O. C. Collins
Lassa fever is an animal-borne acute viral illness caused by Lassa virus. It poses a serious health challenge around the world today, especially in West African countries like Ghana, Benin, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. In this work, we formulate a multiple-patch Lassa fever model, where each patch denotes a socioeconomic class (SEC). Some of the important epidemiological features such as basic reproduction number of the model were determined and analysed accordingly. We further investigated how varying SECs affect the transmission dynamics of Lassa fever. We analysed the required state at which each SEC is responsible in driving the Lassa fever disease outbreak. Sensitivity analyses were carried out to determine the importance of model parameters to the disease transmission and prevalence. We carried out numerical simulation to support our analytical results. Finally, we extend some of the results of the 2-patch model to the general - patch model.
拉沙热是由拉沙病毒引起的动物传播的急性病毒性疾病。它今天在世界各地构成了严重的卫生挑战,特别是在加纳、贝宁、几内亚、利比里亚、马里、塞拉利昂和尼日利亚等西非国家。在这项工作中,我们制定了一个多斑块拉沙热模型,其中每个斑块表示一个社会经济阶层(SEC)。对模型的基本繁殖数等重要流行病学特征进行了确定和分析。我们进一步研究了不同SECs对拉沙热传播动力学的影响。我们分析了每个SEC在推动拉沙热病暴发中负责的必要状态。进行敏感性分析以确定模型参数对疾病传播和流行的重要性。我们进行了数值模拟来支持我们的分析结果。最后,我们将2-patch模型的一些结果推广到一般的-patch模型。
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引用次数: 10
Integrating ROS and IoT in a Virtual Laboratory for Control System Engineering 在控制系统工程虚拟实验室中集成ROS和物联网
Pub Date : 2020-11-18 DOI: 10.1155/2020/8987150
C. Urrea, J. Kern
This article presents the implementation of a learning environment for the teaching of control systems. This environment integrates physical equipment and simulation, monitoring, and control through a network. A software platform based on ROS (Robotic Operating System) grants access to the system through intranet and Internet, facilitating the integration of new test equipment. The environment developed can be used in didactic experiences both inside and outside the classroom, enhancing the learning of four main study topics: modeling, analysis, parameter estimation, and controller design.
本文介绍了一种用于控制系统教学的学习环境的实现。该环境通过网络将物理设备与仿真、监视和控制集成在一起。基于ROS(机器人操作系统)的软件平台,通过内部网和Internet接入系统,便于新测试设备的集成。开发的环境可用于课堂内外的教学经验,加强四个主要研究主题的学习:建模,分析,参数估计和控制器设计。
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引用次数: 1
Extended Gumbel Type-2 Distribution: Properties and Applications 扩展Gumbel类型-2分布:属性和应用
Pub Date : 2020-11-07 DOI: 10.1155/2020/2798327
A. A. Ogunde, Taiwo Stephen Fayose, B. Ajayi, D. Omosigho
In this paper, we proposed a new four-parameter Extended Gumbel type-2 distribution which can further be split into the Lehman type I and type II Gumbel type-2 distribution by using a generalized exponentiated distribution. The distributional properties of the proposed distribution have been studied. We derive the th moment; thus, we generalize some results in the literature. Expressions for the density, moment-generating function, and th moment of the order statistics are also obtained. We discuss estimation of the parameters by maximum likelihood and provide the information matrix of the developed distribution. Two life data, which consist of data on cancer remission times and survival times of pigs, were used to show the applicability of the Extended Gumbel type-2 distribution in modelling real life data, and we found out that the new model is more flexible than its submodels.
本文利用广义指数分布,提出了一种新的四参数扩展Gumbel 2型分布,该分布可进一步分为Lehman I型和II型Gumbel 2型分布。研究了所提出的分布的分布性质。我们推导力矩;因此,我们概括了文献中的一些结果。得到了阶统计量的密度、矩生成函数和矩的表达式。讨论了用极大似然法估计参数的问题,并给出了已开发分布的信息矩阵。利用猪的癌症缓解时间和生存时间这两个生命数据,证明了扩展Gumbel 2型分布在真实生活数据建模中的适用性,发现新模型比它的子模型更灵活。
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引用次数: 9
Computing the q-Numerical Range of Differential Operators 计算微分算子的q-数值范围
Pub Date : 2020-08-28 DOI: 10.1155/2020/6584805
Ahmed Muhammad, Faiza Abdullah Shareef
A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the - numerical range of bounded and unbounnded operator matrices by variational methods. Application to SchrA¶dinger operator, Stokes operator, and Hain-LA¼st operator is given.
