首页 > 最新文献

Results in Control and Optimization最新文献

英文 中文
Effect of fear in a fractional order prey–predator model with time delayed carrying capacity 具有时间延迟承载能力的分数阶捕食模型中恐惧的影响
Q3 Mathematics Pub Date : 2025-04-25 DOI: 10.1016/j.rico.2025.100567
Pramodh Bharati , Subrata Paul , Animesh Mahata , Supriya Mukherjee , Subhabrata Mondal , Banamali Roy
The Caputo technique is used in this article to analyze the fractional-order predator–prey scenario. Incorporating a delayed carrying capacity for the prey population and posing the impact of individual prey fear on predators are two aspects of this. We first provide the model’s formulation in terms of an integer order derivative, and subsequently we expand it to a fractional order system in terms of the Caputo derivative. The article contains a number of conclusions about the prerequisites for the model’s existence and uniqueness as well as the restrictions on the boundedness and positivity of the solution. To satisfy the requirements for the existence and uniqueness of the precise solution, the Lipschitz condition is applied. Within the local context, we have examined the stability of equilibrium points. Additionally, we investigated whether Hopf bifurcation may occur at the interior equilibrium point of our suggested model. We have used the Generalised Euler technique to approximatively solve the model. The suggested scheme’s dependability is indicated by the fact that the results produced using the current numerical approach converge to equilibrium for the fractional order. For our research, MATLAB was used to enable graphical representations and numerical simulations.
本文使用Caputo技术来分析分数阶捕食者-猎物场景。将猎物种群的延迟承载能力与单个猎物对捕食者的恐惧的影响结合起来是这方面的两个方面。我们首先提供了一个整数阶导数的模型公式,随后我们将其扩展到一个分数阶系统的Caputo导数。本文给出了模型存在唯一性的先决条件以及解的有界性和正性的限制条件。为了满足精确解的存在唯一性要求,应用了Lipschitz条件。在局部情况下,我们考察了平衡点的稳定性。此外,我们还研究了Hopf分岔是否可能发生在我们建议的模型的内部平衡点上。我们使用广义欧拉技术对模型进行了近似求解。采用现有数值方法得到的结果收敛于分数阶的平衡态,表明了所提方案的可靠性。在我们的研究中,使用MATLAB进行图形表示和数值模拟。
{"title":"Effect of fear in a fractional order prey–predator model with time delayed carrying capacity","authors":"Pramodh Bharati ,&nbsp;Subrata Paul ,&nbsp;Animesh Mahata ,&nbsp;Supriya Mukherjee ,&nbsp;Subhabrata Mondal ,&nbsp;Banamali Roy","doi":"10.1016/j.rico.2025.100567","DOIUrl":"10.1016/j.rico.2025.100567","url":null,"abstract":"<div><div>The Caputo technique is used in this article to analyze the fractional-order predator–prey scenario. Incorporating a delayed carrying capacity for the prey population and posing the impact of individual prey fear on predators are two aspects of this. We first provide the model’s formulation in terms of an integer order derivative, and subsequently we expand it to a fractional order system in terms of the Caputo derivative. The article contains a number of conclusions about the prerequisites for the model’s existence and uniqueness as well as the restrictions on the boundedness and positivity of the solution. To satisfy the requirements for the existence and uniqueness of the precise solution, the Lipschitz condition is applied. Within the local context, we have examined the stability of equilibrium points. Additionally, we investigated whether Hopf bifurcation may occur at the interior equilibrium point of our suggested model. We have used the Generalised Euler technique to approximatively solve the model. The suggested scheme’s dependability is indicated by the fact that the results produced using the current numerical approach converge to equilibrium for the fractional order. For our research, MATLAB was used to enable graphical representations and numerical simulations.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100567"},"PeriodicalIF":0.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873457","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
Advanced numerical treatment of modified Burger’s equations using method of lines and cubic B-splines 用直线法和三次b样条法对修正的Burger方程进行了高级数值处理
Q3 Mathematics Pub Date : 2025-04-23 DOI: 10.1016/j.rico.2025.100561
Muhammad Yaseen , Irsa Ashraf , Aziz Khan , Thabet Abdeljawad
The modified Burger’s equation is a nonlinear partial differential equation that has numerous applications across physics and engineering. This paper presents a numerical solution approach by combining the method of lines and cubic B-Spline interpolation for the modified Burger’s equation. By discretizing the spatial domain into grid points via the cubic B-splines, the given PDE is transformed into a system of ordinary differential equations (ODEs), facilitating approximation of the solution. The resulting ODE system is then numerically solved via the fourth-order Runge–Kutta method. Stability and convergence analyses of the scheme are also conducted. A comprehensive numerical analysis of the scheme with a comparison against previously published results in the literature is presented. This study enriches the field of computational mathematics by exploring cubic B-spline interpolation within the context of the method of lines for solving both linear and nonlinear partial differential equations.
