Mathematical and Computational Applications最新文献_第7页

Data-Driven Active Learning Control for Bridge Cranes 桥式起重机数据驱动主动学习控制

Mathematical and Computational Applications Pub Date : 2023-10-09 DOI: 10.3390/mca28050101

Haojie Lin, Xuyang Lou

引用次数: 0

On Generalized Dominance Structures for Multi-Objective Optimization 多目标优化的广义优势结构

Mathematical and Computational Applications Pub Date : 2023-10-07 DOI: 10.3390/mca28050100

Kalyanmoy Deb, Matthias Ehrgott

{"title":"On Generalized Dominance Structures for Multi-Objective Optimization","authors":"Kalyanmoy Deb, Matthias Ehrgott","doi":"10.3390/mca28050100","DOIUrl":"https://doi.org/10.3390/mca28050100","url":null,"abstract":"Various dominance structures have been proposed in the multi-objective optimization literature. However, a systematic procedure to understand their effect in determining the resulting optimal set for generic domination principles, besides the standard Pareto-dominance principle, is lacking. In this paper, we analyze and lay out properties of generalized dominance structures which help provide insights for resulting optimal solutions. We introduce the concept of the anti-dominance structure, derived from the chosen dominance structure, to explain how the resulting non-dominated or optimal set can be identified easily compared to using the dominance structure directly. The concept allows a unified explanation of optimal solutions for both single- and multi-objective optimization problems. The anti-dominance structure is applied to analyze respective optimal solutions for most popularly used static and spatially changing dominance structures. The theoretical and deductive results of this study can be utilized to create more meaningful dominance structures for practical problems, understand and identify resulting optimal solutions, and help develop better test problems and algorithms for multi-objective optimization.","PeriodicalId":352525,"journal":{"name":"Mathematical and Computational Applications","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135252084","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

Enhanced MPPT-Based Fractional-Order PID for PV Systems Using Aquila Optimizer 基于Aquila优化器的PV系统改进mpt分数阶PID

Mathematical and Computational Applications Pub Date : 2023-10-03 DOI: 10.3390/mca28050099

Mohammed Tadj, Lakhdar Chaib, Abdelghani Choucha, Al-Motasem Aldaoudeyeh, Ahmed Fathy, Hegazy Rezk, Mohamed Louzazni, Attia El-Fergany

{"title":"Enhanced MPPT-Based Fractional-Order PID for PV Systems Using Aquila Optimizer","authors":"Mohammed Tadj, Lakhdar Chaib, Abdelghani Choucha, Al-Motasem Aldaoudeyeh, Ahmed Fathy, Hegazy Rezk, Mohamed Louzazni, Attia El-Fergany","doi":"10.3390/mca28050099","DOIUrl":"https://doi.org/10.3390/mca28050099","url":null,"abstract":"This paper proposes a controller to track the maximum power point (MPP) of a photovoltaic (PV) system using a fractional-order proportional integral derivative (FOPID) controller. The employed MPPT is operated based on a dp/dv feedback approach. The designed FOPID-MPPT method includes a differentiator of order (μ) and integrator of order (λ), meaning it is an extension of the conventional PID controller. FOPID has more flexibility and achieves dynamical tuning, which leads to an efficient control system. The contribution of our paper lies is optimizing FOPID-MPPT parameters using Aquila optimizer (AO). The obtained results with the proposed AO-based FOPID-MPPT are contrasted with those acquired with moth flame optimizer (MFO). The performance of our FOPID-MPPT controller with the conventional technique perturb and observe (P&O) and the classical PID controller is analyzed. In addition, a robustness test is used to assess the performance of the FOPID-MPPT controller under load variations, providing valuable insights into its practical applicability and robustness. The simulation results clearly prove the superiority and high performance of the proposed control system to track the MPP of PV systems.","PeriodicalId":352525,"journal":{"name":"Mathematical and Computational Applications","volume":"91 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135695480","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

Predictive Modeling and Control Strategies for the Transmission of Middle East Respiratory Syndrome Coronavirus 中东呼吸综合征冠状病毒传播的预测建模与控制策略

Mathematical and Computational Applications Pub Date : 2023-09-30 DOI: 10.3390/mca28050098