希尔伯特空间上的线性算子可以用有限矩阵逼近,方法是选择希尔伯特空间的一个正交基。本文用变分方法建立了有界和无界算子矩阵的数值范围的近似。给出了schringer算子、Stokes算子和Hain-LA μ st算子的应用。
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引用次数: 0
A New Numerical Procedure for Vibration Analysis of Beam under Impulse and Multiharmonics Piezoelectric Actuators 梁在脉冲和多谐波压电作动器作用下振动分析的一种新的数值方法
Pub Date : 2020-08-28 DOI: 10.1155/2020/7391848
Yassin Belkourchia, L. Azrar
The dynamic behavior of structures with piezoelectric patches is governed by partial differential equations with strong singularities. To directly deal with these equations, well adapted numerical procedures are required. In this work, the differential quadrature method (DQM) combined with a regularization procedure for space and implicit scheme for time discretization is used. The DQM is a simple method that can be implemented with few grid points and can give results with a good accuracy. However, the DQM presents some difficulties when applied to partial differential equations involving strong singularities. This is due to the fact that the subsidiaries of the singular functions cannot be straightforwardly discretized by the DQM. A methodological approach based on the regularization procedure is used here to overcome this difficulty and the derivatives of the Dirac-delta function are replaced by regularized smooth functions. Thanks to this regularization, the resulting differential equations can be directly discretized using the DQM. The efficiency and applicability of the proposed approach are demonstrated in the computation of the dynamic behavior of beams for various boundary conditions and excited by impulse and Multiharmonics piezoelectric actuators. The obtained numerical results are well compared to the developed analytical solution.
带有压电片的结构的动力行为由具有强奇异性的偏微分方程控制。为了直接处理这些方程,需要很好地适应数值过程。在这项工作中,微分正交法(DQM)结合正则化过程的空间和隐式格式的时间离散。DQM是一种简单的方法,可以用很少的网格点来实现,并且可以给出精度较高的结果。然而,DQM在求解强奇异性偏微分方程时存在一些困难。这是由于奇异函数的子函数不能被DQM直接离散。本文采用一种基于正则化过程的方法来克服这一困难,并将狄拉克函数的导数替换为正则化的光滑函数。由于这种正则化,得到的微分方程可以使用DQM直接离散化。通过计算受脉冲和多谐波压电致动器激励的梁在不同边界条件下的动力特性,证明了该方法的有效性和适用性。所得到的数值结果与开发的解析解相比较,得到了很好的结果。
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引用次数: 1
Elimination of the Impact Produced by DG Units on the Voltage Profile of Distribution Networks 消除DG机组对配电网电压分布的影响
Pub Date : 2020-08-18 DOI: 10.1155/2020/1395943
Saad Ouali, Abdeljabbar Cherkaoui
In this paper, an alternative strategy for real-time control of active distribution network voltage is developed, not by controlling the bus voltage as in the various centralized, decentralized, and local approaches presented in literature but rather by only eliminating the impact produced by active and reactive power of distributed generation (DG) units on the voltage of all network nodes and keeping the traditional voltage control systems dealing with the same constraints of passive systems. In literature, voltage deterioration introduced by DGs has been reported as one of the main obstacles for the interconnection of large amounts of DG units to the existing networks. In this paper, the novel control strategy is based on a sensitivity formula developed to calculate the compensation needed for additional distributed flexible AC transmission system (D-FACTS) devices to push and pull the exact reactive power and to eliminate the impact produced by DGs on the network voltage profile. The criteria of the allocation of the var devices and the required network reinforcement are developed in this paper, considering all possible topology structures, and an innovative codification method is introduced to reduce the needed computation time and communication data to actualize the sensitivity coefficients and get the proposed control approach flexible with network topology reconfiguration. The risk of the conflict of the proposed control system with the traditional voltage equipment is reduced due to the fast capability of D-FACTS devices to regulate their reactive power in finer granularity. A case study of two meshed IEEE 15-bus feeders is introduced to compare the voltage behavior with and without the presence of DG units and to evaluate the total system losses. The proposed method could be used for the interconnection of the first generation units in emerging networks, which does not yet have an active voltage control strategy, as it could be used for DG units not able to be connected to existing centralized control systems and it could also be used as the principal voltage control strategy, with the extension for several neighboring units and the preservation of the traditional voltage control systems.