修正的伯格方程是一个非线性偏微分方程,在物理和工程领域有许多应用。本文将直线法与三次b样条插值法相结合,提出了一种修正Burger方程的数值求解方法。通过三次b样条将空间域离散为网格点,将给定的PDE转化为常微分方程(ode)系统,便于解的逼近。然后通过四阶龙格-库塔法对得到的ODE系统进行数值求解。并对该方案进行了稳定性和收敛性分析。对该方案进行了全面的数值分析,并与先前发表的文献结果进行了比较。本研究通过探索三次b样条插值法在求解线性和非线性偏微分方程的背景下丰富了计算数学领域。
{"title":"Advanced numerical treatment of modified Burger’s equations using method of lines and cubic B-splines","authors":"Muhammad Yaseen ,&nbsp;Irsa Ashraf ,&nbsp;Aziz Khan ,&nbsp;Thabet Abdeljawad","doi":"10.1016/j.rico.2025.100561","DOIUrl":"10.1016/j.rico.2025.100561","url":null,"abstract":"<div><div>The modified Burger’s equation is a nonlinear partial differential equation that has numerous applications across physics and engineering. This paper presents a numerical solution approach by combining the method of lines and cubic B-Spline interpolation for the modified Burger’s equation. By discretizing the spatial domain into grid points via the cubic B-splines, the given PDE is transformed into a system of ordinary differential equations (ODEs), facilitating approximation of the solution. The resulting ODE system is then numerically solved via the fourth-order Runge–Kutta method. Stability and convergence analyses of the scheme are also conducted. A comprehensive numerical analysis of the scheme with a comparison against previously published results in the literature is presented. This study enriches the field of computational mathematics by exploring cubic B-spline interpolation within the context of the method of lines for solving both linear and nonlinear partial differential equations.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100561"},"PeriodicalIF":0.0,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873456","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
Fixed point theorem for Interpolative contraction of Suzuki type mappings in CAT (0) spaces CAT(0)空间中Suzuki型映射的插值收缩不动点定理
Q3 Mathematics Pub Date : 2025-04-23 DOI: 10.1016/j.rico.2025.100566
Muhammad Sarwar , Nabil Mlaiki , Faisal Iqbal
In this work, we obtained a fixed point theorems ωψinterpolative Hardy–Rogers contraction, ωψinterpolative Kannan contraction and ωψinterpolative Reich–Rus–Ciric type contraction for Suzuki generalized non-expansive mappings in the context of complete CAT(0) metric space. The novelty of this finding as to explore the interplay between the geometric properties of CAT (0) metric spaces and the analytical conditions imposed by Suzuki-generalized nonexpansive mappings.