Bibi Fatima, Mehmet Yavuz, Mati ur Rahman, Ali Althobaiti, Saad Althobaiti

{"title":"Predictive Modeling and Control Strategies for the Transmission of Middle East Respiratory Syndrome Coronavirus","authors":"Bibi Fatima, Mehmet Yavuz, Mati ur Rahman, Ali Althobaiti, Saad Althobaiti","doi":"10.3390/mca28050098","DOIUrl":"https://doi.org/10.3390/mca28050098","url":null,"abstract":"The Middle East respiratory syndrome coronavirus (MERS-CoV) is a highly infectious respiratory illness that poses a significant threat to public health. Understanding the transmission dynamics of MERS-CoV is crucial for effective control and prevention strategies. In this study, we develop a precise mathematical model to capture the transmission dynamics of MERS-CoV. We incorporate some novel parameters related to birth and mortality rates, which are essential factors influencing the spread of the virus. We obtain epidemiological data from reliable sources to estimate the model parameters. We compute its basic reproduction number (R0). Stability theory is employed to analyze the local and global properties of the model, providing insights into the system’s equilibrium states and their stability. Sensitivity analysis is conducted to identify the most critical parameter affecting the transmission dynamics. Our findings revealed important insights into the transmission dynamics of MERS-CoV. The stability analysis demonstrated the existence of stable equilibrium points, indicating the long-term behavior of the epidemic. Through the evaluation of optimal control strategies, we identify effective intervention measures to mitigate the spread of MERS-CoV. Our simulations demonstrate the impact of time-dependent control variables, such as supportive care and treatment, in reducing the number of infected individuals and controlling the epidemic. The model can serve as a valuable tool for public health authorities in designing effective control and prevention strategies, ultimately reducing the burden of MERS-CoV on global health.","PeriodicalId":352525,"journal":{"name":"Mathematical and Computational Applications","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136344288","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

Preconditioning Technique for an Image Deblurring Problem with the Total Fractional-Order Variation Model 全分数阶变分模型图像去模糊问题的预处理技术

Mathematical and Computational Applications Pub Date : 2023-09-22 DOI: 10.3390/mca28050097

Adel M. Al-Mahdi

{"title":"Preconditioning Technique for an Image Deblurring Problem with the Total Fractional-Order Variation Model","authors":"Adel M. Al-Mahdi","doi":"10.3390/mca28050097","DOIUrl":"https://doi.org/10.3390/mca28050097","url":null,"abstract":"Total fractional-order variation (TFOV) in image deblurring problems can reduce/remove the staircase problems observed with the image deblurring technique by using the standard total variation (TV) model. However, the discretization of the Euler–Lagrange equations associated with the TFOV model generates a saddle point system of equations where the coefficient matrix of this system is dense and ill conditioned (it has a huge condition number). The ill-conditioned property leads to slowing of the convergence of any iterative method, such as Krylov subspace methods. One treatment for the slowness property is to apply the preconditioning technique. In this paper, we propose a block triangular preconditioner because we know that using the exact triangular preconditioner leads to a preconditioned matrix with exactly two distinct eigenvalues. This means that we need at most two iterations to converge to the exact solution. However, we cannot use the exact preconditioner because the Shur complement of our system is of the form S=K*K+λLα which is a huge and dense matrix. The first matrix, K*K, comes from the blurred operator, while the second one is from the TFOV regularization model. To overcome this difficulty, we propose two preconditioners based on the circulant and standard TV matrices. In our algorithm, we use the flexible preconditioned GMRES method for the outer iterations, the preconditioned conjugate gradient (PCG) method for the inner iterations, and the fixed point iteration (FPI) method to handle the nonlinearity. Fast convergence was found in the numerical results by using the proposed preconditioners.","PeriodicalId":352525,"journal":{"name":"Mathematical and Computational Applications","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136098854","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

Lie Symmetry Classification, Optimal System, and Conservation Laws of Damped Klein–Gordon Equation with Power Law Non-Linearity 具有幂律非线性的阻尼Klein-Gordon方程的Lie对称分类、最优系统和守恒律

Mathematical and Computational Applications Pub Date : 2023-09-12 DOI: 10.3390/mca28050096

Fiazuddin D. Zaman, Fazal M. Mahomed, Faiza Arif

引用次数: 0

New Quality Measures for Quadrilaterals and New Discrete Functionals for Grid Generation 四边形的新质量度量和网格生成的新离散函数

Mathematical and Computational Applications Pub Date : 2023-09-09 DOI: 10.3390/mca28050095

Guilmer Ferdinand González Flores, Pablo Barrera Sánchez

引用次数: 0

Numerical and Evolutionary Optimization 2021 数值和进化优化2021

Mathematical and Computational Applications Pub Date : 2023-05-23 DOI: 10.3390/mca28030071

Marcela Quiroz-Castellanos, Luis Gerardo de la Fraga, Adriana Lara, Leonardo Trujillo, Oliver Schütze

引用次数: 0

A Parallel Solver for FSI Problems with Fictitious Domain Approach 基于虚拟域方法的FSI问题并行求解器

Mathematical and Computational Applications Pub Date : 2023-04-10 DOI: 10.3390/mca28020059

Daniele Boffi, Fabio Credali, Lucia Gastaldi, Simone Scacchi

引用次数: 0