本文提出了一种实时控制有源配电网电压的替代策略,不像文献中提出的各种集中、分散和局部方法那样通过控制母线电压,而是通过仅消除分布式发电(DG)机组的有功和无功功率对所有网络节点电压的影响,并保持传统的电压控制系统处理无源系统的相同约束。在文献中,DG引入的电压劣化已被报道为大量DG单元与现有网络互连的主要障碍之一。在本文中,新的控制策略是基于一个灵敏度公式,该公式用于计算额外的分布式柔性交流输电系统(D-FACTS)设备所需的补偿,以推拉准确的无功功率,并消除dg对网络电压分布的影响。在考虑所有可能的拓扑结构的情况下,提出了可变设备的分配准则和所需的网络加固,并引入了一种创新的编码方法,以减少实现灵敏度系数所需的计算时间和通信数据,并使所提出的控制方法在网络拓扑重构时具有灵活性。由于D-FACTS器件能够快速、精细地调节其无功功率,降低了所提出的控制系统与传统电压设备冲突的风险。介绍了两个网状IEEE 15总线馈线的案例研究,以比较有和没有DG单元存在的电压行为,并评估系统的总损耗。提出的方法可以用于新兴电网中尚未具有主动电压控制策略的第一代机组的互连,因为它可以用于无法连接到现有集中控制系统的DG机组,也可以用作主电压控制策略,扩展到几个相邻机组并保留传统的电压控制系统。
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引用次数: 3
Mathematical Modeling, Analysis, and Optimal Control of Corruption Dynamics 腐败动力学的数学建模、分析与最优控制
Pub Date : 2020-08-01 DOI: 10.1155/2020/5109841
Haileyesus Tessema Alemneh
In this paper, a nonlinear deterministic model for the dynamics of corruption is proposed and analysed qualitatively using the stability theory of differential equations. The basic reproduction number with respect to the corruption-free equilibrium is obtained using next-generation matrix method. The conditions for local and global asymptotic stability of corruption-free and endemic equilibria are established. From the analysis using center manifold theory, the model exhibits forward bifurcation. Then, the model was extended by reformulating it as an optimal control problem, with the use of two time-dependent controls to assess the impact of corruption on human population, namely, campaigning about corruption through media and advertisement and exposing corrupted individuals to jail and giving punishment. By using Pontryagin’s maximum principle, necessary conditions for the optimal control of the transmission of corruption were derived. From the numerical simulation, it was found that the integrated control strategy must be taken to fight against corruption.
本文利用微分方程的稳定性理论,提出了一种非线性确定性模型,并对其进行了定性分析。采用新一代矩阵法求出了无腐蚀平衡的基本再现数。建立了无腐败平衡点和地方性平衡点的局部和全局渐近稳定的条件。从中心流形理论的分析来看,该模型表现为正向分岔。然后,通过将模型重新表述为最优控制问题来扩展该模型,使用两个时间相关的控制来评估腐败对人口的影响,即通过媒体和广告开展反腐败运动,并将腐败的个人暴露于监狱并给予惩罚。利用庞特里亚金极大值原理,导出了最优控制腐败传播的必要条件。数值模拟结果表明,要打击腐败,必须采取综合控制策略。
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引用次数: 15
Fuzzy Modeling for the Dynamics of Alcohol-Related Health Risks with Changing Behaviors via Cultural Beliefs 通过文化信仰改变行为的酒精相关健康风险动态模糊建模
Pub Date : 2020-07-13 DOI: 10.1155/2020/8470681
Maranya M. Mayengo, M. Kgosimore, S. Chakraverty
In this paper, we propose and analyze a fuzzy model for the health risk challenges associated with alcoholism. The fuzziness gets into the system by assuming uncertainty condition in the measure of influence of the risky individual and the additional death rate. Specifically, the fuzzy numbers are defined functions of the degree of peer influence of a susceptible individual into drinking behavior. The fuzzy basic risk reproduction number is computed by means of Next-Generation Matrix and analyzed. The analysis of reveals that health risk associated with alcoholism can be effectively controlled by raising the resistance of susceptible individuals and consequently reducing their chances of initiation of drinking behavior. When perceived respectable individuals in the communities are involved in health education campaign, the public awareness about prevailing risks increases rapidly. Consequently, a large population proportion will gain protection from initiation of drinks which would accelerate their health condition into more risky states. In a situation where peer influence is low, the health risks are likely to be reduced by natural factors that provide virtual protection from alcoholism. However, when the perceived most influential people in the community engage in alcoholism behavior, it implies an increase in the force of influence, and as such, the system will be endemic.
在本文中,我们提出并分析了一个与酒精中毒相关的健康风险挑战的模糊模型。通过在风险个体和附加死亡率的影响度量中假设不确定条件,将模糊性引入系统。具体地说,模糊数是一个易感个体对饮酒行为的同伴影响程度的定义函数。利用新一代矩阵计算模糊基本风险再现数,并对其进行分析。分析表明,通过提高易感个体的抵抗力,从而减少他们开始饮酒行为的机会,可以有效地控制与酒精中毒有关的健康风险。当社区中被认为受人尊敬的个人参与健康教育运动时,公众对当前风险的认识迅速提高。因此,很大比例的人口将获得保护,以避免开始饮酒,这将加速他们的健康状况进入更危险的状态。在同伴影响较低的情况下,健康风险可能会因自然因素而降低,这些自然因素实际上提供了防止酗酒的保护。然而,当社区中被认为最有影响力的人从事酗酒行为时,这意味着影响力的增加,因此,该系统将是地方性的。
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引用次数: 8
期刊
International journal of big data
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