在这项研究中,我们获得了完整 CAT(0) 度量空间中铃木广义非展开映射的定点定理 ω-ψ-interpolative Hardy-Rogers contraction、ω-ψ-interpolative Kannan contraction 和 ω-ψ-interpolative Reich-Rus-Ciric type contraction。这一发现的新颖之处在于探索了 CAT (0) 度量空间的几何特性与铃木广义非展开映射的分析条件之间的相互作用。
{"title":"Fixed point theorem for Interpolative contraction of Suzuki type mappings in CAT (0) spaces","authors":"Muhammad Sarwar ,&nbsp;Nabil Mlaiki ,&nbsp;Faisal Iqbal","doi":"10.1016/j.rico.2025.100566","DOIUrl":"10.1016/j.rico.2025.100566","url":null,"abstract":"<div><div>In this work, we obtained a fixed point theorems <span><math><mrow><mi>ω</mi><mo>−</mo><mi>ψ</mi><mo>−</mo></mrow></math></span>interpolative Hardy–Rogers contraction, <span><math><mrow><mi>ω</mi><mo>−</mo><mi>ψ</mi><mo>−</mo></mrow></math></span>interpolative Kannan contraction and <span><math><mrow><mi>ω</mi><mo>−</mo><mi>ψ</mi><mo>−</mo></mrow></math></span>interpolative Reich–Rus–Ciric type contraction for Suzuki generalized non-expansive mappings in the context of complete CAT(0) metric space. The novelty of this finding as to explore the interplay between the geometric properties of CAT (0) metric spaces and the analytical conditions imposed by Suzuki-generalized nonexpansive mappings.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100566"},"PeriodicalIF":0.0,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873618","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
Optimal control on a metric graph for a damped linear fractional hyperbolic problem 一类阻尼线性分数型双曲型问题的度量图最优控制
Q3 Mathematics Pub Date : 2025-04-21 DOI: 10.1016/j.rico.2025.100563
Pasquini Fotsing Soh
The optimal control of fractional PDEs has been extensively studied in standard domains, but the existence and uniqueness of optimal controls in metric graphs, particularly for hyperbolic equations, remain less explored. Most studies focus on classical damping (e.g., viscous damping) or integer-order damping in hyperbolic problems, whereas the impact of fractional-order damping on control and optimization in metric graphs has received limited attention. Given the potential applications of these results to real-world problems such as pollution transport in river networks, traffic flow control, and heat propagation in branched structures, this presents a significant and promising research gap. This paper addresses a quadratic control problem involving a damped linear fractional hyperbolic equation subject to Dirichlet and Neumann boundary conditions. The considered fractional derivative is a composition of the right Caputo fractional derivative and the left Riemann–Liouville fractional derivative. We first give some existence and uniqueness results on an open bounded real interval, prove the existence of solutions to a quadratic optimal control problem and provide a characterization via optimality systems. We then investigate the analogous problems for a fractional Damped hyperbolic problem on a metric graph with mixed Dirichlet and Neumann boundary controls. The paper’s motivation likely arises from the desire to advance mathematical theory and control theory, especially in the context of complex systems represented by metric graphs. The potential impact or applications of these results span a wide range of fields, from engineering and network control to medical imaging and environmental science, where understanding and optimizing damped hyperbolic systems are essential.
分数阶偏微分方程的最优控制在标准域中得到了广泛的研究,但度量图中最优控制的存在性和唯一性,特别是双曲方程的最优控制,仍然很少被探索。大多数研究集中在经典阻尼(如粘性阻尼)或双曲型问题中的整数阶阻尼上,而分数阶阻尼对度量图控制和优化的影响却受到有限的关注。考虑到这些结果在现实问题中的潜在应用,如河流网络中的污染运输、交通流量控制和分支结构中的热传播,这提出了一个重要而有前途的研究空白。本文研究了一个二阶控制问题,该问题涉及一个具有Dirichlet和Neumann边界条件的阻尼线性分数型双曲方程。所考虑的分数阶导数是右卡普托分数阶导数和左黎曼-刘维尔分数阶导数的组合。首先给出了开有界实区间上的存在唯一性结果,证明了一类二次型最优控制问题解的存在性,并给出了最优性系统的刻画。然后,我们研究了具有Dirichlet和Neumann混合边界控制的度量图上的分数阶阻尼双曲问题的类似问题。本文的动机可能源于推进数学理论和控制理论的愿望,特别是在度量图表示的复杂系统的背景下。这些结果的潜在影响或应用跨越了广泛的领域,从工程和网络控制到医学成像和环境科学,在这些领域,理解和优化阻尼双曲系统是必不可少的。
{"title":"Optimal control on a metric graph for a damped linear fractional hyperbolic problem","authors":"Pasquini Fotsing Soh","doi":"10.1016/j.rico.2025.100563","DOIUrl":"10.1016/j.rico.2025.100563","url":null,"abstract":"<div><div>The optimal control of fractional PDEs has been extensively studied in standard domains, but the existence and uniqueness of optimal controls in metric graphs, particularly for hyperbolic equations, remain less explored. Most studies focus on classical damping (e.g., viscous damping) or integer-order damping in hyperbolic problems, whereas the impact of fractional-order damping on control and optimization in metric graphs has received limited attention. Given the potential applications of these results to real-world problems such as pollution transport in river networks, traffic flow control, and heat propagation in branched structures, this presents a significant and promising research gap. This paper addresses a quadratic control problem involving a damped linear fractional hyperbolic equation subject to Dirichlet and Neumann boundary conditions. The considered fractional derivative is a composition of the right Caputo fractional derivative and the left Riemann–Liouville fractional derivative. We first give some existence and uniqueness results on an open bounded real interval, prove the existence of solutions to a quadratic optimal control problem and provide a characterization via optimality systems. We then investigate the analogous problems for a fractional Damped hyperbolic problem on a metric graph with mixed Dirichlet and Neumann boundary controls. The paper’s motivation likely arises from the desire to advance mathematical theory and control theory, especially in the context of complex systems represented by metric graphs. The potential impact or applications of these results span a wide range of fields, from engineering and network control to medical imaging and environmental science, where understanding and optimizing damped hyperbolic systems are essential.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100563"},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859264","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
Analytical techniques for understanding biofilm modeling in indoor air quality management 了解室内空气质量管理中生物膜模型的分析技术
Q3 Mathematics Pub Date : 2025-04-21 DOI: 10.1016/j.rico.2025.100564
R. Vignesh Raju , N. Jeeva , M.C. Kekana , S.E. Fadugba , R. Swaminathan
This study presents a theoretical and mathematical framework for developing a dimensionless model to enhance the removal of volatile organic compounds (VOCs) through (botanical) biofiltration in indoor environments. Although biofiltration is a promising strategy for the control of indoor air pollution, the precise mechanism of VOC removal remains not well understood. The proposed model is formulated using nonlinear differential equations under specified boundary conditions to represent biofilm mass balance concentrations. To obtain approximate solutions, Homotopy perturbation and Akbari-Ganji analytical techniques are applied. In addition, numerical simulations are performed using MATLAB® and compared with analytical results to validate precision. The findings indicate that optimizing the biofilm thickness and reaction rates significantly enhances the removal efficiency of VOCs. Improves understanding of the behavior of biofilms through advanced mathematical analysis, contributing to the development of more effective biofiltration strategies for improved indoor air quality management.
本研究提出了一个理论和数学框架,用于开发无量纲模型,以通过(植物)生物过滤在室内环境中增强挥发性有机化合物(VOCs)的去除。虽然生物过滤是控制室内空气污染的一种很有前途的策略,但去除挥发性有机化合物的确切机制仍不清楚。该模型采用非线性微分方程在特定的边界条件下表示生物膜的质量平衡浓度。为了得到近似解,应用了同伦摄动和Akbari-Ganji解析技术。此外,利用MATLAB®进行了数值模拟,并与分析结果进行了比较,以验证精度。结果表明,优化生物膜厚度和反应速率可显著提高VOCs的去除效率。通过先进的数学分析,提高对生物膜行为的理解,有助于开发更有效的生物过滤策略,以改善室内空气质量管理。
{"title":"Analytical techniques for understanding biofilm modeling in indoor air quality management","authors":"R. Vignesh Raju ,&nbsp;N. Jeeva ,&nbsp;M.C. Kekana ,&nbsp;S.E. Fadugba ,&nbsp;R. Swaminathan","doi":"10.1016/j.rico.2025.100564","DOIUrl":"10.1016/j.rico.2025.100564","url":null,"abstract":"<div><div>This study presents a theoretical and mathematical framework for developing a dimensionless model to enhance the removal of volatile organic compounds (VOCs) through (botanical) biofiltration in indoor environments. Although biofiltration is a promising strategy for the control of indoor air pollution, the precise mechanism of VOC removal remains not well understood. The proposed model is formulated using nonlinear differential equations under specified boundary conditions to represent biofilm mass balance concentrations. To obtain approximate solutions, Homotopy perturbation and Akbari-Ganji analytical techniques are applied. In addition, numerical simulations are performed using MATLAB® and compared with analytical results to validate precision. The findings indicate that optimizing the biofilm thickness and reaction rates significantly enhances the removal efficiency of VOCs. Improves understanding of the behavior of biofilms through advanced mathematical analysis, contributing to the development of more effective biofiltration strategies for improved indoor air quality management.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100564"},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869729","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
A brief survey of line search methods for optimization problems 优化问题的直线搜索方法综述
Q3 Mathematics Pub Date : 2025-04-19 DOI: 10.1016/j.rico.2025.100550
Audu Umar Omesa , Sulaiman Mohammed Ibrahim , Rabiu Bashir Yunus , Issam A.R. Moghrabi , Muhammad Y. Waziri , Aceng Sambas
The line search methods for optimization problems have garnered widespread adoption across various domains and applications, primarily due to their effectiveness in addressing intricate problems. An important component that ensures the success of various iterative algorithms is the search direction (dk) while the step-size (αk) ensures global convergence in different schemes. While the literature offers general guidelines for line search selection, few studies investigate how specific problem constraints impact the performance of optimization methods. This paper presents a comprehensive survey and classification of line search methods, focusing on their computational efficiency and performance under varied problem constraints. We examine the influence of different line search parameters across standard test functions through extensive numerical tests. Our findings suggest practical guidelines for selecting suitable line search methods based on problem characteristics, offering researchers insights into method suitability, and contributing to the significant practical application of optimization in diverse fields.
优化问题的线搜索方法在各个领域和应用程序中得到了广泛的采用,主要是因为它们在解决复杂问题方面的有效性。确保各种迭代算法成功的一个重要组成部分是搜索方向(dk),而步长(αk)确保了不同方案的全局收敛。虽然文献为线搜索选择提供了一般指导,但很少有研究调查特定问题约束如何影响优化方法的性能。本文对线搜索方法进行了全面的调查和分类,重点研究了它们在不同问题约束下的计算效率和性能。我们通过广泛的数值试验研究了不同线搜索参数对标准测试函数的影响。我们的研究结果为基于问题特征选择合适的线搜索方法提供了实用的指导方针,为研究人员提供了方法适用性的见解,并为优化在不同领域的重大实际应用做出了贡献。
{"title":"A brief survey of line search methods for optimization problems","authors":"Audu Umar Omesa ,&nbsp;Sulaiman Mohammed Ibrahim ,&nbsp;Rabiu Bashir Yunus ,&nbsp;Issam A.R. Moghrabi ,&nbsp;Muhammad Y. Waziri ,&nbsp;Aceng Sambas","doi":"10.1016/j.rico.2025.100550","DOIUrl":"10.1016/j.rico.2025.100550","url":null,"abstract":"<div><div>The line search methods for optimization problems have garnered widespread adoption across various domains and applications, primarily due to their effectiveness in addressing intricate problems. An important component that ensures the success of various iterative algorithms is the search direction (<span><math><msub><mrow><mi>d</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>) while the step-size (<span><math><msub><mrow><mi>α</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>) ensures global convergence in different schemes. While the literature offers general guidelines for line search selection, few studies investigate how specific problem constraints impact the performance of optimization methods. This paper presents a comprehensive survey and classification of line search methods, focusing on their computational efficiency and performance under varied problem constraints. We examine the influence of different line search parameters across standard test functions through extensive numerical tests. Our findings suggest practical guidelines for selecting suitable line search methods based on problem characteristics, offering researchers insights into method suitability, and contributing to the significant practical application of optimization in diverse fields.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100550"},"PeriodicalIF":0.0,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869730","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
Optimal control of interactions between invasive alien and native species in a certain time period with the r-PINN approach 用 r-PINN 方法优化控制外来入侵物种和本地物种在一定时期内的相互作用
Q3 Mathematics Pub Date : 2025-04-12 DOI: 10.1016/j.rico.2025.100557
Yudi Ari Adi , Danang A. Pratama , Maharani A. Bakar , Sugiyarto Surono , Suparman , Agung Budiantoro
The spread of invasive species poses a significant challenge to native biodiversity and ecosystem stability. An optimal control strategies to minimize the negative impacts of invasive species populations on native species and the ecosystem must be done in order to preserve the diversity in the ecosystem. This study proposes an optimal control framework to mitigate the impact of invasive species by enhancing native species preservation through a reaction–diffusion mathematical model. To solve the system efficiently, a restarting Physics-Informed Neural Network (r-PINN) is employed and benchmarked against the basic PINN. Numerical simulations reveal that r-PINN achieves a reduced training duration of 236.17 s compared to 289.18 s for the basic PINN, representing an 18.32% improvement in computational efficiency. Moreover, r-PINN demonstrates enhanced predictive accuracy, reducing the mean absolute error (MAE) by 4.12%, mean squared error (MSE) training loss by 12.04%, and MSE test loss by 5.11%. These results were validated against the Finite Difference Method (FDM), ensuring correctness of the proposed PINN-based approach. The implementation of the optimal control strategy led to a clear increase in native species populations and effective suppression of invasive species across spatial and temporal domains. Overall, the r-PINN framework offers a reliable and computationally efficient tool for solving nonlinear ecological models involving spatiotemporal control of species populations.
入侵物种的扩散对本地生物多样性和生态系统的稳定性构成了重大挑战。为了保护生态系统的多样性,必须采取最优控制策略,使入侵物种种群对本地物种和生态系统的负面影响最小化。本研究通过反应-扩散数学模型,提出了通过加强本土物种保护来减轻入侵物种影响的最优控制框架。为了有效地解决系统问题,采用了重新启动的物理信息神经网络(r-PINN),并对基本的PINN进行了基准测试。数值模拟表明,r-PINN的训练时间比基本PINN的289.18 s缩短了236.17 s,计算效率提高了18.32%。此外,r-PINN还能提高预测精度,将平均绝对误差(MAE)降低4.12%,均方误差(MSE)训练损失降低12.04%,MSE测试损失降低5.11%。这些结果与有限差分方法(FDM)进行了验证,确保了所提出的基于pup的方法的正确性。实施最优控制策略后,本地物种种群数量明显增加,入侵物种在不同时空域均得到有效抑制。总体而言,r-PINN框架为解决涉及物种种群时空控制的非线性生态模型提供了可靠且计算效率高的工具。
{"title":"Optimal control of interactions between invasive alien and native species in a certain time period with the r-PINN approach","authors":"Yudi Ari Adi ,&nbsp;Danang A. Pratama ,&nbsp;Maharani A. Bakar ,&nbsp;Sugiyarto Surono ,&nbsp;Suparman ,&nbsp;Agung Budiantoro","doi":"10.1016/j.rico.2025.100557","DOIUrl":"10.1016/j.rico.2025.100557","url":null,"abstract":"<div><div>The spread of invasive species poses a significant challenge to native biodiversity and ecosystem stability. An optimal control strategies to minimize the negative impacts of invasive species populations on native species and the ecosystem must be done in order to preserve the diversity in the ecosystem. This study proposes an optimal control framework to mitigate the impact of invasive species by enhancing native species preservation through a reaction–diffusion mathematical model. To solve the system efficiently, a restarting Physics-Informed Neural Network (r-PINN) is employed and benchmarked against the basic PINN. Numerical simulations reveal that r-PINN achieves a reduced training duration of 236.17 s compared to 289.18 s for the basic PINN, representing an 18.32% improvement in computational efficiency. Moreover, r-PINN demonstrates enhanced predictive accuracy, reducing the mean absolute error (MAE) by 4.12%, mean squared error (MSE) training loss by 12.04%, and MSE test loss by 5.11%. These results were validated against the Finite Difference Method (FDM), ensuring correctness of the proposed PINN-based approach. The implementation of the optimal control strategy led to a clear increase in native species populations and effective suppression of invasive species across spatial and temporal domains. Overall, the r-PINN framework offers a reliable and computationally efficient tool for solving nonlinear ecological models involving spatiotemporal control of species populations.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100557"},"PeriodicalIF":0.0,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829874","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
Fuzzy TOPSIS technique for multi-criteria group decision-making: A study of crude oil price 多准则群体决策的模糊TOPSIS技术:原油价格研究
Q3 Mathematics Pub Date : 2025-04-09 DOI: 10.1016/j.rico.2025.100565
Sandhya Priya Baral, Prashanta Kumar Parida, Diptirekha Sahoo
Understanding the state of the world economy is improved by forecasting the price from oil industry. The field of crude oil price forecasting have recently heard about the technique for order preference by similarity to ideal solution (TOPSIS) and fuzzy TOPSIS (FTOPSIS) techniques; while choosing the crude oil that counteract in global oil spill reactions. A multi-criteria decision-making (MCDM) challenge has to weight several options according to various criteria. The present study, initially describes type-1 FTOPSIS technique. Secondly, it describes its extension to handle the uncertain data, known as type-1 FTOPSIS technique in multi-criteria group decision making (MCGDM). Thirdly, it also describes type-1 FTOPSIS for group decision-making (DM) to rating the response choices to a simulated crude oil price, which is one of the biggest crude oil reservoirs in the world. The outcome demonstrates the type-1 fuzzy TOPSIS framework for determining the optimal solution by considering the crude oil globally.
通过预测石油行业的价格,可以更好地了解世界经济状况。在原油价格预测领域,最近出现了基于理想解相似性的排序偏好技术(TOPSIS)和模糊TOPSIS (FTOPSIS)技术;同时选择原油来抵消全球石油泄漏反应。多标准决策(MCDM)挑战必须根据不同的标准对多个选项进行权衡。本研究首先描述了1型FTOPSIS技术。其次,介绍了该方法在多准则群决策(MCGDM)中对不确定数据处理的扩展,即type-1 FTOPSIS技术。第三,描述了1型FTOPSIS用于群体决策(DM),对模拟原油价格的响应选择进行评级,这是世界上最大的原油储层之一。结果表明,在全局考虑原油的情况下,一类模糊TOPSIS框架可用于确定最优解。
{"title":"Fuzzy TOPSIS technique for multi-criteria group decision-making: A study of crude oil price","authors":"Sandhya Priya Baral,&nbsp;Prashanta Kumar Parida,&nbsp;Diptirekha Sahoo","doi":"10.1016/j.rico.2025.100565","DOIUrl":"10.1016/j.rico.2025.100565","url":null,"abstract":"<div><div>Understanding the state of the world economy is improved by forecasting the price from oil industry. The field of crude oil price forecasting have recently heard about the technique for order preference by similarity to ideal solution (TOPSIS) and fuzzy TOPSIS (FTOPSIS) techniques; while choosing the crude oil that counteract in global oil spill reactions. A multi-criteria decision-making (MCDM) challenge has to weight several options according to various criteria. The present study, initially describes type-1 FTOPSIS technique. Secondly, it describes its extension to handle the uncertain data, known as type-1 FTOPSIS technique in multi-criteria group decision making (MCGDM). Thirdly, it also describes type-1 FTOPSIS for group decision-making (DM) to rating the response choices to a simulated crude oil price, which is one of the biggest crude oil reservoirs in the world. The outcome demonstrates the type-1 fuzzy TOPSIS framework for determining the optimal solution by considering the crude oil globally.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100565"},"PeriodicalIF":0.0,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143839744","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
Factors influencing women's participation in SHGs: An empirical evidence from mayurbhanj district of Odisha, India 影响妇女参与SHGs的因素:来自印度奥里萨邦mayurbhanj地区的经验证据
Q3 Mathematics Pub Date : 2025-04-09 DOI: 10.1016/j.rico.2025.100559
Itishree Panda , Damodar Jena , S Naveen , Saismita Swain , Shusrisangeeta Das
Women's empowerment is essential for fostering inclusive and sustainable development. In India, self-help groups are widely recognised as an effective strategy not only for women's empowerment but also tackling poverty. The main objective of the study is to assess factors that influence women's participation in self-help groups (SHGs) and ascertain its impact on social and economic empowerment. The study was done in the Mayurbhanj district of Odisha, India. Primary data have been collected from female respondents of SHGs, members and non-members. Logit regression model has been used to explain the factors influencing women's involvement in self-help groups and empowerment index has been developed to assess how SHGs affect women's empowerment. The findings indicates that age, family structure, access to credit, community participation, and land ownership, significantly affect women's participation in SHGs.
增强妇女权能对于促进包容性和可持续发展至关重要。在印度,自助团体被广泛认为不仅是赋予妇女权力的有效策略,也是解决贫困问题的有效策略。这项研究的主要目的是评估影响妇女参加自助团体的因素,并确定其对社会和经济赋权的影响。这项研究是在印度奥里萨邦的Mayurbhanj地区进行的。主要数据收集自小组成员和非成员的女性受访者。采用Logit回归模型解释了影响妇女参与自助团体的因素,并制定了赋权指数来评估自助团体对妇女赋权的影响。研究结果表明,年龄、家庭结构、信贷获取、社区参与和土地所有权对妇女参与SHGs有显著影响。
{"title":"Factors influencing women's participation in SHGs: An empirical evidence from mayurbhanj district of Odisha, India","authors":"Itishree Panda ,&nbsp;Damodar Jena ,&nbsp;S Naveen ,&nbsp;Saismita Swain ,&nbsp;Shusrisangeeta Das","doi":"10.1016/j.rico.2025.100559","DOIUrl":"10.1016/j.rico.2025.100559","url":null,"abstract":"<div><div>Women's empowerment is essential for fostering inclusive and sustainable development. In India, self-help groups are widely recognised as an effective strategy not only for women's empowerment but also tackling poverty. The main objective of the study is to assess factors that influence women's participation in self-help groups (SHGs) and ascertain its impact on social and economic empowerment. The study was done in the Mayurbhanj district of Odisha, India. Primary data have been collected from female respondents of SHGs, members and non-members. Logit regression model has been used to explain the factors influencing women's involvement in self-help groups and empowerment index has been developed to assess how SHGs affect women's empowerment. The findings indicates that age, family structure, access to credit, community participation, and land ownership, significantly affect women's participation in SHGs.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100559"},"PeriodicalIF":0.0,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826383","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
The maximum range method for finding initial basic feasible solution for transportation problems 寻找运输问题初始基本可行解的最大范围法
Q3 Mathematics Pub Date : 2025-04-08 DOI: 10.1016/j.rico.2025.100551
Fredrick Asenso Wireko, Ignatius Dennis Kwesi Mensah, Emmanuel Nii Apai Aborhey, Samuel Adu Appiah, Charles Sebil, Joseph Ackora-Prah
The transportation problem is an essential branch of mathematics that industries use to minimize costs. The transportation problem is an optimization technique suitably modeled using linear programming. To obtain an optimal solution to the transportation problem, first compute the initial basic feasible solution, which is then subsequently optimized. Several algorithms, like Vogel’s approximation method, maximum difference extreme difference method, demand-based allocation method, and others, are used in literature to determine the initial basic feasible solution to these transportation problems. This paper proposes a robust algorithm that can produce an initial basic feasible solution asymptotic to the optimal solution. The study further carried out a performance analysis by comparing the proposed algorithm’s results with those of some existing algorithms. The observation was that the proposed algorithm in many cases produced an optimal initial basic feasible solution (IBFS) for both balanced and unbalanced transportation problems and also tend to have a very high average of correctness percentage compared to some existing algorithms.
运输问题是一个重要的数学分支,工业用它来最小化成本。运输问题是一个用线性规划适当建模的优化问题。为了得到运输问题的最优解,首先计算初始基本可行解,然后对其进行优化。文献中使用了几种算法,如Vogel近似法、最大差值极差法、基于需求的分配法等,来确定这些运输问题的初始基本可行解。本文提出了一种鲁棒算法,该算法可以产生一个初始基本可行解渐近于最优解。通过将本文算法的结果与现有算法的结果进行比较,进一步进行了性能分析。观察到,在许多情况下,所提出的算法对平衡和不平衡运输问题都产生了最优初始基本可行解(IBFS),并且与一些现有算法相比,也往往具有非常高的平均正确率。
{"title":"The maximum range method for finding initial basic feasible solution for transportation problems","authors":"Fredrick Asenso Wireko,&nbsp;Ignatius Dennis Kwesi Mensah,&nbsp;Emmanuel Nii Apai Aborhey,&nbsp;Samuel Adu Appiah,&nbsp;Charles Sebil,&nbsp;Joseph Ackora-Prah","doi":"10.1016/j.rico.2025.100551","DOIUrl":"10.1016/j.rico.2025.100551","url":null,"abstract":"<div><div>The transportation problem is an essential branch of mathematics that industries use to minimize costs. The transportation problem is an optimization technique suitably modeled using linear programming. To obtain an optimal solution to the transportation problem, first compute the initial basic feasible solution, which is then subsequently optimized. Several algorithms, like Vogel’s approximation method, maximum difference extreme difference method, demand-based allocation method, and others, are used in literature to determine the initial basic feasible solution to these transportation problems. This paper proposes a robust algorithm that can produce an initial basic feasible solution asymptotic to the optimal solution. The study further carried out a performance analysis by comparing the proposed algorithm’s results with those of some existing algorithms. The observation was that the proposed algorithm in many cases produced an optimal initial basic feasible solution (IBFS) for both balanced and unbalanced transportation problems and also tend to have a very high average of correctness percentage compared to some existing algorithms.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100551"},"PeriodicalIF":0.0,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815111","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
期刊
Results in Control and Optimization
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1